Greatest Common Factor of 370/796, 698/512, 518/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 370/796, 698/512, 518/901

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 370/796,698/512,518/901

Given fractions are 370/796,698/512,518/901

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 370,698,518

Greatest Common Factor of Numerators i.e. GCF of 370,698,518 is 2 .

LCM of Denominators means LCM of 796,512,901 as per the given fractions.

LCM of 796,512,901 is 91801088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 370,698,518

GCF of Fractions 370/796,698/512,518/901 is 2/91801088

2 370, 698, 518
185, 349, 259

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

Greatest Common Factor of 370,698,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,698,518 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 370,698,518 . The biggest common factor number is the GCF number.
So the greatest common factor 370,698,518 is 2.

Lets's calculate LCM of 796,512,901

2 796, 512, 901
2 398, 256, 901
199, 128, 901

∴ So the LCM of the given numbers is 2 x 2 x 199 x 128 x 901 = 91801088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91801088

Therefore, the GCF of Fractions 370/796,698/512,518/901 is 2/91801088

Least Common Multiple of 796,512,901 with GCF Formula

Least Common Multiple of 796,512,901 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 796,512,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,512,901) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(796,512,901) x common factors =1 x 4 = 4

LCM(796,512,901) = ( 796 × 512 × 901 ) / 4

LCM(796,512,901) = 367204352 / 4

LCM(796,512,901) = 91801088


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 370/796, 698/512, 518/901

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 370/796, 698/512, 518/901?

Answer: GCF of Numerators as per given numbers 370/796, 698/512, 518/901 is

GCF of Numerators i.e. for 370,698,518 is 2

LCM of denominators i.e. for 796,512,901 is 91801088.

Thus, GCF of Fractions is 2/91801088.Finally, GCF of Fractions for 370/796, 698/512, 518/901 is 2/91801088.