Greatest Common Factor of 3207/784, 2650/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3207/784, 2650/492

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 3207/784,2650/492

Given fractions are 3207/784,2650/492

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 3207,2650

Greatest Common Factor of Numerators i.e. GCF of 3207,2650 is 1 .

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

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

Lets's calculate GCF of 3207,2650

GCF of Fractions 3207/784,2650/492 is 1/96432

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

Greatest Common Factor of 3207,2650 By Matching Biggest Common Factor Method

Greatest Common Factor of 3207,2650 By Matching Biggest Common Factor Method

Factors of 3207

List of positive integer factors of 3207 that divides 3207 without a remainder.

1,3,1069,3207

Factors of 2650

List of positive integer factors of 2650 that divides 2650 without a remainder.

1,2,5,10,25,50,53,106,265,530,1325,2650

Greatest Common Factor

We found the factors 3207,2650 . The biggest common factor number is the GCF number.
So the greatest common factor 3207,2650 is 1.

Lets's calculate LCM of 784,492

2 784, 492
2 392, 246
196, 123

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

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96432

Therefore, the GCF of Fractions 3207/784,2650/492 is 1/96432

Least Common Multiple of 784,492 with GCF Formula

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

GCF(784,492) = 4

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

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

LCM(784,492) = ( 784 × 492 ) / 4

LCM(784,492) = 385728 / 4

LCM(784,492) = 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 3207/784, 2650/492

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 3207/784, 2650/492?

Answer: GCF of Numerators as per given numbers 3207/784, 2650/492 is

GCF of Numerators i.e. for 3207,2650 is 1

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

Thus, GCF of Fractions is 1/96432.Finally, GCF of Fractions for 3207/784, 2650/492 is 1/96432.