How to Find GCF of 5370/234, 2651/8456?

GCF of 5370/234, 2651/8456

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 5370/234, 2651/8456 i.e 1/989352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5370/234, 2651/8456.

Enter two or more fractions separated by "commas"

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

What is the GCF of 5370/234,2651/8456?

Given fractions are 5370/234,2651/8456

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 5370/234,2651/8456, numerators are 5370,2651

Denominators are 234,8456

The GCF of 5370,2651 is 1 .

LCM of 234,8456 is 989352.

The greatest common factor of 5370/234,2651/8456 = [GCF of 5370,2651]/[LCM of 234,8456]= 1/989352

Therefore, the GCF of 5370/234,2651/8456 is 1/989352.

Greatest Common Factor of 5370,2651

To find the highest common factor of 5370,2651, 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 2651 are 1, 11, 241, 2651

The HCF of 5370,2651 is 1.

Lets's calculate GCF of 5370,2651

Greatest Common Factor (GCF) of 5370,2651 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5370,2651 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 2651

1,11,241,2651

Greatest Common Factor

We found the factors 5370,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 5370,2651 is 1.

Lets's calculate LCM of 234,8456

Lowest Common Multiple of 234,8456 using Common Division

2	234, 8456
	117, 4228

∴ So the LCM of the given numbers is 2 x 117 x 4228 = 989352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/989352

Therefore, the GCF of Fractions 5370/234,2651/8456 is 1/989352

Least Common Multiple of 234,8456 with GCF Formula

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

We need to calculate greatest common factor of 234,8456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,8456) = 2

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

GCF(234,8456) x common factors =2 x 1 = 2

LCM(234,8456) = ( 234 × 8456 ) / 2

LCM(234,8456) = 1978704 / 2

LCM(234,8456) = 989352

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5370/234, 2651/8456

1. What is the HCF of 5370,2651?

The HCF of 5370,2651 is 1

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 5370/234, 2651/8456?

Answer: GCF of Numerators as per given numbers 5370/234, 2651/8456 is

GCF of Numerators i.e. for 5370,2651 is 1

LCM of denominators i.e. for 234,8456 is 989352.

Thus, GCF of Fractions is 1/989352.Finally, GCF of Fractions for 5370/234, 2651/8456 is 1/989352.