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GCF of 967/44, 900/256

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 967/44, 900/256 i.e 1/2816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/44, 900/256.

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 967/44,900/256?

Given fractions are 967/44,900/256

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 967/44,900/256, numerators are 967,900

Denominators are 44,256

The GCF of 967,900 is 1 .

LCM of 44,256 is 2816.

The greatest common factor of 967/44,900/256 = [GCF of 967,900]/[LCM of 44,256]= 1/2816

Therefore, the GCF of 967/44,900/256 is 1/2816.

Greatest Common Factor of 967,900

To find the highest common factor of 967,900, we have to find the factors of both numbers and list the highest common factor.

The factors of 967 are 1, 967

The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

The HCF of 967,900 is 1.

Lets's calculate GCF of 967,900

Greatest Common Factor (GCF) of 967,900 By Common Division

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

Greatest Common Factor of 967,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,900 By Matching Biggest Common Factor Method

Now, list down the factors of 967

:

1,967

Now, list down the factors of 900

:

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 967,900 . The biggest common factor number is the GCF number.
So the greatest common factor 967,900 is 1.

Lets's calculate LCM of 44,256

Lowest Common Multiple of 44,256 using Common Division

2 44, 256
2 22, 128
11, 64

∴ So the LCM of the given numbers is 2 x 2 x 11 x 64 = 2816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2816

Therefore, the GCF of Fractions 967/44,900/256 is 1/2816

Least Common Multiple of 44,256 with GCF Formula

Least Common Multiple of 44,256 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 44,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,256) = 4

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

GCF(44,256) x common factors =4 x 1 = 4

LCM(44,256) = ( 44 × 256 ) / 4

LCM(44,256) = 11264 / 4

LCM(44,256) = 2816


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FAQs on GCF of Fractions of 967/44, 900/256

1. What is the HCF of 967,900?

The HCF of 967,900 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 967/44, 900/256?

Answer: GCF of Numerators as per given numbers 967/44, 900/256 is

GCF of Numerators i.e. for 967,900 is 1

LCM of denominators i.e. for 44,256 is 2816.

Thus, GCF of Fractions is 1/2816.Finally, GCF of Fractions for 967/44, 900/256 is 1/2816.