Greatest Common Factor of 796/49, 123/88, 250/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 796/49, 123/88, 250/980

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 796/49,123/88,250/980

Given fractions are 796/49,123/88,250/980

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 796,123,250

Greatest Common Factor of Numerators i.e. GCF of 796,123,250 is 1 .

LCM of Denominators means LCM of 49,88,980 as per the given fractions.

LCM of 49,88,980 is 21560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 796,123,250

GCF of Fractions 796/49,123/88,250/980 is 1/21560

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

Greatest Common Factor of 796,123,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,123,250 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 796,123,250 . The biggest common factor number is the GCF number.
So the greatest common factor 796,123,250 is 1.

Lets's calculate LCM of 49,88,980

2 49, 88, 980
2 49, 44, 490
7 49, 22, 245
7 7, 22, 35
1, 22, 5

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 1 x 22 x 5 = 21560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21560

Therefore, the GCF of Fractions 796/49,123/88,250/980 is 1/21560

Least Common Multiple of 49,88,980 with GCF Formula

Least Common Multiple of 49,88,980 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 49,88,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,88,980) = 1

common factors(in case of two or more numbers have common factors) = 196

GCF(49,88,980) x common factors =1 x 196 = 196

LCM(49,88,980) = ( 49 × 88 × 980 ) / 196

LCM(49,88,980) = 4225760 / 196

LCM(49,88,980) = 21560


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 796/49, 123/88, 250/980

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 796/49, 123/88, 250/980?

Answer: GCF of Numerators as per given numbers 796/49, 123/88, 250/980 is

GCF of Numerators i.e. for 796,123,250 is 1

LCM of denominators i.e. for 49,88,980 is 21560.

Thus, GCF of Fractions is 1/21560.Finally, GCF of Fractions for 796/49, 123/88, 250/980 is 1/21560.