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GCF of 5949/243, 4972/8797

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 5949/243, 4972/8797 i.e 1/2137671 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5949/243, 4972/8797.

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 5949/243,4972/8797?

Given fractions are 5949/243,4972/8797

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 5949/243,4972/8797, numerators are 5949,4972

Denominators are 243,8797

The GCF of 5949,4972 is 1 .

LCM of 243,8797 is 2137671.

The greatest common factor of 5949/243,4972/8797 = [GCF of 5949,4972]/[LCM of 243,8797]= 1/2137671

Therefore, the GCF of 5949/243,4972/8797 is 1/2137671.

Greatest Common Factor of 5949,4972

To find the highest common factor of 5949,4972, we have to find the factors of both numbers and list the highest common factor.

The factors of 5949 are 1, 3, 9, 661, 1983, 5949

The factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

The HCF of 5949,4972 is 1.

Lets's calculate GCF of 5949,4972

Greatest Common Factor (GCF) of 5949,4972 By Common Division

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

Greatest Common Factor of 5949,4972 By Matching Biggest Common Factor Method

Greatest Common Factor of 5949,4972 By Matching Biggest Common Factor Method

Now, list down the factors of 5949

:

1,3,9,661,1983,5949

Now, list down the factors of 4972

:

1,2,4,11,22,44,113,226,452,1243,2486,4972

Greatest Common Factor

We found the factors 5949,4972 . The biggest common factor number is the GCF number.
So the greatest common factor 5949,4972 is 1.


Lets's calculate LCM of 243,8797

Lowest Common Multiple of 243,8797 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2137671

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2137671

Therefore, the GCF of Fractions 5949/243,4972/8797 is 1/2137671

Least Common Multiple of 243,8797 with GCF Formula

Least Common Multiple of 243,8797 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 243,8797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,8797) = 1

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

GCF(243,8797) x common factors =1 x 1 = 1

LCM(243,8797) = ( 243 × 8797 ) / 1

LCM(243,8797) = 2137671 / 1

LCM(243,8797) = 2137671


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5949/243, 4972/8797

1. What is the HCF of 5949,4972?

The HCF of 5949,4972 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 5949/243, 4972/8797?

Answer: GCF of Numerators as per given numbers 5949/243, 4972/8797 is

GCF of Numerators i.e. for 5949,4972 is 1

LCM of denominators i.e. for 243,8797 is 2137671.

Thus, GCF of Fractions is 1/2137671.Finally, GCF of Fractions for 5949/243, 4972/8797 is 1/2137671.