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GCF of 901/600, 1237/2981

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 901/600, 1237/2981 i.e 1/1788600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/600, 1237/2981.

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 901/600,1237/2981?

Given fractions are 901/600,1237/2981

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 901/600,1237/2981, numerators are 901,1237

Denominators are 600,2981

The GCF of 901,1237 is 1 .

LCM of 600,2981 is 1788600.

The greatest common factor of 901/600,1237/2981 = [GCF of 901,1237]/[LCM of 600,2981]= 1/1788600

Therefore, the GCF of 901/600,1237/2981 is 1/1788600.

Greatest Common Factor of 901,1237

To find the highest common factor of 901,1237, we have to find the factors of both numbers and list the highest common factor.

The factors of 901 are 1, 17, 53, 901

The factors of 1237 are 1, 1237

The HCF of 901,1237 is 1.

Lets's calculate GCF of 901,1237

Greatest Common Factor (GCF) of 901,1237 By Common Division

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

Greatest Common Factor of 901,1237 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,1237 By Matching Biggest Common Factor Method

Now, list down the factors of 901

:

1,17,53,901

Now, list down the factors of 1237

:

1,1237

Greatest Common Factor

We found the factors 901,1237 . The biggest common factor number is the GCF number.
So the greatest common factor 901,1237 is 1.

Lets's calculate LCM of 600,2981

Lowest Common Multiple of 600,2981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1788600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788600

Therefore, the GCF of Fractions 901/600,1237/2981 is 1/1788600

Least Common Multiple of 600,2981 with GCF Formula

Least Common Multiple of 600,2981 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 600,2981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,2981) = 1

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

GCF(600,2981) x common factors =1 x 1 = 1

LCM(600,2981) = ( 600 × 2981 ) / 1

LCM(600,2981) = 1788600 / 1

LCM(600,2981) = 1788600


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FAQs on GCF of Fractions of 901/600, 1237/2981

1. What is the HCF of 901,1237?

The HCF of 901,1237 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 901/600, 1237/2981?

Answer: GCF of Numerators as per given numbers 901/600, 1237/2981 is

GCF of Numerators i.e. for 901,1237 is 1

LCM of denominators i.e. for 600,2981 is 1788600.

Thus, GCF of Fractions is 1/1788600.Finally, GCF of Fractions for 901/600, 1237/2981 is 1/1788600.