How to Find GCF of 8967/268, 1181/4546?

GCF of 8967/268, 1181/4546

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 8967/268, 1181/4546 i.e 1/609164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8967/268, 1181/4546.

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 8967/268,1181/4546?

Given fractions are 8967/268,1181/4546

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 8967/268,1181/4546, numerators are 8967,1181

Denominators are 268,4546

The GCF of 8967,1181 is 1 .

LCM of 268,4546 is 609164.

The greatest common factor of 8967/268,1181/4546 = [GCF of 8967,1181]/[LCM of 268,4546]= 1/609164

Therefore, the GCF of 8967/268,1181/4546 is 1/609164.

Greatest Common Factor of 8967,1181

To find the highest common factor of 8967,1181, we have to find the factors of both numbers and list the highest common factor.

The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967

The factors of 1181 are 1, 1181

The HCF of 8967,1181 is 1.

Lets's calculate GCF of 8967,1181

Greatest Common Factor (GCF) of 8967,1181 By Common Division

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

Greatest Common Factor of 8967,1181 By Matching Biggest Common Factor Method

Now, list down the factors of 8967

1,3,7,21,49,61,147,183,427,1281,2989,8967

Now, list down the factors of 1181

1,1181

Greatest Common Factor

We found the factors 8967,1181 . The biggest common factor number is the GCF number.
So the greatest common factor 8967,1181 is 1.

Lets's calculate LCM of 268,4546

Lowest Common Multiple of 268,4546 using Common Division

2	268, 4546
	134, 2273

∴ So the LCM of the given numbers is 2 x 134 x 2273 = 609164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609164

Therefore, the GCF of Fractions 8967/268,1181/4546 is 1/609164

Least Common Multiple of 268,4546 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 268,4546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,4546) = 2

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

GCF(268,4546) x common factors =2 x 1 = 2

LCM(268,4546) = ( 268 × 4546 ) / 2

LCM(268,4546) = 1218328 / 2

LCM(268,4546) = 609164

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FAQs on GCF of Fractions of 8967/268, 1181/4546

1. What is the HCF of 8967,1181?

The HCF of 8967,1181 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 8967/268, 1181/4546?

Answer: GCF of Numerators as per given numbers 8967/268, 1181/4546 is

GCF of Numerators i.e. for 8967,1181 is 1

LCM of denominators i.e. for 268,4546 is 609164.

Thus, GCF of Fractions is 1/609164.Finally, GCF of Fractions for 8967/268, 1181/4546 is 1/609164.