Greatest Common Factor of 274/690, 9977/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 274/690, 9977/714

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 274/690,9977/714

Given fractions are 274/690,9977/714

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 274,9977

Greatest Common Factor of Numerators i.e. GCF of 274,9977 is 1 .

LCM of Denominators means LCM of 690,714 as per the given fractions.

LCM of 690,714 is 82110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 274,9977

GCF of Fractions 274/690,9977/714 is 1/82110

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

Greatest Common Factor of 274,9977 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,9977 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 9977

List of positive integer factors of 9977 that divides 9977 without a remainder.

1,11,907,9977

Greatest Common Factor

We found the factors 274,9977 . The biggest common factor number is the GCF number.
So the greatest common factor 274,9977 is 1.

Lets's calculate LCM of 690,714

2 690, 714
3 345, 357
115, 119

∴ So the LCM of the given numbers is 2 x 3 x 115 x 119 = 82110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82110

Therefore, the GCF of Fractions 274/690,9977/714 is 1/82110

Least Common Multiple of 690,714 with GCF Formula

Least Common Multiple of 690,714 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 690,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,714) = 6

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

GCF(690,714) x common factors =6 x 1 = 6

LCM(690,714) = ( 690 × 714 ) / 6

LCM(690,714) = 492660 / 6

LCM(690,714) = 82110


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 274/690, 9977/714

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 274/690, 9977/714?

Answer: GCF of Numerators as per given numbers 274/690, 9977/714 is

GCF of Numerators i.e. for 274,9977 is 1

LCM of denominators i.e. for 690,714 is 82110.

Thus, GCF of Fractions is 1/82110.Finally, GCF of Fractions for 274/690, 9977/714 is 1/82110.