Greatest Common Factor of 709/534, 924/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 709/534, 924/270

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 709/534,924/270

Given fractions are 709/534,924/270

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 709,924

Greatest Common Factor of Numerators i.e. GCF of 709,924 is 1 .

LCM of Denominators means LCM of 534,270 as per the given fractions.

LCM of 534,270 is 24030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 709,924

GCF of Fractions 709/534,924/270 is 1/24030

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

Greatest Common Factor of 709,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,924 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 709,924 . The biggest common factor number is the GCF number.
So the greatest common factor 709,924 is 1.

Lets's calculate LCM of 534,270

2 534, 270
3 267, 135
89, 45

∴ So the LCM of the given numbers is 2 x 3 x 89 x 45 = 24030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24030

Therefore, the GCF of Fractions 709/534,924/270 is 1/24030

Least Common Multiple of 534,270 with GCF Formula

Least Common Multiple of 534,270 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 534,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,270) = 6

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

GCF(534,270) x common factors =6 x 1 = 6

LCM(534,270) = ( 534 × 270 ) / 6

LCM(534,270) = 144180 / 6

LCM(534,270) = 24030


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 709/534, 924/270

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 709/534, 924/270?

Answer: GCF of Numerators as per given numbers 709/534, 924/270 is

GCF of Numerators i.e. for 709,924 is 1

LCM of denominators i.e. for 534,270 is 24030.

Thus, GCF of Fractions is 1/24030.Finally, GCF of Fractions for 709/534, 924/270 is 1/24030.