Greatest Common Factor of 840/73, 280/61, 653/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 840/73, 280/61, 653/51

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 840/73,280/61,653/51

Given fractions are 840/73,280/61,653/51

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 840,280,653

Greatest Common Factor of Numerators i.e. GCF of 840,280,653 is 1 .

LCM of Denominators means LCM of 73,61,51 as per the given fractions.

LCM of 73,61,51 is 227103 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 840,280,653

GCF of Fractions 840/73,280/61,653/51 is 1/227103

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

Greatest Common Factor of 840,280,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,280,653 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 840,280,653 . The biggest common factor number is the GCF number.
So the greatest common factor 840,280,653 is 1.

Lets's calculate LCM of 73,61,51

Given numbers has no common factors except 1. So, there LCM is their product i.e 227103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227103

Therefore, the GCF of Fractions 840/73,280/61,653/51 is 1/227103

Least Common Multiple of 73,61,51 with GCF Formula

Least Common Multiple of 73,61,51 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 73,61,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,61,51) = 1

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

GCF(73,61,51) x common factors =1 x 1 = 1

LCM(73,61,51) = ( 73 × 61 × 51 ) / 1

LCM(73,61,51) = 227103 / 1

LCM(73,61,51) = 227103


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 840/73, 280/61, 653/51

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 840/73, 280/61, 653/51?

Answer: GCF of Numerators as per given numbers 840/73, 280/61, 653/51 is

GCF of Numerators i.e. for 840,280,653 is 1

LCM of denominators i.e. for 73,61,51 is 227103.

Thus, GCF of Fractions is 1/227103.Finally, GCF of Fractions for 840/73, 280/61, 653/51 is 1/227103.