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GCF of 653/256, 444/287

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 653/256, 444/287 i.e 1/73472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/256, 444/287.

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 653/256,444/287?

Given fractions are 653/256,444/287

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 653/256,444/287, numerators are 653,444

Denominators are 256,287

The GCF of 653,444 is 1 .

LCM of 256,287 is 73472.

The greatest common factor of 653/256,444/287 = [GCF of 653,444]/[LCM of 256,287]= 1/73472

Therefore, the GCF of 653/256,444/287 is 1/73472.

Greatest Common Factor of 653,444

To find the highest common factor of 653,444, we have to find the factors of both numbers and list the highest common factor.

The factors of 653 are 1, 653

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

The HCF of 653,444 is 1.

Lets's calculate GCF of 653,444

Greatest Common Factor (GCF) of 653,444 By Common Division

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

Greatest Common Factor of 653,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,444 By Matching Biggest Common Factor Method

Now, list down the factors of 653

:

1,653

Now, list down the factors of 444

:

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 653,444 . The biggest common factor number is the GCF number.
So the greatest common factor 653,444 is 1.

Lets's calculate LCM of 256,287

Lowest Common Multiple of 256,287 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 73472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73472

Therefore, the GCF of Fractions 653/256,444/287 is 1/73472

Least Common Multiple of 256,287 with GCF Formula

Least Common Multiple of 256,287 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 256,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,287) = 1

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

GCF(256,287) x common factors =1 x 1 = 1

LCM(256,287) = ( 256 × 287 ) / 1

LCM(256,287) = 73472 / 1

LCM(256,287) = 73472


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FAQs on GCF of Fractions of 653/256, 444/287

1. What is the HCF of 653,444?

The HCF of 653,444 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 653/256, 444/287?

Answer: GCF of Numerators as per given numbers 653/256, 444/287 is

GCF of Numerators i.e. for 653,444 is 1

LCM of denominators i.e. for 256,287 is 73472.

Thus, GCF of Fractions is 1/73472.Finally, GCF of Fractions for 653/256, 444/287 is 1/73472.