How to Find GCF of 1021/760, 2647/6273?

GCF of 1021/760, 2647/6273

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 1021/760, 2647/6273 i.e 1/4767480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1021/760, 2647/6273.

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 1021/760,2647/6273?

Given fractions are 1021/760,2647/6273

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 1021/760,2647/6273, numerators are 1021,2647

Denominators are 760,6273

The GCF of 1021,2647 is 1 .

LCM of 760,6273 is 4767480.

The greatest common factor of 1021/760,2647/6273 = [GCF of 1021,2647]/[LCM of 760,6273]= 1/4767480

Therefore, the GCF of 1021/760,2647/6273 is 1/4767480.

Greatest Common Factor of 1021,2647

To find the highest common factor of 1021,2647, we have to find the factors of both numbers and list the highest common factor.

The factors of 1021 are 1, 1021

The factors of 2647 are 1, 2647

The HCF of 1021,2647 is 1.

Lets's calculate GCF of 1021,2647

Greatest Common Factor (GCF) of 1021,2647 By Common Division

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

Greatest Common Factor of 1021,2647 By Matching Biggest Common Factor Method

Now, list down the factors of 1021

1,1021

Now, list down the factors of 2647

1,2647

Greatest Common Factor

We found the factors 1021,2647 . The biggest common factor number is the GCF number.
So the greatest common factor 1021,2647 is 1.

Lets's calculate LCM of 760,6273

Lowest Common Multiple of 760,6273 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4767480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4767480

Therefore, the GCF of Fractions 1021/760,2647/6273 is 1/4767480

Least Common Multiple of 760,6273 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 760,6273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,6273) = 1

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

GCF(760,6273) x common factors =1 x 1 = 1

LCM(760,6273) = ( 760 × 6273 ) / 1

LCM(760,6273) = 4767480 / 1

LCM(760,6273) = 4767480

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FAQs on GCF of Fractions of 1021/760, 2647/6273

1. What is the HCF of 1021,2647?

The HCF of 1021,2647 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 1021/760, 2647/6273?

Answer: GCF of Numerators as per given numbers 1021/760, 2647/6273 is

GCF of Numerators i.e. for 1021,2647 is 1

LCM of denominators i.e. for 760,6273 is 4767480.

Thus, GCF of Fractions is 1/4767480.Finally, GCF of Fractions for 1021/760, 2647/6273 is 1/4767480.