How to Find GCF of 8674/397, 7132/1131?

GCF of 8674/397, 7132/1131

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 8674/397, 7132/1131 i.e 2/449007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8674/397, 7132/1131.

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 8674/397,7132/1131?

Given fractions are 8674/397,7132/1131

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 8674/397,7132/1131, numerators are 8674,7132

Denominators are 397,1131

The GCF of 8674,7132 is 2 .

LCM of 397,1131 is 449007.

The greatest common factor of 8674/397,7132/1131 = [GCF of 8674,7132]/[LCM of 397,1131]= 2/449007

Therefore, the GCF of 8674/397,7132/1131 is 2/449007.

Greatest Common Factor of 8674,7132

To find the highest common factor of 8674,7132, we have to find the factors of both numbers and list the highest common factor.

The factors of 8674 are 1, 2, 4337, 8674

The factors of 7132 are 1, 2, 4, 1783, 3566, 7132

The HCF of 8674,7132 is 2.

Lets's calculate GCF of 8674,7132

Greatest Common Factor (GCF) of 8674,7132 By Common Division

2	8674, 7132
	4337, 3566

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8674,7132 By Matching Biggest Common Factor Method

Now, list down the factors of 8674

1,2,4337,8674

Now, list down the factors of 7132

1,2,4,1783,3566,7132

Greatest Common Factor

We found the factors 8674,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 8674,7132 is 2.

Lets's calculate LCM of 397,1131

Lowest Common Multiple of 397,1131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 449007

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/449007

Therefore, the GCF of Fractions 8674/397,7132/1131 is 2/449007

Least Common Multiple of 397,1131 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 397,1131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,1131) = 1

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

GCF(397,1131) x common factors =1 x 1 = 1

LCM(397,1131) = ( 397 × 1131 ) / 1

LCM(397,1131) = 449007 / 1

LCM(397,1131) = 449007

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FAQs on GCF of Fractions of 8674/397, 7132/1131

1. What is the HCF of 8674,7132?

The HCF of 8674,7132 is 2

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 8674/397, 7132/1131?

Answer: GCF of Numerators as per given numbers 8674/397, 7132/1131 is

GCF of Numerators i.e. for 8674,7132 is 2

LCM of denominators i.e. for 397,1131 is 449007.

Thus, GCF of Fractions is 2/449007.Finally, GCF of Fractions for 8674/397, 7132/1131 is 2/449007.