How to Find GCF of 9217/237, 2925/2656?

GCF of 9217/237, 2925/2656

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 9217/237, 2925/2656 i.e 13/629472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9217/237, 2925/2656.

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 9217/237,2925/2656?

Given fractions are 9217/237,2925/2656

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 9217/237,2925/2656, numerators are 9217,2925

Denominators are 237,2656

The GCF of 9217,2925 is 13 .

LCM of 237,2656 is 629472.

The greatest common factor of 9217/237,2925/2656 = [GCF of 9217,2925]/[LCM of 237,2656]= 13/629472

Therefore, the GCF of 9217/237,2925/2656 is 13/629472.

Greatest Common Factor of 9217,2925

To find the highest common factor of 9217,2925, we have to find the factors of both numbers and list the highest common factor.

The factors of 9217 are 1, 13, 709, 9217

The factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925

The HCF of 9217,2925 is 13.

Lets's calculate GCF of 9217,2925

Greatest Common Factor (GCF) of 9217,2925 By Common Division

13	9217, 2925
	709, 225

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

Greatest Common Factor of 9217,2925 By Matching Biggest Common Factor Method

Now, list down the factors of 9217

1,13,709,9217

Now, list down the factors of 2925

1,3,5,9,13,15,25,39,45,65,75,117,195,225,325,585,975,2925

Greatest Common Factor

We found the factors 9217,2925 . The biggest common factor number is the GCF number.
So the greatest common factor 9217,2925 is 13.

Lets's calculate LCM of 237,2656

Lowest Common Multiple of 237,2656 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 629472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/629472

Therefore, the GCF of Fractions 9217/237,2925/2656 is 13/629472

Least Common Multiple of 237,2656 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 237,2656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,2656) = 1

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

GCF(237,2656) x common factors =1 x 1 = 1

LCM(237,2656) = ( 237 × 2656 ) / 1

LCM(237,2656) = 629472 / 1

LCM(237,2656) = 629472

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FAQs on GCF of Fractions of 9217/237, 2925/2656

1. What is the HCF of 9217,2925?

The HCF of 9217,2925 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 9217/237, 2925/2656?

Answer: GCF of Numerators as per given numbers 9217/237, 2925/2656 is

GCF of Numerators i.e. for 9217,2925 is 13

LCM of denominators i.e. for 237,2656 is 629472.

Thus, GCF of Fractions is 13/629472.Finally, GCF of Fractions for 9217/237, 2925/2656 is 13/629472.