How to Find GCF of 631/38, 540/6116?

GCF of 631/38, 540/6116

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 631/38, 540/6116 i.e 1/116204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/38, 540/6116.

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 631/38,540/6116?

Given fractions are 631/38,540/6116

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 631/38,540/6116, numerators are 631,540

Denominators are 38,6116

The GCF of 631,540 is 1 .

LCM of 38,6116 is 116204.

The greatest common factor of 631/38,540/6116 = [GCF of 631,540]/[LCM of 38,6116]= 1/116204

Therefore, the GCF of 631/38,540/6116 is 1/116204.

Greatest Common Factor of 631,540

To find the highest common factor of 631,540, we have to find the factors of both numbers and list the highest common factor.

The factors of 631 are 1, 631

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

The HCF of 631,540 is 1.

Lets's calculate GCF of 631,540

Greatest Common Factor (GCF) of 631,540 By Common Division

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

Greatest Common Factor of 631,540 By Matching Biggest Common Factor Method

Now, list down the factors of 631

1,631

Now, list down the factors of 540

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 631,540 . The biggest common factor number is the GCF number.
So the greatest common factor 631,540 is 1.

Lets's calculate LCM of 38,6116

Lowest Common Multiple of 38,6116 using Common Division

2	38, 6116
	19, 3058

∴ So the LCM of the given numbers is 2 x 19 x 3058 = 116204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116204

Therefore, the GCF of Fractions 631/38,540/6116 is 1/116204

Least Common Multiple of 38,6116 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 38,6116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,6116) = 2

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

GCF(38,6116) x common factors =2 x 1 = 2

LCM(38,6116) = ( 38 × 6116 ) / 2

LCM(38,6116) = 232408 / 2

LCM(38,6116) = 116204

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FAQs on GCF of Fractions of 631/38, 540/6116

1. What is the HCF of 631,540?

The HCF of 631,540 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 631/38, 540/6116?

Answer: GCF of Numerators as per given numbers 631/38, 540/6116 is

GCF of Numerators i.e. for 631,540 is 1

LCM of denominators i.e. for 38,6116 is 116204.

Thus, GCF of Fractions is 1/116204.Finally, GCF of Fractions for 631/38, 540/6116 is 1/116204.