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GCF of 298/268, 619/529

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 298/268, 619/529 i.e 1/141772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 298/268, 619/529.

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 298/268,619/529?

Given fractions are 298/268,619/529

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 298/268,619/529, numerators are 298,619

Denominators are 268,529

The GCF of 298,619 is 1 .

LCM of 268,529 is 141772.

The greatest common factor of 298/268,619/529 = [GCF of 298,619]/[LCM of 268,529]= 1/141772

Therefore, the GCF of 298/268,619/529 is 1/141772.

Greatest Common Factor of 298,619

To find the highest common factor of 298,619, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 619 are 1, 619

The HCF of 298,619 is 1.

Lets's calculate GCF of 298,619

Greatest Common Factor (GCF) of 298,619 By Common Division

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

Greatest Common Factor of 298,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,619 By Matching Biggest Common Factor Method

Now, list down the factors of 298

:

1,2,149,298

Now, list down the factors of 619

:

1,619

Greatest Common Factor

We found the factors 298,619 . The biggest common factor number is the GCF number.
So the greatest common factor 298,619 is 1.

Lets's calculate LCM of 268,529

Lowest Common Multiple of 268,529 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 141772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141772

Therefore, the GCF of Fractions 298/268,619/529 is 1/141772

Least Common Multiple of 268,529 with GCF Formula

Least Common Multiple of 268,529 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 268,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,529) = 1

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

GCF(268,529) x common factors =1 x 1 = 1

LCM(268,529) = ( 268 × 529 ) / 1

LCM(268,529) = 141772 / 1

LCM(268,529) = 141772


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FAQs on GCF of Fractions of 298/268, 619/529

1. What is the HCF of 298,619?

The HCF of 298,619 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 298/268, 619/529?

Answer: GCF of Numerators as per given numbers 298/268, 619/529 is

GCF of Numerators i.e. for 298,619 is 1

LCM of denominators i.e. for 268,529 is 141772.

Thus, GCF of Fractions is 1/141772.Finally, GCF of Fractions for 298/268, 619/529 is 1/141772.