How to Find GCF of 962/775, 7293/271?

GCF of 962/775, 7293/271

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 962/775, 7293/271 i.e 13/210025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/775, 7293/271.

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 962/775,7293/271?

Given fractions are 962/775,7293/271

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 962/775,7293/271, numerators are 962,7293

Denominators are 775,271

The GCF of 962,7293 is 13 .

LCM of 775,271 is 210025.

The greatest common factor of 962/775,7293/271 = [GCF of 962,7293]/[LCM of 775,271]= 13/210025

Therefore, the GCF of 962/775,7293/271 is 13/210025.

Greatest Common Factor of 962,7293

To find the highest common factor of 962,7293, we have to find the factors of both numbers and list the highest common factor.

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293

The HCF of 962,7293 is 13.

Lets's calculate GCF of 962,7293

Greatest Common Factor (GCF) of 962,7293 By Common Division

13	962, 7293
	74, 561

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

Greatest Common Factor of 962,7293 By Matching Biggest Common Factor Method

Now, list down the factors of 962

1,2,13,26,37,74,481,962

Now, list down the factors of 7293

1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293

Greatest Common Factor

We found the factors 962,7293 . The biggest common factor number is the GCF number.
So the greatest common factor 962,7293 is 13.

Lets's calculate LCM of 775,271

Lowest Common Multiple of 775,271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 210025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/210025

Therefore, the GCF of Fractions 962/775,7293/271 is 13/210025

Least Common Multiple of 775,271 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 775,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,271) = 1

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

GCF(775,271) x common factors =1 x 1 = 1

LCM(775,271) = ( 775 × 271 ) / 1

LCM(775,271) = 210025 / 1

LCM(775,271) = 210025

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FAQs on GCF of Fractions of 962/775, 7293/271

1. What is the HCF of 962,7293?

The HCF of 962,7293 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 962/775, 7293/271?

Answer: GCF of Numerators as per given numbers 962/775, 7293/271 is

GCF of Numerators i.e. for 962,7293 is 13

LCM of denominators i.e. for 775,271 is 210025.

Thus, GCF of Fractions is 13/210025.Finally, GCF of Fractions for 962/775, 7293/271 is 13/210025.