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GCF of 484/289, 969/256

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 484/289, 969/256 i.e 1/73984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 484/289, 969/256.

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 484/289,969/256?

Given fractions are 484/289,969/256

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 484/289,969/256, numerators are 484,969

Denominators are 289,256

The GCF of 484,969 is 1 .

LCM of 289,256 is 73984.

The greatest common factor of 484/289,969/256 = [GCF of 484,969]/[LCM of 289,256]= 1/73984

Therefore, the GCF of 484/289,969/256 is 1/73984.

Greatest Common Factor of 484,969

To find the highest common factor of 484,969, we have to find the factors of both numbers and list the highest common factor.

The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The HCF of 484,969 is 1.

Lets's calculate GCF of 484,969

Greatest Common Factor (GCF) of 484,969 By Common Division

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

Greatest Common Factor of 484,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,969 By Matching Biggest Common Factor Method

Now, list down the factors of 484

:

1,2,4,11,22,44,121,242,484

Now, list down the factors of 969

:

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 484,969 . The biggest common factor number is the GCF number.
So the greatest common factor 484,969 is 1.

Lets's calculate LCM of 289,256

Lowest Common Multiple of 289,256 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 73984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73984

Therefore, the GCF of Fractions 484/289,969/256 is 1/73984

Least Common Multiple of 289,256 with GCF Formula

Least Common Multiple of 289,256 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 289,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,256) = 1

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

GCF(289,256) x common factors =1 x 1 = 1

LCM(289,256) = ( 289 × 256 ) / 1

LCM(289,256) = 73984 / 1

LCM(289,256) = 73984


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FAQs on GCF of Fractions of 484/289, 969/256

1. What is the HCF of 484,969?

The HCF of 484,969 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 484/289, 969/256?

Answer: GCF of Numerators as per given numbers 484/289, 969/256 is

GCF of Numerators i.e. for 484,969 is 1

LCM of denominators i.e. for 289,256 is 73984.

Thus, GCF of Fractions is 1/73984.Finally, GCF of Fractions for 484/289, 969/256 is 1/73984.