Greatest Common Factor of 780/683, 3484/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/683, 3484/660

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 780/683,3484/660

Given fractions are 780/683,3484/660

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 780,3484

Greatest Common Factor of Numerators i.e. GCF of 780,3484 is 52 .

LCM of Denominators means LCM of 683,660 as per the given fractions.

LCM of 683,660 is 450780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,3484

GCF of Fractions 780/683,3484/660 is 52/450780

2 780, 3484
2 390, 1742
13 195, 871
15, 67

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 780,3484 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,3484 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 3484

List of positive integer factors of 3484 that divides 3484 without a remainder.

1,2,4,13,26,52,67,134,268,871,1742,3484

Greatest Common Factor

We found the factors 780,3484 . The biggest common factor number is the GCF number.
So the greatest common factor 780,3484 is 52.

Lets's calculate LCM of 683,660

Given numbers has no common factors except 1. So, there LCM is their product i.e 450780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/450780

Therefore, the GCF of Fractions 780/683,3484/660 is 52/450780

Least Common Multiple of 683,660 with GCF Formula

Least Common Multiple of 683,660 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 683,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,660) = 1

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

GCF(683,660) x common factors =1 x 1 = 1

LCM(683,660) = ( 683 × 660 ) / 1

LCM(683,660) = 450780 / 1

LCM(683,660) = 450780


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 780/683, 3484/660

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 780/683, 3484/660?

Answer: GCF of Numerators as per given numbers 780/683, 3484/660 is

GCF of Numerators i.e. for 780,3484 is 52

LCM of denominators i.e. for 683,660 is 450780.

Thus, GCF of Fractions is 52/450780.Finally, GCF of Fractions for 780/683, 3484/660 is 52/450780.