How to Find GCF of 963/428, 448/272?

GCF of 963/428, 448/272

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 963/428, 448/272 i.e 1/29104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/428, 448/272.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 963/428,448/272?

Given fractions are 963/428,448/272

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 963/428,448/272, numerators are 963,448

Denominators are 428,272

The GCF of 963,448 is 1 .

LCM of 428,272 is 29104.

The greatest common factor of 963/428,448/272 = [GCF of 963,448]/[LCM of 428,272]= 1/29104

Therefore, the GCF of 963/428,448/272 is 1/29104.

Greatest Common Factor of 963,448

To find the highest common factor of 963,448, we have to find the factors of both numbers and list the highest common factor.

The factors of 963 are 1, 3, 9, 107, 321, 963

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

The HCF of 963,448 is 1.

Lets's calculate GCF of 963,448

Greatest Common Factor (GCF) of 963,448 By Common Division

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

Greatest Common Factor of 963,448 By Matching Biggest Common Factor Method

Now, list down the factors of 963

1,3,9,107,321,963

Now, list down the factors of 448

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 963,448 . The biggest common factor number is the GCF number.
So the greatest common factor 963,448 is 1.

Lets's calculate LCM of 428,272

Lowest Common Multiple of 428,272 using Common Division

2	428, 272
2	214, 136
	107, 68

∴ So the LCM of the given numbers is 2 x 2 x 107 x 68 = 29104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29104

Therefore, the GCF of Fractions 963/428,448/272 is 1/29104

Least Common Multiple of 428,272 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 428,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,272) = 4

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

GCF(428,272) x common factors =4 x 1 = 4

LCM(428,272) = ( 428 × 272 ) / 4

LCM(428,272) = 116416 / 4

LCM(428,272) = 29104

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FAQs on GCF of Fractions of 963/428, 448/272

1. What is the HCF of 963,448?

The HCF of 963,448 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 963/428, 448/272?

Answer: GCF of Numerators as per given numbers 963/428, 448/272 is

GCF of Numerators i.e. for 963,448 is 1

LCM of denominators i.e. for 428,272 is 29104.

Thus, GCF of Fractions is 1/29104.Finally, GCF of Fractions for 963/428, 448/272 is 1/29104.