How to Find GCF of 82/635, 7944/7638?

GCF of 82/635, 7944/7638

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 82/635, 7944/7638 i.e 2/4850130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/635, 7944/7638.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 82/635,7944/7638?

Given fractions are 82/635,7944/7638

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 82/635,7944/7638, numerators are 82,7944

Denominators are 635,7638

The GCF of 82,7944 is 2 .

LCM of 635,7638 is 4850130.

The greatest common factor of 82/635,7944/7638 = [GCF of 82,7944]/[LCM of 635,7638]= 2/4850130

Therefore, the GCF of 82/635,7944/7638 is 2/4850130.

Greatest Common Factor of 82,7944

To find the highest common factor of 82,7944, we have to find the factors of both numbers and list the highest common factor.

The factors of 82 are 1, 2, 41, 82

The factors of 7944 are 1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944

The HCF of 82,7944 is 2.

Lets's calculate GCF of 82,7944

Greatest Common Factor (GCF) of 82,7944 By Common Division

2	82, 7944
	41, 3972

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

Greatest Common Factor of 82,7944 By Matching Biggest Common Factor Method

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 7944

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

Greatest Common Factor

We found the factors 82,7944 . The biggest common factor number is the GCF number.
So the greatest common factor 82,7944 is 2.

Lets's calculate LCM of 635,7638

Lowest Common Multiple of 635,7638 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4850130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4850130

Therefore, the GCF of Fractions 82/635,7944/7638 is 2/4850130

Least Common Multiple of 635,7638 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 635,7638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,7638) = 1

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

GCF(635,7638) x common factors =1 x 1 = 1

LCM(635,7638) = ( 635 × 7638 ) / 1

LCM(635,7638) = 4850130 / 1

LCM(635,7638) = 4850130

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FAQs on GCF of Fractions of 82/635, 7944/7638

1. What is the HCF of 82,7944?

The HCF of 82,7944 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 82/635, 7944/7638?

Answer: GCF of Numerators as per given numbers 82/635, 7944/7638 is

GCF of Numerators i.e. for 82,7944 is 2

LCM of denominators i.e. for 635,7638 is 4850130.

Thus, GCF of Fractions is 2/4850130.Finally, GCF of Fractions for 82/635, 7944/7638 is 2/4850130.