Greatest Common Factor of 231/492, 7350/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/492, 7350/784

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 231/492,7350/784

Given fractions are 231/492,7350/784

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 231,7350

Greatest Common Factor of Numerators i.e. GCF of 231,7350 is 21 .

LCM of Denominators means LCM of 492,784 as per the given fractions.

LCM of 492,784 is 96432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,7350

GCF of Fractions 231/492,7350/784 is 21/96432

3 231, 7350
7 77, 2450
11, 350

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 231,7350 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,7350 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350

Greatest Common Factor

We found the factors 231,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 231,7350 is 21.

Lets's calculate LCM of 492,784

2 492, 784
2 246, 392
123, 196

∴ So the LCM of the given numbers is 2 x 2 x 123 x 196 = 96432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/96432

Therefore, the GCF of Fractions 231/492,7350/784 is 21/96432

Least Common Multiple of 492,784 with GCF Formula

Least Common Multiple of 492,784 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 492,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,784) = 4

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

GCF(492,784) x common factors =4 x 1 = 4

LCM(492,784) = ( 492 × 784 ) / 4

LCM(492,784) = 385728 / 4

LCM(492,784) = 96432


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 231/492, 7350/784

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 231/492, 7350/784?

Answer: GCF of Numerators as per given numbers 231/492, 7350/784 is

GCF of Numerators i.e. for 231,7350 is 21

LCM of denominators i.e. for 492,784 is 96432.

Thus, GCF of Fractions is 21/96432.Finally, GCF of Fractions for 231/492, 7350/784 is 21/96432.