How to Find GCF of 9547/608, 3154/8034?

GCF of 9547/608, 3154/8034

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 9547/608, 3154/8034 i.e 1/2442336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9547/608, 3154/8034.

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 9547/608,3154/8034?

Given fractions are 9547/608,3154/8034

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 9547/608,3154/8034, numerators are 9547,3154

Denominators are 608,8034

The GCF of 9547,3154 is 1 .

LCM of 608,8034 is 2442336.

The greatest common factor of 9547/608,3154/8034 = [GCF of 9547,3154]/[LCM of 608,8034]= 1/2442336

Therefore, the GCF of 9547/608,3154/8034 is 1/2442336.

Greatest Common Factor of 9547,3154

To find the highest common factor of 9547,3154, we have to find the factors of both numbers and list the highest common factor.

The factors of 9547 are 1, 9547

The factors of 3154 are 1, 2, 19, 38, 83, 166, 1577, 3154

The HCF of 9547,3154 is 1.

Lets's calculate GCF of 9547,3154

Greatest Common Factor (GCF) of 9547,3154 By Common Division

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

Greatest Common Factor of 9547,3154 By Matching Biggest Common Factor Method

Now, list down the factors of 9547

1,9547

Now, list down the factors of 3154

1,2,19,38,83,166,1577,3154

Greatest Common Factor

We found the factors 9547,3154 . The biggest common factor number is the GCF number.
So the greatest common factor 9547,3154 is 1.

Lets's calculate LCM of 608,8034

Lowest Common Multiple of 608,8034 using Common Division

2	608, 8034
	304, 4017

∴ So the LCM of the given numbers is 2 x 304 x 4017 = 2442336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2442336

Therefore, the GCF of Fractions 9547/608,3154/8034 is 1/2442336

Least Common Multiple of 608,8034 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 608,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,8034) = 2

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

GCF(608,8034) x common factors =2 x 1 = 2

LCM(608,8034) = ( 608 × 8034 ) / 2

LCM(608,8034) = 4884672 / 2

LCM(608,8034) = 2442336

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FAQs on GCF of Fractions of 9547/608, 3154/8034

1. What is the HCF of 9547,3154?

The HCF of 9547,3154 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 9547/608, 3154/8034?

Answer: GCF of Numerators as per given numbers 9547/608, 3154/8034 is

GCF of Numerators i.e. for 9547,3154 is 1

LCM of denominators i.e. for 608,8034 is 2442336.

Thus, GCF of Fractions is 1/2442336.Finally, GCF of Fractions for 9547/608, 3154/8034 is 1/2442336.