Greatest Common Factor of 970/38, 769/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 970/38, 769/459

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 970/38,769/459

Given fractions are 970/38,769/459

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 970,769

Greatest Common Factor of Numerators i.e. GCF of 970,769 is 1 .

LCM of Denominators means LCM of 38,459 as per the given fractions.

LCM of 38,459 is 17442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 970,769

GCF of Fractions 970/38,769/459 is 1/17442

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

Greatest Common Factor of 970,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,769 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 970,769 . The biggest common factor number is the GCF number.
So the greatest common factor 970,769 is 1.

Lets's calculate LCM of 38,459

Given numbers has no common factors except 1. So, there LCM is their product i.e 17442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17442

Therefore, the GCF of Fractions 970/38,769/459 is 1/17442

Least Common Multiple of 38,459 with GCF Formula

Least Common Multiple of 38,459 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 38,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,459) = 1

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

GCF(38,459) x common factors =1 x 1 = 1

LCM(38,459) = ( 38 × 459 ) / 1

LCM(38,459) = 17442 / 1

LCM(38,459) = 17442


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 970/38, 769/459

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 970/38, 769/459?

Answer: GCF of Numerators as per given numbers 970/38, 769/459 is

GCF of Numerators i.e. for 970,769 is 1

LCM of denominators i.e. for 38,459 is 17442.

Thus, GCF of Fractions is 1/17442.Finally, GCF of Fractions for 970/38, 769/459 is 1/17442.