LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 100/722, 2715/966

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 100/722, 2715/966 i.e 5/348726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 100/722, 2715/966.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 100/722,2715/966?

Given fractions are 100/722,2715/966

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 100/722,2715/966, numerators are 100,2715

Denominators are 722,966

The GCF of 100,2715 is 5 .

LCM of 722,966 is 348726.

The greatest common factor of 100/722,2715/966 = [GCF of 100,2715]/[LCM of 722,966]= 5/348726

Therefore, the GCF of 100/722,2715/966 is 5/348726.

Greatest Common Factor of 100,2715

To find the highest common factor of 100,2715, we have to find the factors of both numbers and list the highest common factor.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715

The HCF of 100,2715 is 5.

Lets's calculate GCF of 100,2715

Greatest Common Factor (GCF) of 100,2715 By Common Division

5 100, 2715
20, 543

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 100,2715 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,2715 By Matching Biggest Common Factor Method

Now, list down the factors of 100

:

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

Now, list down the factors of 2715

:

1,3,5,15,181,543,905,2715

Greatest Common Factor

We found the factors 100,2715 . The biggest common factor number is the GCF number.
So the greatest common factor 100,2715 is 5.

Lets's calculate LCM of 722,966

Lowest Common Multiple of 722,966 using Common Division

2 722, 966
361, 483

∴ So the LCM of the given numbers is 2 x 361 x 483 = 348726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/348726

Therefore, the GCF of Fractions 100/722,2715/966 is 5/348726

Least Common Multiple of 722,966 with GCF Formula

Least Common Multiple of 722,966 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 722,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,966) = 2

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

GCF(722,966) x common factors =2 x 1 = 2

LCM(722,966) = ( 722 × 966 ) / 2

LCM(722,966) = 697452 / 2

LCM(722,966) = 348726


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 100/722, 2715/966

1. What is the HCF of 100,2715?

The HCF of 100,2715 is 5

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 100/722, 2715/966?

Answer: GCF of Numerators as per given numbers 100/722, 2715/966 is

GCF of Numerators i.e. for 100,2715 is 5

LCM of denominators i.e. for 722,966 is 348726.

Thus, GCF of Fractions is 5/348726.Finally, GCF of Fractions for 100/722, 2715/966 is 5/348726.