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GCF of 532/437, 298/659

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 532/437, 298/659 i.e 2/287983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/437, 298/659.

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 532/437,298/659?

Given fractions are 532/437,298/659

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 532/437,298/659, numerators are 532,298

Denominators are 437,659

The GCF of 532,298 is 2 .

LCM of 437,659 is 287983.

The greatest common factor of 532/437,298/659 = [GCF of 532,298]/[LCM of 437,659]= 2/287983

Therefore, the GCF of 532/437,298/659 is 2/287983.

Greatest Common Factor of 532,298

To find the highest common factor of 532,298, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The factors of 298 are 1, 2, 149, 298

The HCF of 532,298 is 2.

Lets's calculate GCF of 532,298

Greatest Common Factor (GCF) of 532,298 By Common Division

2 532, 298
266, 149

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 532,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,298 By Matching Biggest Common Factor Method

Now, list down the factors of 532

:

1,2,4,7,14,19,28,38,76,133,266,532

Now, list down the factors of 298

:

1,2,149,298

Greatest Common Factor

We found the factors 532,298 . The biggest common factor number is the GCF number.
So the greatest common factor 532,298 is 2.

Lets's calculate LCM of 437,659

Lowest Common Multiple of 437,659 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 287983

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/287983

Therefore, the GCF of Fractions 532/437,298/659 is 2/287983

Least Common Multiple of 437,659 with GCF Formula

Least Common Multiple of 437,659 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 437,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,659) = 1

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

GCF(437,659) x common factors =1 x 1 = 1

LCM(437,659) = ( 437 × 659 ) / 1

LCM(437,659) = 287983 / 1

LCM(437,659) = 287983


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FAQs on GCF of Fractions of 532/437, 298/659

1. What is the HCF of 532,298?

The HCF of 532,298 is 2

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 532/437, 298/659?

Answer: GCF of Numerators as per given numbers 532/437, 298/659 is

GCF of Numerators i.e. for 532,298 is 2

LCM of denominators i.e. for 437,659 is 287983.

Thus, GCF of Fractions is 2/287983.Finally, GCF of Fractions for 532/437, 298/659 is 2/287983.