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GCF of 4973/972, 8227/8985

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 4973/972, 8227/8985 i.e 1/2911140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4973/972, 8227/8985.

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 4973/972,8227/8985?

Given fractions are 4973/972,8227/8985

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 4973/972,8227/8985, numerators are 4973,8227

Denominators are 972,8985

The GCF of 4973,8227 is 1 .

LCM of 972,8985 is 2911140.

The greatest common factor of 4973/972,8227/8985 = [GCF of 4973,8227]/[LCM of 972,8985]= 1/2911140

Therefore, the GCF of 4973/972,8227/8985 is 1/2911140.

Greatest Common Factor of 4973,8227

To find the highest common factor of 4973,8227, we have to find the factors of both numbers and list the highest common factor.

The factors of 4973 are 1, 4973

The factors of 8227 are 1, 19, 433, 8227

The HCF of 4973,8227 is 1.

Lets's calculate GCF of 4973,8227

Greatest Common Factor (GCF) of 4973,8227 By Common Division

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

Greatest Common Factor of 4973,8227 By Matching Biggest Common Factor Method

Greatest Common Factor of 4973,8227 By Matching Biggest Common Factor Method

Now, list down the factors of 4973

:

1,4973

Now, list down the factors of 8227

:

1,19,433,8227

Greatest Common Factor

We found the factors 4973,8227 . The biggest common factor number is the GCF number.
So the greatest common factor 4973,8227 is 1.

Lets's calculate LCM of 972,8985

Lowest Common Multiple of 972,8985 using Common Division

3 972, 8985
324, 2995

∴ So the LCM of the given numbers is 3 x 324 x 2995 = 2911140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2911140

Therefore, the GCF of Fractions 4973/972,8227/8985 is 1/2911140

Least Common Multiple of 972,8985 with GCF Formula

Least Common Multiple of 972,8985 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 972,8985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,8985) = 3

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

GCF(972,8985) x common factors =3 x 1 = 3

LCM(972,8985) = ( 972 × 8985 ) / 3

LCM(972,8985) = 8733420 / 3

LCM(972,8985) = 2911140


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FAQs on GCF of Fractions of 4973/972, 8227/8985

1. What is the HCF of 4973,8227?

The HCF of 4973,8227 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 4973/972, 8227/8985?

Answer: GCF of Numerators as per given numbers 4973/972, 8227/8985 is

GCF of Numerators i.e. for 4973,8227 is 1

LCM of denominators i.e. for 972,8985 is 2911140.

Thus, GCF of Fractions is 1/2911140.Finally, GCF of Fractions for 4973/972, 8227/8985 is 1/2911140.