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GCF of 2041/363, 9752/736

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 2041/363, 9752/736 i.e 1/267168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2041/363, 9752/736.

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 2041/363,9752/736?

Given fractions are 2041/363,9752/736

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 2041/363,9752/736, numerators are 2041,9752

Denominators are 363,736

The GCF of 2041,9752 is 1 .

LCM of 363,736 is 267168.

The greatest common factor of 2041/363,9752/736 = [GCF of 2041,9752]/[LCM of 363,736]= 1/267168

Therefore, the GCF of 2041/363,9752/736 is 1/267168.

Greatest Common Factor of 2041,9752

To find the highest common factor of 2041,9752, we have to find the factors of both numbers and list the highest common factor.

The factors of 2041 are 1, 13, 157, 2041

The factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752

The HCF of 2041,9752 is 1.

Lets's calculate GCF of 2041,9752

Greatest Common Factor (GCF) of 2041,9752 By Common Division

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

Greatest Common Factor of 2041,9752 By Matching Biggest Common Factor Method

Greatest Common Factor of 2041,9752 By Matching Biggest Common Factor Method

Now, list down the factors of 2041

:

1,13,157,2041

Now, list down the factors of 9752

:

1,2,4,8,23,46,53,92,106,184,212,424,1219,2438,4876,9752

Greatest Common Factor

We found the factors 2041,9752 . The biggest common factor number is the GCF number.
So the greatest common factor 2041,9752 is 1.


Lets's calculate LCM of 363,736

Lowest Common Multiple of 363,736 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 267168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267168

Therefore, the GCF of Fractions 2041/363,9752/736 is 1/267168

Least Common Multiple of 363,736 with GCF Formula

Least Common Multiple of 363,736 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 363,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,736) = 1

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

GCF(363,736) x common factors =1 x 1 = 1

LCM(363,736) = ( 363 × 736 ) / 1

LCM(363,736) = 267168 / 1

LCM(363,736) = 267168


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2041/363, 9752/736

1. What is the HCF of 2041,9752?

The HCF of 2041,9752 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 2041/363, 9752/736?

Answer: GCF of Numerators as per given numbers 2041/363, 9752/736 is

GCF of Numerators i.e. for 2041,9752 is 1

LCM of denominators i.e. for 363,736 is 267168.

Thus, GCF of Fractions is 1/267168.Finally, GCF of Fractions for 2041/363, 9752/736 is 1/267168.