Greatest Common Factor of 506/67, 354/77, 100/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/67, 354/77, 100/642

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 506/67,354/77,100/642

Given fractions are 506/67,354/77,100/642

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 506,354,100

Greatest Common Factor of Numerators i.e. GCF of 506,354,100 is 2 .

LCM of Denominators means LCM of 67,77,642 as per the given fractions.

LCM of 67,77,642 is 3312078 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,354,100

GCF of Fractions 506/67,354/77,100/642 is 2/3312078

2 506, 354, 100
253, 177, 50

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

Greatest Common Factor of 506,354,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,354,100 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 506,354,100 . The biggest common factor number is the GCF number.
So the greatest common factor 506,354,100 is 2.

Lets's calculate LCM of 67,77,642

Given numbers has no common factors except 1. So, there LCM is their product i.e 3312078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3312078

Therefore, the GCF of Fractions 506/67,354/77,100/642 is 2/3312078

Least Common Multiple of 67,77,642 with GCF Formula

Least Common Multiple of 67,77,642 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 67,77,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,77,642) = 1

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

GCF(67,77,642) x common factors =1 x 1 = 1

LCM(67,77,642) = ( 67 × 77 × 642 ) / 1

LCM(67,77,642) = 3312078 / 1

LCM(67,77,642) = 3312078


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 506/67, 354/77, 100/642

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 506/67, 354/77, 100/642?

Answer: GCF of Numerators as per given numbers 506/67, 354/77, 100/642 is

GCF of Numerators i.e. for 506,354,100 is 2

LCM of denominators i.e. for 67,77,642 is 3312078.

Thus, GCF of Fractions is 2/3312078.Finally, GCF of Fractions for 506/67, 354/77, 100/642 is 2/3312078.