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GCF of 212/944, 995/128

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 212/944, 995/128 i.e 1/7552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 212/944, 995/128.

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 212/944,995/128?

Given fractions are 212/944,995/128

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 212/944,995/128, numerators are 212,995

Denominators are 944,128

The GCF of 212,995 is 1 .

LCM of 944,128 is 7552.

The greatest common factor of 212/944,995/128 = [GCF of 212,995]/[LCM of 944,128]= 1/7552

Therefore, the GCF of 212/944,995/128 is 1/7552.

Greatest Common Factor of 212,995

To find the highest common factor of 212,995, we have to find the factors of both numbers and list the highest common factor.

The factors of 212 are 1, 2, 4, 53, 106, 212

The factors of 995 are 1, 5, 199, 995

The HCF of 212,995 is 1.

Lets's calculate GCF of 212,995

Greatest Common Factor (GCF) of 212,995 By Common Division

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

Greatest Common Factor of 212,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,995 By Matching Biggest Common Factor Method

Now, list down the factors of 212

:

1,2,4,53,106,212

Now, list down the factors of 995

:

1,5,199,995

Greatest Common Factor

We found the factors 212,995 . The biggest common factor number is the GCF number.
So the greatest common factor 212,995 is 1.

Lets's calculate LCM of 944,128

Lowest Common Multiple of 944,128 using Common Division

2 944, 128
2 472, 64
2 236, 32
2 118, 16
59, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 59 x 8 = 7552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7552

Therefore, the GCF of Fractions 212/944,995/128 is 1/7552

Least Common Multiple of 944,128 with GCF Formula

Least Common Multiple of 944,128 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 944,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,128) = 16

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

GCF(944,128) x common factors =16 x 1 = 16

LCM(944,128) = ( 944 × 128 ) / 16

LCM(944,128) = 120832 / 16

LCM(944,128) = 7552


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FAQs on GCF of Fractions of 212/944, 995/128

1. What is the HCF of 212,995?

The HCF of 212,995 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 212/944, 995/128?

Answer: GCF of Numerators as per given numbers 212/944, 995/128 is

GCF of Numerators i.e. for 212,995 is 1

LCM of denominators i.e. for 944,128 is 7552.

Thus, GCF of Fractions is 1/7552.Finally, GCF of Fractions for 212/944, 995/128 is 1/7552.