How to Find GCF of 832/644, 257/468?

GCF of 832/644, 257/468

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 832/644, 257/468 i.e 1/75348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/644, 257/468.

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 832/644,257/468?

Given fractions are 832/644,257/468

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 832/644,257/468, numerators are 832,257

Denominators are 644,468

The GCF of 832,257 is 1 .

LCM of 644,468 is 75348.

The greatest common factor of 832/644,257/468 = [GCF of 832,257]/[LCM of 644,468]= 1/75348

Therefore, the GCF of 832/644,257/468 is 1/75348.

Greatest Common Factor of 832,257

To find the highest common factor of 832,257, we have to find the factors of both numbers and list the highest common factor.

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

The factors of 257 are 1, 257

The HCF of 832,257 is 1.

Lets's calculate GCF of 832,257

Greatest Common Factor (GCF) of 832,257 By Common Division

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

Greatest Common Factor of 832,257 By Matching Biggest Common Factor Method

Now, list down the factors of 832

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Now, list down the factors of 257

1,257

Greatest Common Factor

We found the factors 832,257 . The biggest common factor number is the GCF number.
So the greatest common factor 832,257 is 1.

Lets's calculate LCM of 644,468

Lowest Common Multiple of 644,468 using Common Division

2	644, 468
2	322, 234
	161, 117

∴ So the LCM of the given numbers is 2 x 2 x 161 x 117 = 75348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75348

Therefore, the GCF of Fractions 832/644,257/468 is 1/75348

Least Common Multiple of 644,468 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 644,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,468) = 4

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

GCF(644,468) x common factors =4 x 1 = 4

LCM(644,468) = ( 644 × 468 ) / 4

LCM(644,468) = 301392 / 4

LCM(644,468) = 75348

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FAQs on GCF of Fractions of 832/644, 257/468

1. What is the HCF of 832,257?

The HCF of 832,257 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 832/644, 257/468?

Answer: GCF of Numerators as per given numbers 832/644, 257/468 is

GCF of Numerators i.e. for 832,257 is 1

LCM of denominators i.e. for 644,468 is 75348.

Thus, GCF of Fractions is 1/75348.Finally, GCF of Fractions for 832/644, 257/468 is 1/75348.