Greatest Common Factor of 237/69, 989/7654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 237/69, 989/7654

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 237/69,989/7654

Given fractions are 237/69,989/7654

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 237,989

Greatest Common Factor of Numerators i.e. GCF of 237,989 is 1 .

LCM of Denominators means LCM of 69,7654 as per the given fractions.

LCM of 69,7654 is 528126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 237,989

GCF of Fractions 237/69,989/7654 is 1/528126

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

Greatest Common Factor of 237,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,989 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 237,989 . The biggest common factor number is the GCF number.
So the greatest common factor 237,989 is 1.

Lets's calculate LCM of 69,7654

Given numbers has no common factors except 1. So, there LCM is their product i.e 528126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/528126

Therefore, the GCF of Fractions 237/69,989/7654 is 1/528126

Least Common Multiple of 69,7654 with GCF Formula

Least Common Multiple of 69,7654 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 69,7654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,7654) = 1

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

GCF(69,7654) x common factors =1 x 1 = 1

LCM(69,7654) = ( 69 × 7654 ) / 1

LCM(69,7654) = 528126 / 1

LCM(69,7654) = 528126


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 237/69, 989/7654

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 237/69, 989/7654?

Answer: GCF of Numerators as per given numbers 237/69, 989/7654 is

GCF of Numerators i.e. for 237,989 is 1

LCM of denominators i.e. for 69,7654 is 528126.

Thus, GCF of Fractions is 1/528126.Finally, GCF of Fractions for 237/69, 989/7654 is 1/528126.