Greatest Common Factor of 770/111, 410/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 770/111, 410/118

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 770/111,410/118

Given fractions are 770/111,410/118

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 770,410

Greatest Common Factor of Numerators i.e. GCF of 770,410 is 10 .

LCM of Denominators means LCM of 111,118 as per the given fractions.

LCM of 111,118 is 13098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 770,410

GCF of Fractions 770/111,410/118 is 10/13098

2 770, 410
5 385, 205
77, 41

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

Greatest Common Factor of 770,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,410 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 770,410 . The biggest common factor number is the GCF number.
So the greatest common factor 770,410 is 10.

Lets's calculate LCM of 111,118

Given numbers has no common factors except 1. So, there LCM is their product i.e 13098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/13098

Therefore, the GCF of Fractions 770/111,410/118 is 10/13098

Least Common Multiple of 111,118 with GCF Formula

Least Common Multiple of 111,118 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 111,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,118) = 1

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

GCF(111,118) x common factors =1 x 1 = 1

LCM(111,118) = ( 111 × 118 ) / 1

LCM(111,118) = 13098 / 1

LCM(111,118) = 13098


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 770/111, 410/118

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 770/111, 410/118?

Answer: GCF of Numerators as per given numbers 770/111, 410/118 is

GCF of Numerators i.e. for 770,410 is 10

LCM of denominators i.e. for 111,118 is 13098.

Thus, GCF of Fractions is 10/13098.Finally, GCF of Fractions for 770/111, 410/118 is 10/13098.