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 751/976, 2121/304

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 751/976, 2121/304 i.e 1/18544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/976, 2121/304.

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 751/976,2121/304?

Given fractions are 751/976,2121/304

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 751/976,2121/304, numerators are 751,2121

Denominators are 976,304

The GCF of 751,2121 is 1 .

LCM of 976,304 is 18544.

The greatest common factor of 751/976,2121/304 = [GCF of 751,2121]/[LCM of 976,304]= 1/18544

Therefore, the GCF of 751/976,2121/304 is 1/18544.

Greatest Common Factor of 751,2121

To find the highest common factor of 751,2121, we have to find the factors of both numbers and list the highest common factor.

The factors of 751 are 1, 751

The factors of 2121 are 1, 3, 7, 21, 101, 303, 707, 2121

The HCF of 751,2121 is 1.

Lets's calculate GCF of 751,2121

Greatest Common Factor (GCF) of 751,2121 By Common Division

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

Greatest Common Factor of 751,2121 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,2121 By Matching Biggest Common Factor Method

Now, list down the factors of 751

:

1,751

Now, list down the factors of 2121

:

1,3,7,21,101,303,707,2121

Greatest Common Factor

We found the factors 751,2121 . The biggest common factor number is the GCF number.
So the greatest common factor 751,2121 is 1.

Lets's calculate LCM of 976,304

Lowest Common Multiple of 976,304 using Common Division

2 976, 304
2 488, 152
2 244, 76
2 122, 38
61, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 61 x 19 = 18544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18544

Therefore, the GCF of Fractions 751/976,2121/304 is 1/18544

Least Common Multiple of 976,304 with GCF Formula

Least Common Multiple of 976,304 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 976,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,304) = 16

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

GCF(976,304) x common factors =16 x 1 = 16

LCM(976,304) = ( 976 × 304 ) / 16

LCM(976,304) = 296704 / 16

LCM(976,304) = 18544


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 751/976, 2121/304

1. What is the HCF of 751,2121?

The HCF of 751,2121 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 751/976, 2121/304?

Answer: GCF of Numerators as per given numbers 751/976, 2121/304 is

GCF of Numerators i.e. for 751,2121 is 1

LCM of denominators i.e. for 976,304 is 18544.

Thus, GCF of Fractions is 1/18544.Finally, GCF of Fractions for 751/976, 2121/304 is 1/18544.