How to Find GCF of 1051/493, 9746/7468?

GCF of 1051/493, 9746/7468

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 1051/493, 9746/7468 i.e 1/3681724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1051/493, 9746/7468.

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 1051/493,9746/7468?

Given fractions are 1051/493,9746/7468

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 1051/493,9746/7468, numerators are 1051,9746

Denominators are 493,7468

The GCF of 1051,9746 is 1 .

LCM of 493,7468 is 3681724.

The greatest common factor of 1051/493,9746/7468 = [GCF of 1051,9746]/[LCM of 493,7468]= 1/3681724

Therefore, the GCF of 1051/493,9746/7468 is 1/3681724.

Greatest Common Factor of 1051,9746

To find the highest common factor of 1051,9746, we have to find the factors of both numbers and list the highest common factor.

The factors of 1051 are 1, 1051

The factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746

The HCF of 1051,9746 is 1.

Lets's calculate GCF of 1051,9746

Greatest Common Factor (GCF) of 1051,9746 By Common Division

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

Greatest Common Factor of 1051,9746 By Matching Biggest Common Factor Method

Now, list down the factors of 1051

1,1051

Now, list down the factors of 9746

1,2,11,22,443,886,4873,9746

Greatest Common Factor

We found the factors 1051,9746 . The biggest common factor number is the GCF number.
So the greatest common factor 1051,9746 is 1.

Lets's calculate LCM of 493,7468

Lowest Common Multiple of 493,7468 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3681724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3681724

Therefore, the GCF of Fractions 1051/493,9746/7468 is 1/3681724

Least Common Multiple of 493,7468 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 493,7468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,7468) = 1

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

GCF(493,7468) x common factors =1 x 1 = 1

LCM(493,7468) = ( 493 × 7468 ) / 1

LCM(493,7468) = 3681724 / 1

LCM(493,7468) = 3681724

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FAQs on GCF of Fractions of 1051/493, 9746/7468

1. What is the HCF of 1051,9746?

The HCF of 1051,9746 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 1051/493, 9746/7468?

Answer: GCF of Numerators as per given numbers 1051/493, 9746/7468 is

GCF of Numerators i.e. for 1051,9746 is 1

LCM of denominators i.e. for 493,7468 is 3681724.

Thus, GCF of Fractions is 1/3681724.Finally, GCF of Fractions for 1051/493, 9746/7468 is 1/3681724.