How to Find GCF of 8825/296, 6722/9165?

GCF of 8825/296, 6722/9165

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 8825/296, 6722/9165 i.e 1/2712840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8825/296, 6722/9165.

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 8825/296,6722/9165?

Given fractions are 8825/296,6722/9165

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 8825/296,6722/9165, numerators are 8825,6722

Denominators are 296,9165

The GCF of 8825,6722 is 1 .

LCM of 296,9165 is 2712840.

The greatest common factor of 8825/296,6722/9165 = [GCF of 8825,6722]/[LCM of 296,9165]= 1/2712840

Therefore, the GCF of 8825/296,6722/9165 is 1/2712840.

Greatest Common Factor of 8825,6722

To find the highest common factor of 8825,6722, we have to find the factors of both numbers and list the highest common factor.

The factors of 8825 are 1, 5, 25, 353, 1765, 8825

The factors of 6722 are 1, 2, 3361, 6722

The HCF of 8825,6722 is 1.

Lets's calculate GCF of 8825,6722

Greatest Common Factor (GCF) of 8825,6722 By Common Division

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

Greatest Common Factor of 8825,6722 By Matching Biggest Common Factor Method

Now, list down the factors of 8825

1,5,25,353,1765,8825

Now, list down the factors of 6722

1,2,3361,6722

Greatest Common Factor

We found the factors 8825,6722 . The biggest common factor number is the GCF number.
So the greatest common factor 8825,6722 is 1.

Lets's calculate LCM of 296,9165

Lowest Common Multiple of 296,9165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2712840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2712840

Therefore, the GCF of Fractions 8825/296,6722/9165 is 1/2712840

Least Common Multiple of 296,9165 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 296,9165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,9165) = 1

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

GCF(296,9165) x common factors =1 x 1 = 1

LCM(296,9165) = ( 296 × 9165 ) / 1

LCM(296,9165) = 2712840 / 1

LCM(296,9165) = 2712840

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FAQs on GCF of Fractions of 8825/296, 6722/9165

1. What is the HCF of 8825,6722?

The HCF of 8825,6722 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 8825/296, 6722/9165?

Answer: GCF of Numerators as per given numbers 8825/296, 6722/9165 is

GCF of Numerators i.e. for 8825,6722 is 1

LCM of denominators i.e. for 296,9165 is 2712840.

Thus, GCF of Fractions is 1/2712840.Finally, GCF of Fractions for 8825/296, 6722/9165 is 1/2712840.