How to Find GCF of 47/52, 31/40, 613/630?

GCF of 47/52, 31/40, 613/630

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 47/52, 31/40, 613/630 i.e 1/32760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/52, 31/40, 613/630.

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 47/52,31/40,613/630?

Given fractions are 47/52,31/40,613/630

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 47/52,31/40,613/630, numerators are 47,31,613

Denominators are 52,40,630

The GCF of 47,31,613 is 1 .

LCM of 52,40,630 is 32760.

The greatest common factor of 47/52,31/40,613/630 = [GCF of 47,31,613]/[LCM of 52,40,630]= 1/32760

Therefore, the GCF of 47/52,31/40,613/630 is 1/32760.

Greatest Common Factor of 47,31,613

To find the highest common factor of 47,31,613, we have to find the factors of both numbers and list the highest common factor.

The factors of 47 are 1, 47

The factors of 31 are 1, 31

The factors of 613 are 1, 613

The HCF of 47,31,613 is 1.

Lets's calculate GCF of 47,31,613

Greatest Common Factor (GCF) of 47,31,613 By Common Division

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

Greatest Common Factor of 47,31,613 By Matching Biggest Common Factor Method

Now, list down the factors of 47

1,47

Now, list down the factors of 31

1,31

Now, list down the factors of 613

1,613

Greatest Common Factor

We found the factors 47,31,613 . The biggest common factor number is the GCF number.
So the greatest common factor 47,31,613 is 1.

Lets's calculate LCM of 52,40,630

Lowest Common Multiple of 52,40,630 using Common Division

2	52, 40, 630
2	26, 20, 315
5	13, 10, 315
	13, 2, 63

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 2 x 63 = 32760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32760

Therefore, the GCF of Fractions 47/52,31/40,613/630 is 1/32760

Least Common Multiple of 52,40,630 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 52,40,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,40,630) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(52,40,630) x common factors =2 x 20 = 40

LCM(52,40,630) = ( 52 × 40 × 630 ) / 40

LCM(52,40,630) = 1310400 / 40

LCM(52,40,630) = 32760

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FAQs on GCF of Fractions of 47/52, 31/40, 613/630

1. What is the HCF of 47,31,613?

The HCF of 47,31,613 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 47/52, 31/40, 613/630?

Answer: GCF of Numerators as per given numbers 47/52, 31/40, 613/630 is

GCF of Numerators i.e. for 47,31,613 is 1

LCM of denominators i.e. for 52,40,630 is 32760.

Thus, GCF of Fractions is 1/32760.Finally, GCF of Fractions for 47/52, 31/40, 613/630 is 1/32760.