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GCF of 647/98, 297/152

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 647/98, 297/152 i.e 1/7448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/98, 297/152.

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 647/98,297/152?

Given fractions are 647/98,297/152

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 647/98,297/152, numerators are 647,297

Denominators are 98,152

The GCF of 647,297 is 1 .

LCM of 98,152 is 7448.

The greatest common factor of 647/98,297/152 = [GCF of 647,297]/[LCM of 98,152]= 1/7448

Therefore, the GCF of 647/98,297/152 is 1/7448.

Greatest Common Factor of 647,297

To find the highest common factor of 647,297, we have to find the factors of both numbers and list the highest common factor.

The factors of 647 are 1, 647

The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297

The HCF of 647,297 is 1.

Lets's calculate GCF of 647,297

Greatest Common Factor (GCF) of 647,297 By Common Division

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

Greatest Common Factor of 647,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,297 By Matching Biggest Common Factor Method

Now, list down the factors of 647

:

1,647

Now, list down the factors of 297

:

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 647,297 . The biggest common factor number is the GCF number.
So the greatest common factor 647,297 is 1.

Lets's calculate LCM of 98,152

Lowest Common Multiple of 98,152 using Common Division

2 98, 152
49, 76

∴ So the LCM of the given numbers is 2 x 49 x 76 = 7448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7448

Therefore, the GCF of Fractions 647/98,297/152 is 1/7448

Least Common Multiple of 98,152 with GCF Formula

Least Common Multiple of 98,152 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 98,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,152) = 2

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

GCF(98,152) x common factors =2 x 1 = 2

LCM(98,152) = ( 98 × 152 ) / 2

LCM(98,152) = 14896 / 2

LCM(98,152) = 7448


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FAQs on GCF of Fractions of 647/98, 297/152

1. What is the HCF of 647,297?

The HCF of 647,297 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 647/98, 297/152?

Answer: GCF of Numerators as per given numbers 647/98, 297/152 is

GCF of Numerators i.e. for 647,297 is 1

LCM of denominators i.e. for 98,152 is 7448.

Thus, GCF of Fractions is 1/7448.Finally, GCF of Fractions for 647/98, 297/152 is 1/7448.