LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 5370/287, 9495/5453

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 5370/287, 9495/5453 i.e 15/5453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5370/287, 9495/5453.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5370/287,9495/5453?

Given fractions are 5370/287,9495/5453

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5370/287,9495/5453, numerators are 5370,9495

Denominators are 287,5453

The GCF of 5370,9495 is 15 .

LCM of 287,5453 is 5453.

The greatest common factor of 5370/287,9495/5453 = [GCF of 5370,9495]/[LCM of 287,5453]= 15/5453

Therefore, the GCF of 5370/287,9495/5453 is 15/5453.

Greatest Common Factor of 5370,9495

To find the highest common factor of 5370,9495, we have to find the factors of both numbers and list the highest common factor.

The factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370

The factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495

The HCF of 5370,9495 is 15.

Lets's calculate GCF of 5370,9495

Greatest Common Factor (GCF) of 5370,9495 By Common Division

3 5370, 9495
5 1790, 3165
358, 633

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 5370,9495 By Matching Biggest Common Factor Method

Greatest Common Factor of 5370,9495 By Matching Biggest Common Factor Method

Now, list down the factors of 5370

:

1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370

Now, list down the factors of 9495

:

1,3,5,9,15,45,211,633,1055,1899,3165,9495

Greatest Common Factor

We found the factors 5370,9495 . The biggest common factor number is the GCF number.
So the greatest common factor 5370,9495 is 15.


Lets's calculate LCM of 287,5453

Lowest Common Multiple of 287,5453 using Common Division

7 287, 5453
41 41, 779
1, 19

∴ So the LCM of the given numbers is 7 x 41 x 1 x 19 = 5453

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/5453

Therefore, the GCF of Fractions 5370/287,9495/5453 is 15/5453

Least Common Multiple of 287,5453 with GCF Formula

Least Common Multiple of 287,5453 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 287,5453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,5453) = 287

common factors(in case of two or more numbers have common factors) = 1

GCF(287,5453) x common factors =287 x 1 = 287

LCM(287,5453) = ( 287 × 5453 ) / 287

LCM(287,5453) = 1565011 / 287

LCM(287,5453) = 5453


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5370/287, 9495/5453

1. What is the HCF of 5370,9495?

The HCF of 5370,9495 is 15

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5370/287, 9495/5453?

Answer: GCF of Numerators as per given numbers 5370/287, 9495/5453 is

GCF of Numerators i.e. for 5370,9495 is 15

LCM of denominators i.e. for 287,5453 is 5453.

Thus, GCF of Fractions is 15/5453.Finally, GCF of Fractions for 5370/287, 9495/5453 is 15/5453.