Greatest Common Factor of 5970/49, 5078/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5970/49, 5078/658

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 5970/49,5078/658

Given fractions are 5970/49,5078/658

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5970,5078

Greatest Common Factor of Numerators i.e. GCF of 5970,5078 is 2 .

LCM of Denominators means LCM of 49,658 as per the given fractions.

LCM of 49,658 is 4606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5970,5078

GCF of Fractions 5970/49,5078/658 is 2/4606

2 5970, 5078
2985, 2539

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5970,5078 By Matching Biggest Common Factor Method

Greatest Common Factor of 5970,5078 By Matching Biggest Common Factor Method

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Factors of 5078

List of positive integer factors of 5078 that divides 5078 without a remainder.

1,2,2539,5078

Greatest Common Factor

We found the factors 5970,5078 . The biggest common factor number is the GCF number.
So the greatest common factor 5970,5078 is 2.

Lets's calculate LCM of 49,658

7 49, 658
7, 94

∴ So the LCM of the given numbers is 7 x 7 x 94 = 4606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4606

Therefore, the GCF of Fractions 5970/49,5078/658 is 2/4606

Least Common Multiple of 49,658 with GCF Formula

Least Common Multiple of 49,658 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 49,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,658) = 7

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

GCF(49,658) x common factors =7 x 1 = 7

LCM(49,658) = ( 49 × 658 ) / 7

LCM(49,658) = 32242 / 7

LCM(49,658) = 4606


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5970/49, 5078/658

1. 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.

2. What is the GCF of Fractions for 5970/49, 5078/658?

Answer: GCF of Numerators as per given numbers 5970/49, 5078/658 is

GCF of Numerators i.e. for 5970,5078 is 2

LCM of denominators i.e. for 49,658 is 4606.

Thus, GCF of Fractions is 2/4606.Finally, GCF of Fractions for 5970/49, 5078/658 is 2/4606.