LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 132/21, 814/961

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 132/21, 814/961 i.e 22/20181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/21, 814/961.

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 132/21,814/961?

Given fractions are 132/21,814/961

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 132/21,814/961, numerators are 132,814

Denominators are 21,961

The GCF of 132,814 is 22 .

LCM of 21,961 is 20181.

The greatest common factor of 132/21,814/961 = [GCF of 132,814]/[LCM of 21,961]= 22/20181

Therefore, the GCF of 132/21,814/961 is 22/20181.

Greatest Common Factor of 132,814

To find the highest common factor of 132,814, 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 814 are 1, 2, 11, 22, 37, 74, 407, 814

The HCF of 132,814 is 22.

Lets's calculate GCF of 132,814

Greatest Common Factor (GCF) of 132,814 By Common Division

2 132, 814
11 66, 407
6, 37

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 132,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,814 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 814

:

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 132,814 . The biggest common factor number is the GCF number.
So the greatest common factor 132,814 is 22.

Lets's calculate LCM of 21,961

Lowest Common Multiple of 21,961 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/20181

Therefore, the GCF of Fractions 132/21,814/961 is 22/20181

Least Common Multiple of 21,961 with GCF Formula

Least Common Multiple of 21,961 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 21,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,961) = 1

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

GCF(21,961) x common factors =1 x 1 = 1

LCM(21,961) = ( 21 × 961 ) / 1

LCM(21,961) = 20181 / 1

LCM(21,961) = 20181


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 132/21, 814/961

1. What is the HCF of 132,814?

The HCF of 132,814 is 22

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 132/21, 814/961?

Answer: GCF of Numerators as per given numbers 132/21, 814/961 is

GCF of Numerators i.e. for 132,814 is 22

LCM of denominators i.e. for 21,961 is 20181.

Thus, GCF of Fractions is 22/20181.Finally, GCF of Fractions for 132/21, 814/961 is 22/20181.