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GCF of 954/564, 1273/752

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 954/564, 1273/752 i.e 1/2256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/564, 1273/752.

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 954/564,1273/752?

Given fractions are 954/564,1273/752

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 954/564,1273/752, numerators are 954,1273

Denominators are 564,752

The GCF of 954,1273 is 1 .

LCM of 564,752 is 2256.

The greatest common factor of 954/564,1273/752 = [GCF of 954,1273]/[LCM of 564,752]= 1/2256

Therefore, the GCF of 954/564,1273/752 is 1/2256.

Greatest Common Factor of 954,1273

To find the highest common factor of 954,1273, we have to find the factors of both numbers and list the highest common factor.

The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

The factors of 1273 are 1, 19, 67, 1273

The HCF of 954,1273 is 1.

Lets's calculate GCF of 954,1273

Greatest Common Factor (GCF) of 954,1273 By Common Division

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

Greatest Common Factor of 954,1273 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,1273 By Matching Biggest Common Factor Method

Now, list down the factors of 954

:

1,2,3,6,9,18,53,106,159,318,477,954

Now, list down the factors of 1273

:

1,19,67,1273

Greatest Common Factor

We found the factors 954,1273 . The biggest common factor number is the GCF number.
So the greatest common factor 954,1273 is 1.

Lets's calculate LCM of 564,752

Lowest Common Multiple of 564,752 using Common Division

2 564, 752
2 282, 376
47 141, 188
3, 4

∴ So the LCM of the given numbers is 2 x 2 x 47 x 3 x 4 = 2256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2256

Therefore, the GCF of Fractions 954/564,1273/752 is 1/2256

Least Common Multiple of 564,752 with GCF Formula

Least Common Multiple of 564,752 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 564,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,752) = 188

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

GCF(564,752) x common factors =188 x 1 = 188

LCM(564,752) = ( 564 × 752 ) / 188

LCM(564,752) = 424128 / 188

LCM(564,752) = 2256


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FAQs on GCF of Fractions of 954/564, 1273/752

1. What is the HCF of 954,1273?

The HCF of 954,1273 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 954/564, 1273/752?

Answer: GCF of Numerators as per given numbers 954/564, 1273/752 is

GCF of Numerators i.e. for 954,1273 is 1

LCM of denominators i.e. for 564,752 is 2256.

Thus, GCF of Fractions is 1/2256.Finally, GCF of Fractions for 954/564, 1273/752 is 1/2256.