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GCF of 132/22, 815/978

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 132/22, 815/978 i.e 1/10758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/22, 815/978.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 132/22,815/978?

Given fractions are 132/22,815/978

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 132/22,815/978, numerators are 132,815

Denominators are 22,978

The GCF of 132,815 is 1 .

LCM of 22,978 is 10758.

The greatest common factor of 132/22,815/978 = [GCF of 132,815]/[LCM of 22,978]= 1/10758

Therefore, the GCF of 132/22,815/978 is 1/10758.

Greatest Common Factor of 132,815

To find the highest common factor of 132,815, we have to find the factors of both numbers and list the highest common factor.

The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The factors of 815 are 1, 5, 163, 815

The HCF of 132,815 is 1.

Lets's calculate GCF of 132,815

Greatest Common Factor (GCF) of 132,815 By Common Division

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

Greatest Common Factor of 132,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,815 By Matching Biggest Common Factor Method

Now, list down the factors of 132

:

1,2,3,4,6,11,12,22,33,44,66,132

Now, list down the factors of 815

:

1,5,163,815

Greatest Common Factor

We found the factors 132,815 . The biggest common factor number is the GCF number.
So the greatest common factor 132,815 is 1.

Lets's calculate LCM of 22,978

Lowest Common Multiple of 22,978 using Common Division

2 22, 978
11, 489

∴ So the LCM of the given numbers is 2 x 11 x 489 = 10758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10758

Therefore, the GCF of Fractions 132/22,815/978 is 1/10758

Least Common Multiple of 22,978 with GCF Formula

Least Common Multiple of 22,978 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 22,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,978) = 2

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

GCF(22,978) x common factors =2 x 1 = 2

LCM(22,978) = ( 22 × 978 ) / 2

LCM(22,978) = 21516 / 2

LCM(22,978) = 10758


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FAQs on GCF of Fractions of 132/22, 815/978

1. What is the HCF of 132,815?

The HCF of 132,815 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 132/22, 815/978?

Answer: GCF of Numerators as per given numbers 132/22, 815/978 is

GCF of Numerators i.e. for 132,815 is 1

LCM of denominators i.e. for 22,978 is 10758.

Thus, GCF of Fractions is 1/10758.Finally, GCF of Fractions for 132/22, 815/978 is 1/10758.