Greatest Common Factor of 7910/701, 1760/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7910/701, 1760/119

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 7910/701,1760/119

Given fractions are 7910/701,1760/119

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 7910,1760

Greatest Common Factor of Numerators i.e. GCF of 7910,1760 is 10 .

LCM of Denominators means LCM of 701,119 as per the given fractions.

LCM of 701,119 is 83419 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7910,1760

GCF of Fractions 7910/701,1760/119 is 10/83419

2 7910, 1760
5 3955, 880
791, 176

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7910,1760 By Matching Biggest Common Factor Method

Greatest Common Factor of 7910,1760 By Matching Biggest Common Factor Method

Factors of 7910

List of positive integer factors of 7910 that divides 7910 without a remainder.

1,2,5,7,10,14,35,70,113,226,565,791,1130,1582,3955,7910

Factors of 1760

List of positive integer factors of 1760 that divides 1760 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760

Greatest Common Factor

We found the factors 7910,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 7910,1760 is 10.

Lets's calculate LCM of 701,119

Given numbers has no common factors except 1. So, there LCM is their product i.e 83419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/83419

Therefore, the GCF of Fractions 7910/701,1760/119 is 10/83419

Least Common Multiple of 701,119 with GCF Formula

Least Common Multiple of 701,119 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 701,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,119) = 1

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

GCF(701,119) x common factors =1 x 1 = 1

LCM(701,119) = ( 701 × 119 ) / 1

LCM(701,119) = 83419 / 1

LCM(701,119) = 83419


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 7910/701, 1760/119

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 7910/701, 1760/119?

Answer: GCF of Numerators as per given numbers 7910/701, 1760/119 is

GCF of Numerators i.e. for 7910,1760 is 10

LCM of denominators i.e. for 701,119 is 83419.

Thus, GCF of Fractions is 10/83419.Finally, GCF of Fractions for 7910/701, 1760/119 is 10/83419.