How to Find GCF of 1489/916, 6962/4972?

GCF of 1489/916, 6962/4972

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 1489/916, 6962/4972 i.e 1/1138588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1489/916, 6962/4972.

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 1489/916,6962/4972?

Given fractions are 1489/916,6962/4972

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 1489/916,6962/4972, numerators are 1489,6962

Denominators are 916,4972

The GCF of 1489,6962 is 1 .

LCM of 916,4972 is 1138588.

The greatest common factor of 1489/916,6962/4972 = [GCF of 1489,6962]/[LCM of 916,4972]= 1/1138588

Therefore, the GCF of 1489/916,6962/4972 is 1/1138588.

Greatest Common Factor of 1489,6962

To find the highest common factor of 1489,6962, we have to find the factors of both numbers and list the highest common factor.

The factors of 1489 are 1, 1489

The factors of 6962 are 1, 2, 59, 118, 3481, 6962

The HCF of 1489,6962 is 1.

Lets's calculate GCF of 1489,6962

Greatest Common Factor (GCF) of 1489,6962 By Common Division

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

Greatest Common Factor of 1489,6962 By Matching Biggest Common Factor Method

Now, list down the factors of 1489

1,1489

Now, list down the factors of 6962

1,2,59,118,3481,6962

Greatest Common Factor

We found the factors 1489,6962 . The biggest common factor number is the GCF number.
So the greatest common factor 1489,6962 is 1.

Lets's calculate LCM of 916,4972

Lowest Common Multiple of 916,4972 using Common Division

2	916, 4972
2	458, 2486
	229, 1243

∴ So the LCM of the given numbers is 2 x 2 x 229 x 1243 = 1138588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1138588

Therefore, the GCF of Fractions 1489/916,6962/4972 is 1/1138588

Least Common Multiple of 916,4972 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 916,4972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,4972) = 4

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

GCF(916,4972) x common factors =4 x 1 = 4

LCM(916,4972) = ( 916 × 4972 ) / 4

LCM(916,4972) = 4554352 / 4

LCM(916,4972) = 1138588

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FAQs on GCF of Fractions of 1489/916, 6962/4972

1. What is the HCF of 1489,6962?

The HCF of 1489,6962 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 1489/916, 6962/4972?

Answer: GCF of Numerators as per given numbers 1489/916, 6962/4972 is

GCF of Numerators i.e. for 1489,6962 is 1

LCM of denominators i.e. for 916,4972 is 1138588.

Thus, GCF of Fractions is 1/1138588.Finally, GCF of Fractions for 1489/916, 6962/4972 is 1/1138588.