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 5959/748, 5454/8360

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 5959/748, 5454/8360 i.e 101/142120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5959/748, 5454/8360.

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 5959/748,5454/8360?

Given fractions are 5959/748,5454/8360

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 5959/748,5454/8360, numerators are 5959,5454

Denominators are 748,8360

The GCF of 5959,5454 is 101 .

LCM of 748,8360 is 142120.

The greatest common factor of 5959/748,5454/8360 = [GCF of 5959,5454]/[LCM of 748,8360]= 101/142120

Therefore, the GCF of 5959/748,5454/8360 is 101/142120.

Greatest Common Factor of 5959,5454

To find the highest common factor of 5959,5454, we have to find the factors of both numbers and list the highest common factor.

The factors of 5959 are 1, 59, 101, 5959

The factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454

The HCF of 5959,5454 is 101.

Lets's calculate GCF of 5959,5454

Greatest Common Factor (GCF) of 5959,5454 By Common Division

101 5959, 5454
59, 54

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 5959,5454 By Matching Biggest Common Factor Method

Greatest Common Factor of 5959,5454 By Matching Biggest Common Factor Method

Now, list down the factors of 5959

:

1,59,101,5959

Now, list down the factors of 5454

:

1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454

Greatest Common Factor

We found the factors 5959,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 5959,5454 is 101.


Lets's calculate LCM of 748,8360

Lowest Common Multiple of 748,8360 using Common Division

2 748, 8360
2 374, 4180
11 187, 2090
17, 190

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 190 = 142120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/142120

Therefore, the GCF of Fractions 5959/748,5454/8360 is 101/142120

Least Common Multiple of 748,8360 with GCF Formula

Least Common Multiple of 748,8360 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 748,8360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,8360) = 44

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

GCF(748,8360) x common factors =44 x 1 = 44

LCM(748,8360) = ( 748 × 8360 ) / 44

LCM(748,8360) = 6253280 / 44

LCM(748,8360) = 142120


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5959/748, 5454/8360

1. What is the HCF of 5959,5454?

The HCF of 5959,5454 is 101

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 5959/748, 5454/8360?

Answer: GCF of Numerators as per given numbers 5959/748, 5454/8360 is

GCF of Numerators i.e. for 5959,5454 is 101

LCM of denominators i.e. for 748,8360 is 142120.

Thus, GCF of Fractions is 101/142120.Finally, GCF of Fractions for 5959/748, 5454/8360 is 101/142120.