How to Find GCF of 432/766, 2131/754?

GCF of 432/766, 2131/754

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 432/766, 2131/754 i.e 1/288782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 432/766, 2131/754.

Enter two or more fractions separated by "commas"

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

What is the GCF of 432/766,2131/754?

Given fractions are 432/766,2131/754

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 432/766,2131/754, numerators are 432,2131

Denominators are 766,754

The GCF of 432,2131 is 1 .

LCM of 766,754 is 288782.

The greatest common factor of 432/766,2131/754 = [GCF of 432,2131]/[LCM of 766,754]= 1/288782

Therefore, the GCF of 432/766,2131/754 is 1/288782.

Greatest Common Factor of 432,2131

To find the highest common factor of 432,2131, we have to find the factors of both numbers and list the highest common factor.

The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

The factors of 2131 are 1, 2131

The HCF of 432,2131 is 1.

Lets's calculate GCF of 432,2131

Greatest Common Factor (GCF) of 432,2131 By Common Division

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

Greatest Common Factor of 432,2131 By Matching Biggest Common Factor Method

Now, list down the factors of 432

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Now, list down the factors of 2131

1,2131

Greatest Common Factor

We found the factors 432,2131 . The biggest common factor number is the GCF number.
So the greatest common factor 432,2131 is 1.

Lets's calculate LCM of 766,754

Lowest Common Multiple of 766,754 using Common Division

2	766, 754
	383, 377

∴ So the LCM of the given numbers is 2 x 383 x 377 = 288782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288782

Therefore, the GCF of Fractions 432/766,2131/754 is 1/288782

Least Common Multiple of 766,754 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 766,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,754) = 2

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

GCF(766,754) x common factors =2 x 1 = 2

LCM(766,754) = ( 766 × 754 ) / 2

LCM(766,754) = 577564 / 2

LCM(766,754) = 288782

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FAQs on GCF of Fractions of 432/766, 2131/754

1. What is the HCF of 432,2131?

The HCF of 432,2131 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 432/766, 2131/754?

Answer: GCF of Numerators as per given numbers 432/766, 2131/754 is

GCF of Numerators i.e. for 432,2131 is 1

LCM of denominators i.e. for 766,754 is 288782.

Thus, GCF of Fractions is 1/288782.Finally, GCF of Fractions for 432/766, 2131/754 is 1/288782.