Greatest Common Factor of 2780/68, 3372/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2780/68, 3372/500

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 2780/68,3372/500

Given fractions are 2780/68,3372/500

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 2780,3372

Greatest Common Factor of Numerators i.e. GCF of 2780,3372 is 4 .

LCM of Denominators means LCM of 68,500 as per the given fractions.

LCM of 68,500 is 8500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2780,3372

GCF of Fractions 2780/68,3372/500 is 4/8500

2 2780, 3372
2 1390, 1686
695, 843

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2780,3372 By Matching Biggest Common Factor Method

Greatest Common Factor of 2780,3372 By Matching Biggest Common Factor Method

Factors of 2780

List of positive integer factors of 2780 that divides 2780 without a remainder.

1,2,4,5,10,20,139,278,556,695,1390,2780

Factors of 3372

List of positive integer factors of 3372 that divides 3372 without a remainder.

1,2,3,4,6,12,281,562,843,1124,1686,3372

Greatest Common Factor

We found the factors 2780,3372 . The biggest common factor number is the GCF number.
So the greatest common factor 2780,3372 is 4.

Lets's calculate LCM of 68,500

2 68, 500
2 34, 250
17, 125

∴ So the LCM of the given numbers is 2 x 2 x 17 x 125 = 8500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8500

Therefore, the GCF of Fractions 2780/68,3372/500 is 4/8500

Least Common Multiple of 68,500 with GCF Formula

Least Common Multiple of 68,500 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 68,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,500) = 4

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

GCF(68,500) x common factors =4 x 1 = 4

LCM(68,500) = ( 68 × 500 ) / 4

LCM(68,500) = 34000 / 4

LCM(68,500) = 8500


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 2780/68, 3372/500

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 2780/68, 3372/500?

Answer: GCF of Numerators as per given numbers 2780/68, 3372/500 is

GCF of Numerators i.e. for 2780,3372 is 4

LCM of denominators i.e. for 68,500 is 8500.

Thus, GCF of Fractions is 4/8500.Finally, GCF of Fractions for 2780/68, 3372/500 is 4/8500.