Greatest Common Factor of 100/67, 773/10, 551/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 100/67, 773/10, 551/818

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 100/67,773/10,551/818

Given fractions are 100/67,773/10,551/818

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 100,773,551

Greatest Common Factor of Numerators i.e. GCF of 100,773,551 is 1 .

LCM of Denominators means LCM of 67,10,818 as per the given fractions.

LCM of 67,10,818 is 274030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,773,551

GCF of Fractions 100/67,773/10,551/818 is 1/274030

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

Greatest Common Factor of 100,773,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,773,551 By Matching Biggest Common Factor Method

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

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 100,773,551 . The biggest common factor number is the GCF number.
So the greatest common factor 100,773,551 is 1.


Lets's calculate LCM of 67,10,818

2 67, 10, 818
67, 5, 409

∴ So the LCM of the given numbers is 2 x 67 x 5 x 409 = 274030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274030

Therefore, the GCF of Fractions 100/67,773/10,551/818 is 1/274030

Least Common Multiple of 67,10,818 with GCF Formula

Least Common Multiple of 67,10,818 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 67,10,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,10,818) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(67,10,818) x common factors =1 x 2 = 2

LCM(67,10,818) = ( 67 × 10 × 818 ) / 2

LCM(67,10,818) = 548060 / 2

LCM(67,10,818) = 274030


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 100/67, 773/10, 551/818

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 100/67, 773/10, 551/818?

Answer: GCF of Numerators as per given numbers 100/67, 773/10, 551/818 is

GCF of Numerators i.e. for 100,773,551 is 1

LCM of denominators i.e. for 67,10,818 is 274030.

Thus, GCF of Fractions is 1/274030.Finally, GCF of Fractions for 100/67, 773/10, 551/818 is 1/274030.