How to Find GCF of 532/666, 3867/2312?

GCF of 532/666, 3867/2312

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 532/666, 3867/2312 i.e 1/769896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/666, 3867/2312.

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 532/666,3867/2312?

Given fractions are 532/666,3867/2312

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 532/666,3867/2312, numerators are 532,3867

Denominators are 666,2312

The GCF of 532,3867 is 1 .

LCM of 666,2312 is 769896.

The greatest common factor of 532/666,3867/2312 = [GCF of 532,3867]/[LCM of 666,2312]= 1/769896

Therefore, the GCF of 532/666,3867/2312 is 1/769896.

Greatest Common Factor of 532,3867

To find the highest common factor of 532,3867, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The factors of 3867 are 1, 3, 1289, 3867

The HCF of 532,3867 is 1.

Lets's calculate GCF of 532,3867

Greatest Common Factor (GCF) of 532,3867 By Common Division

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

Greatest Common Factor of 532,3867 By Matching Biggest Common Factor Method

Now, list down the factors of 532

1,2,4,7,14,19,28,38,76,133,266,532

Now, list down the factors of 3867

1,3,1289,3867

Greatest Common Factor

We found the factors 532,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 532,3867 is 1.

Lets's calculate LCM of 666,2312

Lowest Common Multiple of 666,2312 using Common Division

2	666, 2312
	333, 1156

∴ So the LCM of the given numbers is 2 x 333 x 1156 = 769896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/769896

Therefore, the GCF of Fractions 532/666,3867/2312 is 1/769896

Least Common Multiple of 666,2312 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 666,2312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,2312) = 2

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

GCF(666,2312) x common factors =2 x 1 = 2

LCM(666,2312) = ( 666 × 2312 ) / 2

LCM(666,2312) = 1539792 / 2

LCM(666,2312) = 769896

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FAQs on GCF of Fractions of 532/666, 3867/2312

1. What is the HCF of 532,3867?

The HCF of 532,3867 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 532/666, 3867/2312?

Answer: GCF of Numerators as per given numbers 532/666, 3867/2312 is

GCF of Numerators i.e. for 532,3867 is 1

LCM of denominators i.e. for 666,2312 is 769896.

Thus, GCF of Fractions is 1/769896.Finally, GCF of Fractions for 532/666, 3867/2312 is 1/769896.