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GCF of 1598/979, 8627/638

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 1598/979, 8627/638 i.e 1/56782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1598/979, 8627/638.

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 1598/979,8627/638?

Given fractions are 1598/979,8627/638

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 1598/979,8627/638, numerators are 1598,8627

Denominators are 979,638

The GCF of 1598,8627 is 1 .

LCM of 979,638 is 56782.

The greatest common factor of 1598/979,8627/638 = [GCF of 1598,8627]/[LCM of 979,638]= 1/56782

Therefore, the GCF of 1598/979,8627/638 is 1/56782.

Greatest Common Factor of 1598,8627

To find the highest common factor of 1598,8627, we have to find the factors of both numbers and list the highest common factor.

The factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598

The factors of 8627 are 1, 8627

The HCF of 1598,8627 is 1.

Lets's calculate GCF of 1598,8627

Greatest Common Factor (GCF) of 1598,8627 By Common Division

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

Greatest Common Factor of 1598,8627 By Matching Biggest Common Factor Method

Greatest Common Factor of 1598,8627 By Matching Biggest Common Factor Method

Now, list down the factors of 1598

:

1,2,17,34,47,94,799,1598

Now, list down the factors of 8627

:

1,8627

Greatest Common Factor

We found the factors 1598,8627 . The biggest common factor number is the GCF number.
So the greatest common factor 1598,8627 is 1.

Lets's calculate LCM of 979,638

Lowest Common Multiple of 979,638 using Common Division

11 979, 638
89, 58

∴ So the LCM of the given numbers is 11 x 89 x 58 = 56782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56782

Therefore, the GCF of Fractions 1598/979,8627/638 is 1/56782

Least Common Multiple of 979,638 with GCF Formula

Least Common Multiple of 979,638 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 979,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,638) = 11

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

GCF(979,638) x common factors =11 x 1 = 11

LCM(979,638) = ( 979 × 638 ) / 11

LCM(979,638) = 624602 / 11

LCM(979,638) = 56782


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1598/979, 8627/638

1. What is the HCF of 1598,8627?

The HCF of 1598,8627 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 1598/979, 8627/638?

Answer: GCF of Numerators as per given numbers 1598/979, 8627/638 is

GCF of Numerators i.e. for 1598,8627 is 1

LCM of denominators i.e. for 979,638 is 56782.

Thus, GCF of Fractions is 1/56782.Finally, GCF of Fractions for 1598/979, 8627/638 is 1/56782.