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 621/940, 971/854

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 621/940, 971/854 i.e 1/401380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/940, 971/854.

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 621/940,971/854?

Given fractions are 621/940,971/854

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 621/940,971/854, numerators are 621,971

Denominators are 940,854

The GCF of 621,971 is 1 .

LCM of 940,854 is 401380.

The greatest common factor of 621/940,971/854 = [GCF of 621,971]/[LCM of 940,854]= 1/401380

Therefore, the GCF of 621/940,971/854 is 1/401380.

Greatest Common Factor of 621,971

To find the highest common factor of 621,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621

The factors of 971 are 1, 971

The HCF of 621,971 is 1.

Lets's calculate GCF of 621,971

Greatest Common Factor (GCF) of 621,971 By Common Division

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

Greatest Common Factor of 621,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,971 By Matching Biggest Common Factor Method

Now, list down the factors of 621

:

1,3,9,23,27,69,207,621

Now, list down the factors of 971

:

1,971

Greatest Common Factor

We found the factors 621,971 . The biggest common factor number is the GCF number.
So the greatest common factor 621,971 is 1.

Lets's calculate LCM of 940,854

Lowest Common Multiple of 940,854 using Common Division

2 940, 854
470, 427

∴ So the LCM of the given numbers is 2 x 470 x 427 = 401380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401380

Therefore, the GCF of Fractions 621/940,971/854 is 1/401380

Least Common Multiple of 940,854 with GCF Formula

Least Common Multiple of 940,854 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 940,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,854) = 2

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

GCF(940,854) x common factors =2 x 1 = 2

LCM(940,854) = ( 940 × 854 ) / 2

LCM(940,854) = 802760 / 2

LCM(940,854) = 401380


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 621/940, 971/854

1. What is the HCF of 621,971?

The HCF of 621,971 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 621/940, 971/854?

Answer: GCF of Numerators as per given numbers 621/940, 971/854 is

GCF of Numerators i.e. for 621,971 is 1

LCM of denominators i.e. for 940,854 is 401380.

Thus, GCF of Fractions is 1/401380.Finally, GCF of Fractions for 621/940, 971/854 is 1/401380.