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GCF of 964/152, 212/808

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 964/152, 212/808 i.e 4/15352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 964/152, 212/808.

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 964/152,212/808?

Given fractions are 964/152,212/808

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 964/152,212/808, numerators are 964,212

Denominators are 152,808

The GCF of 964,212 is 4 .

LCM of 152,808 is 15352.

The greatest common factor of 964/152,212/808 = [GCF of 964,212]/[LCM of 152,808]= 4/15352

Therefore, the GCF of 964/152,212/808 is 4/15352.

Greatest Common Factor of 964,212

To find the highest common factor of 964,212, we have to find the factors of both numbers and list the highest common factor.

The factors of 964 are 1, 2, 4, 241, 482, 964

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

The HCF of 964,212 is 4.

Lets's calculate GCF of 964,212

Greatest Common Factor (GCF) of 964,212 By Common Division

2 964, 212
2 482, 106
241, 53

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 964,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,212 By Matching Biggest Common Factor Method

Now, list down the factors of 964

:

1,2,4,241,482,964

Now, list down the factors of 212

:

1,2,4,53,106,212

Greatest Common Factor

We found the factors 964,212 . The biggest common factor number is the GCF number.
So the greatest common factor 964,212 is 4.

Lets's calculate LCM of 152,808

Lowest Common Multiple of 152,808 using Common Division

2 152, 808
2 76, 404
2 38, 202
19, 101

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 101 = 15352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15352

Therefore, the GCF of Fractions 964/152,212/808 is 4/15352

Least Common Multiple of 152,808 with GCF Formula

Least Common Multiple of 152,808 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 152,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,808) = 8

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

GCF(152,808) x common factors =8 x 1 = 8

LCM(152,808) = ( 152 × 808 ) / 8

LCM(152,808) = 122816 / 8

LCM(152,808) = 15352


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FAQs on GCF of Fractions of 964/152, 212/808

1. What is the HCF of 964,212?

The HCF of 964,212 is 4

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 964/152, 212/808?

Answer: GCF of Numerators as per given numbers 964/152, 212/808 is

GCF of Numerators i.e. for 964,212 is 4

LCM of denominators i.e. for 152,808 is 15352.

Thus, GCF of Fractions is 4/15352.Finally, GCF of Fractions for 964/152, 212/808 is 4/15352.