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 862/724, 391/653

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 862/724, 391/653 i.e 1/472772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/724, 391/653.

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 862/724,391/653?

Given fractions are 862/724,391/653

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 862/724,391/653, numerators are 862,391

Denominators are 724,653

The GCF of 862,391 is 1 .

LCM of 724,653 is 472772.

The greatest common factor of 862/724,391/653 = [GCF of 862,391]/[LCM of 724,653]= 1/472772

Therefore, the GCF of 862/724,391/653 is 1/472772.

Greatest Common Factor of 862,391

To find the highest common factor of 862,391, we have to find the factors of both numbers and list the highest common factor.

The factors of 862 are 1, 2, 431, 862

The factors of 391 are 1, 17, 23, 391

The HCF of 862,391 is 1.

Lets's calculate GCF of 862,391

Greatest Common Factor (GCF) of 862,391 By Common Division

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

Greatest Common Factor of 862,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,391 By Matching Biggest Common Factor Method

Now, list down the factors of 862

:

1,2,431,862

Now, list down the factors of 391

:

1,17,23,391

Greatest Common Factor

We found the factors 862,391 . The biggest common factor number is the GCF number.
So the greatest common factor 862,391 is 1.

Lets's calculate LCM of 724,653

Lowest Common Multiple of 724,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 472772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472772

Therefore, the GCF of Fractions 862/724,391/653 is 1/472772

Least Common Multiple of 724,653 with GCF Formula

Least Common Multiple of 724,653 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 724,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,653) = 1

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

GCF(724,653) x common factors =1 x 1 = 1

LCM(724,653) = ( 724 × 653 ) / 1

LCM(724,653) = 472772 / 1

LCM(724,653) = 472772


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 862/724, 391/653

1. What is the HCF of 862,391?

The HCF of 862,391 is 1

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 862/724, 391/653?

Answer: GCF of Numerators as per given numbers 862/724, 391/653 is

GCF of Numerators i.e. for 862,391 is 1

LCM of denominators i.e. for 724,653 is 472772.

Thus, GCF of Fractions is 1/472772.Finally, GCF of Fractions for 862/724, 391/653 is 1/472772.