Greatest Common Factor of 3221/780, 7312/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3221/780, 7312/714

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 3221/780,7312/714

Given fractions are 3221/780,7312/714

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 3221,7312

Greatest Common Factor of Numerators i.e. GCF of 3221,7312 is 1 .

LCM of Denominators means LCM of 780,714 as per the given fractions.

LCM of 780,714 is 92820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3221,7312

GCF of Fractions 3221/780,7312/714 is 1/92820

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

Greatest Common Factor of 3221,7312 By Matching Biggest Common Factor Method

Greatest Common Factor of 3221,7312 By Matching Biggest Common Factor Method

Factors of 3221

List of positive integer factors of 3221 that divides 3221 without a remainder.

1,3221

Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1,2,4,8,16,457,914,1828,3656,7312

Greatest Common Factor

We found the factors 3221,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 3221,7312 is 1.

Lets's calculate LCM of 780,714

2 780, 714
3 390, 357
130, 119

∴ So the LCM of the given numbers is 2 x 3 x 130 x 119 = 92820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92820

Therefore, the GCF of Fractions 3221/780,7312/714 is 1/92820

Least Common Multiple of 780,714 with GCF Formula

Least Common Multiple of 780,714 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 780,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,714) = 6

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

GCF(780,714) x common factors =6 x 1 = 6

LCM(780,714) = ( 780 × 714 ) / 6

LCM(780,714) = 556920 / 6

LCM(780,714) = 92820


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 3221/780, 7312/714

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 3221/780, 7312/714?

Answer: GCF of Numerators as per given numbers 3221/780, 7312/714 is

GCF of Numerators i.e. for 3221,7312 is 1

LCM of denominators i.e. for 780,714 is 92820.

Thus, GCF of Fractions is 1/92820.Finally, GCF of Fractions for 3221/780, 7312/714 is 1/92820.