How to Find GCF of 9354/154, 6871/4532?

GCF of 9354/154, 6871/4532

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 9354/154, 6871/4532 i.e 1/31724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9354/154, 6871/4532.

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 9354/154,6871/4532?

Given fractions are 9354/154,6871/4532

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 9354/154,6871/4532, numerators are 9354,6871

Denominators are 154,4532

The GCF of 9354,6871 is 1 .

LCM of 154,4532 is 31724.

The greatest common factor of 9354/154,6871/4532 = [GCF of 9354,6871]/[LCM of 154,4532]= 1/31724

Therefore, the GCF of 9354/154,6871/4532 is 1/31724.

Greatest Common Factor of 9354,6871

To find the highest common factor of 9354,6871, we have to find the factors of both numbers and list the highest common factor.

The factors of 9354 are 1, 2, 3, 6, 1559, 3118, 4677, 9354

The factors of 6871 are 1, 6871

The HCF of 9354,6871 is 1.

Lets's calculate GCF of 9354,6871

Greatest Common Factor (GCF) of 9354,6871 By Common Division

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

Greatest Common Factor of 9354,6871 By Matching Biggest Common Factor Method

Now, list down the factors of 9354

1,2,3,6,1559,3118,4677,9354

Now, list down the factors of 6871

1,6871

Greatest Common Factor

We found the factors 9354,6871 . The biggest common factor number is the GCF number.
So the greatest common factor 9354,6871 is 1.

Lets's calculate LCM of 154,4532

Lowest Common Multiple of 154,4532 using Common Division

2	154, 4532
11	77, 2266
	7, 206

∴ So the LCM of the given numbers is 2 x 11 x 7 x 206 = 31724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31724

Therefore, the GCF of Fractions 9354/154,6871/4532 is 1/31724

Least Common Multiple of 154,4532 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 154,4532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,4532) = 22

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

GCF(154,4532) x common factors =22 x 1 = 22

LCM(154,4532) = ( 154 × 4532 ) / 22

LCM(154,4532) = 697928 / 22

LCM(154,4532) = 31724

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FAQs on GCF of Fractions of 9354/154, 6871/4532

1. What is the HCF of 9354,6871?

The HCF of 9354,6871 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 9354/154, 6871/4532?

Answer: GCF of Numerators as per given numbers 9354/154, 6871/4532 is

GCF of Numerators i.e. for 9354,6871 is 1

LCM of denominators i.e. for 154,4532 is 31724.

Thus, GCF of Fractions is 1/31724.Finally, GCF of Fractions for 9354/154, 6871/4532 is 1/31724.