How to Find GCF of 6637/860, 9746/4852?

GCF of 6637/860, 9746/4852

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 6637/860, 9746/4852 i.e 1/1043180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6637/860, 9746/4852.

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 6637/860,9746/4852?

Given fractions are 6637/860,9746/4852

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 6637/860,9746/4852, numerators are 6637,9746

Denominators are 860,4852

The GCF of 6637,9746 is 1 .

LCM of 860,4852 is 1043180.

The greatest common factor of 6637/860,9746/4852 = [GCF of 6637,9746]/[LCM of 860,4852]= 1/1043180

Therefore, the GCF of 6637/860,9746/4852 is 1/1043180.

Greatest Common Factor of 6637,9746

To find the highest common factor of 6637,9746, we have to find the factors of both numbers and list the highest common factor.

The factors of 6637 are 1, 6637

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

The HCF of 6637,9746 is 1.

Lets's calculate GCF of 6637,9746

Greatest Common Factor (GCF) of 6637,9746 By Common Division

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

Greatest Common Factor of 6637,9746 By Matching Biggest Common Factor Method

Now, list down the factors of 6637

1,6637

Now, list down the factors of 9746

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

Greatest Common Factor

We found the factors 6637,9746 . The biggest common factor number is the GCF number.
So the greatest common factor 6637,9746 is 1.

Lets's calculate LCM of 860,4852

Lowest Common Multiple of 860,4852 using Common Division

2	860, 4852
2	430, 2426
	215, 1213

∴ So the LCM of the given numbers is 2 x 2 x 215 x 1213 = 1043180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1043180

Therefore, the GCF of Fractions 6637/860,9746/4852 is 1/1043180

Least Common Multiple of 860,4852 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 860,4852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,4852) = 4

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

GCF(860,4852) x common factors =4 x 1 = 4

LCM(860,4852) = ( 860 × 4852 ) / 4

LCM(860,4852) = 4172720 / 4

LCM(860,4852) = 1043180

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FAQs on GCF of Fractions of 6637/860, 9746/4852

1. What is the HCF of 6637,9746?

The HCF of 6637,9746 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 6637/860, 9746/4852?

Answer: GCF of Numerators as per given numbers 6637/860, 9746/4852 is

GCF of Numerators i.e. for 6637,9746 is 1

LCM of denominators i.e. for 860,4852 is 1043180.

Thus, GCF of Fractions is 1/1043180.Finally, GCF of Fractions for 6637/860, 9746/4852 is 1/1043180.