How to Find GCF of 910/766, 8021/9494?

GCF of 910/766, 8021/9494

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 910/766, 8021/9494 i.e 13/3636202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/766, 8021/9494.

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 910/766,8021/9494?

Given fractions are 910/766,8021/9494

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 910/766,8021/9494, numerators are 910,8021

Denominators are 766,9494

The GCF of 910,8021 is 13 .

LCM of 766,9494 is 3636202.

The greatest common factor of 910/766,8021/9494 = [GCF of 910,8021]/[LCM of 766,9494]= 13/3636202

Therefore, the GCF of 910/766,8021/9494 is 13/3636202.

Greatest Common Factor of 910,8021

To find the highest common factor of 910,8021, we have to find the factors of both numbers and list the highest common factor.

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The factors of 8021 are 1, 13, 617, 8021

The HCF of 910,8021 is 13.

Lets's calculate GCF of 910,8021

Greatest Common Factor (GCF) of 910,8021 By Common Division

13	910, 8021
	70, 617

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 910,8021 By Matching Biggest Common Factor Method

Now, list down the factors of 910

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Now, list down the factors of 8021

1,13,617,8021

Greatest Common Factor

We found the factors 910,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 910,8021 is 13.

Lets's calculate LCM of 766,9494

Lowest Common Multiple of 766,9494 using Common Division

2	766, 9494
	383, 4747

∴ So the LCM of the given numbers is 2 x 383 x 4747 = 3636202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3636202

Therefore, the GCF of Fractions 910/766,8021/9494 is 13/3636202

Least Common Multiple of 766,9494 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 766,9494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,9494) = 2

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

GCF(766,9494) x common factors =2 x 1 = 2

LCM(766,9494) = ( 766 × 9494 ) / 2

LCM(766,9494) = 7272404 / 2

LCM(766,9494) = 3636202

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 910/766, 8021/9494

1. What is the HCF of 910,8021?

The HCF of 910,8021 is 13

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 910/766, 8021/9494?

Answer: GCF of Numerators as per given numbers 910/766, 8021/9494 is

GCF of Numerators i.e. for 910,8021 is 13

LCM of denominators i.e. for 766,9494 is 3636202.

Thus, GCF of Fractions is 13/3636202.Finally, GCF of Fractions for 910/766, 8021/9494 is 13/3636202.