How to Find GCF of 8691/962, 7522/8255?

GCF of 8691/962, 7522/8255

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 8691/962, 7522/8255 i.e 1/610870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8691/962, 7522/8255.

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 8691/962,7522/8255?

Given fractions are 8691/962,7522/8255

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 8691/962,7522/8255, numerators are 8691,7522

Denominators are 962,8255

The GCF of 8691,7522 is 1 .

LCM of 962,8255 is 610870.

The greatest common factor of 8691/962,7522/8255 = [GCF of 8691,7522]/[LCM of 962,8255]= 1/610870

Therefore, the GCF of 8691/962,7522/8255 is 1/610870.

Greatest Common Factor of 8691,7522

To find the highest common factor of 8691,7522, we have to find the factors of both numbers and list the highest common factor.

The factors of 8691 are 1, 3, 2897, 8691

The factors of 7522 are 1, 2, 3761, 7522

The HCF of 8691,7522 is 1.

Lets's calculate GCF of 8691,7522

Greatest Common Factor (GCF) of 8691,7522 By Common Division

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

Greatest Common Factor of 8691,7522 By Matching Biggest Common Factor Method

Now, list down the factors of 8691

1,3,2897,8691

Now, list down the factors of 7522

1,2,3761,7522

Greatest Common Factor

We found the factors 8691,7522 . The biggest common factor number is the GCF number.
So the greatest common factor 8691,7522 is 1.

Lets's calculate LCM of 962,8255

Lowest Common Multiple of 962,8255 using Common Division

13	962, 8255
	74, 635

∴ So the LCM of the given numbers is 13 x 74 x 635 = 610870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610870

Therefore, the GCF of Fractions 8691/962,7522/8255 is 1/610870

Least Common Multiple of 962,8255 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 962,8255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,8255) = 13

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

GCF(962,8255) x common factors =13 x 1 = 13

LCM(962,8255) = ( 962 × 8255 ) / 13

LCM(962,8255) = 7941310 / 13

LCM(962,8255) = 610870

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8691/962, 7522/8255

1. What is the HCF of 8691,7522?

The HCF of 8691,7522 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 8691/962, 7522/8255?

Answer: GCF of Numerators as per given numbers 8691/962, 7522/8255 is

GCF of Numerators i.e. for 8691,7522 is 1

LCM of denominators i.e. for 962,8255 is 610870.

Thus, GCF of Fractions is 1/610870.Finally, GCF of Fractions for 8691/962, 7522/8255 is 1/610870.