How to Find GCF of 639/42, 632/1331?

GCF of 639/42, 632/1331

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 639/42, 632/1331 i.e 1/55902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 639/42, 632/1331.

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 639/42,632/1331?

Given fractions are 639/42,632/1331

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 639/42,632/1331, numerators are 639,632

Denominators are 42,1331

The GCF of 639,632 is 1 .

LCM of 42,1331 is 55902.

The greatest common factor of 639/42,632/1331 = [GCF of 639,632]/[LCM of 42,1331]= 1/55902

Therefore, the GCF of 639/42,632/1331 is 1/55902.

Greatest Common Factor of 639,632

To find the highest common factor of 639,632, we have to find the factors of both numbers and list the highest common factor.

The factors of 639 are 1, 3, 9, 71, 213, 639

The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632

The HCF of 639,632 is 1.

Lets's calculate GCF of 639,632

Greatest Common Factor (GCF) of 639,632 By Common Division

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

Greatest Common Factor of 639,632 By Matching Biggest Common Factor Method

Now, list down the factors of 639

1,3,9,71,213,639

Now, list down the factors of 632

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 639,632 . The biggest common factor number is the GCF number.
So the greatest common factor 639,632 is 1.

Lets's calculate LCM of 42,1331

Lowest Common Multiple of 42,1331 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55902

Therefore, the GCF of Fractions 639/42,632/1331 is 1/55902

Least Common Multiple of 42,1331 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 42,1331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1331) = 1

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

GCF(42,1331) x common factors =1 x 1 = 1

LCM(42,1331) = ( 42 × 1331 ) / 1

LCM(42,1331) = 55902 / 1

LCM(42,1331) = 55902

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FAQs on GCF of Fractions of 639/42, 632/1331

1. What is the HCF of 639,632?

The HCF of 639,632 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 639/42, 632/1331?

Answer: GCF of Numerators as per given numbers 639/42, 632/1331 is

GCF of Numerators i.e. for 639,632 is 1

LCM of denominators i.e. for 42,1331 is 55902.

Thus, GCF of Fractions is 1/55902.Finally, GCF of Fractions for 639/42, 632/1331 is 1/55902.