How to Find GCF of 9147/656, 3826/429?

GCF of 9147/656, 3826/429

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 9147/656, 3826/429 i.e 1/281424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9147/656, 3826/429.

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 9147/656,3826/429?

Given fractions are 9147/656,3826/429

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 9147/656,3826/429, numerators are 9147,3826

Denominators are 656,429

The GCF of 9147,3826 is 1 .

LCM of 656,429 is 281424.

The greatest common factor of 9147/656,3826/429 = [GCF of 9147,3826]/[LCM of 656,429]= 1/281424

Therefore, the GCF of 9147/656,3826/429 is 1/281424.

Greatest Common Factor of 9147,3826

To find the highest common factor of 9147,3826, we have to find the factors of both numbers and list the highest common factor.

The factors of 9147 are 1, 3, 3049, 9147

The factors of 3826 are 1, 2, 1913, 3826

The HCF of 9147,3826 is 1.

Lets's calculate GCF of 9147,3826

Greatest Common Factor (GCF) of 9147,3826 By Common Division

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

Greatest Common Factor of 9147,3826 By Matching Biggest Common Factor Method

Now, list down the factors of 9147

1,3,3049,9147

Now, list down the factors of 3826

1,2,1913,3826

Greatest Common Factor

We found the factors 9147,3826 . The biggest common factor number is the GCF number.
So the greatest common factor 9147,3826 is 1.

Lets's calculate LCM of 656,429

Lowest Common Multiple of 656,429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 281424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281424

Therefore, the GCF of Fractions 9147/656,3826/429 is 1/281424

Least Common Multiple of 656,429 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 656,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,429) = 1

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

GCF(656,429) x common factors =1 x 1 = 1

LCM(656,429) = ( 656 × 429 ) / 1

LCM(656,429) = 281424 / 1

LCM(656,429) = 281424

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FAQs on GCF of Fractions of 9147/656, 3826/429

1. What is the HCF of 9147,3826?

The HCF of 9147,3826 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 9147/656, 3826/429?

Answer: GCF of Numerators as per given numbers 9147/656, 3826/429 is

GCF of Numerators i.e. for 9147,3826 is 1

LCM of denominators i.e. for 656,429 is 281424.

Thus, GCF of Fractions is 1/281424.Finally, GCF of Fractions for 9147/656, 3826/429 is 1/281424.