How to Find GCF of 5271/788, 1021/3670?

GCF of 5271/788, 1021/3670

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 5271/788, 1021/3670 i.e 1/1445980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5271/788, 1021/3670.

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 5271/788,1021/3670?

Given fractions are 5271/788,1021/3670

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 5271/788,1021/3670, numerators are 5271,1021

Denominators are 788,3670

The GCF of 5271,1021 is 1 .

LCM of 788,3670 is 1445980.

The greatest common factor of 5271/788,1021/3670 = [GCF of 5271,1021]/[LCM of 788,3670]= 1/1445980

Therefore, the GCF of 5271/788,1021/3670 is 1/1445980.

Greatest Common Factor of 5271,1021

To find the highest common factor of 5271,1021, we have to find the factors of both numbers and list the highest common factor.

The factors of 5271 are 1, 3, 7, 21, 251, 753, 1757, 5271

The factors of 1021 are 1, 1021

The HCF of 5271,1021 is 1.

Lets's calculate GCF of 5271,1021

Greatest Common Factor (GCF) of 5271,1021 By Common Division

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

Greatest Common Factor of 5271,1021 By Matching Biggest Common Factor Method

Now, list down the factors of 5271

1,3,7,21,251,753,1757,5271

Now, list down the factors of 1021

1,1021

Greatest Common Factor

We found the factors 5271,1021 . The biggest common factor number is the GCF number.
So the greatest common factor 5271,1021 is 1.

Lets's calculate LCM of 788,3670

Lowest Common Multiple of 788,3670 using Common Division

2	788, 3670
	394, 1835

∴ So the LCM of the given numbers is 2 x 394 x 1835 = 1445980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1445980

Therefore, the GCF of Fractions 5271/788,1021/3670 is 1/1445980

Least Common Multiple of 788,3670 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 788,3670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,3670) = 2

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

GCF(788,3670) x common factors =2 x 1 = 2

LCM(788,3670) = ( 788 × 3670 ) / 2

LCM(788,3670) = 2891960 / 2

LCM(788,3670) = 1445980

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FAQs on GCF of Fractions of 5271/788, 1021/3670

1. What is the HCF of 5271,1021?

The HCF of 5271,1021 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 5271/788, 1021/3670?

Answer: GCF of Numerators as per given numbers 5271/788, 1021/3670 is

GCF of Numerators i.e. for 5271,1021 is 1

LCM of denominators i.e. for 788,3670 is 1445980.

Thus, GCF of Fractions is 1/1445980.Finally, GCF of Fractions for 5271/788, 1021/3670 is 1/1445980.