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GCF of 8037/254, 2404/1202

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 8037/254, 2404/1202 i.e 1/152654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8037/254, 2404/1202.

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 8037/254,2404/1202?

Given fractions are 8037/254,2404/1202

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 8037/254,2404/1202, numerators are 8037,2404

Denominators are 254,1202

The GCF of 8037,2404 is 1 .

LCM of 254,1202 is 152654.

The greatest common factor of 8037/254,2404/1202 = [GCF of 8037,2404]/[LCM of 254,1202]= 1/152654

Therefore, the GCF of 8037/254,2404/1202 is 1/152654.

Greatest Common Factor of 8037,2404

To find the highest common factor of 8037,2404, we have to find the factors of both numbers and list the highest common factor.

The factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037

The factors of 2404 are 1, 2, 4, 601, 1202, 2404

The HCF of 8037,2404 is 1.

Lets's calculate GCF of 8037,2404

Greatest Common Factor (GCF) of 8037,2404 By Common Division

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

Greatest Common Factor of 8037,2404 By Matching Biggest Common Factor Method

Greatest Common Factor of 8037,2404 By Matching Biggest Common Factor Method

Now, list down the factors of 8037

:

1,3,9,19,47,57,141,171,423,893,2679,8037

Now, list down the factors of 2404

:

1,2,4,601,1202,2404

Greatest Common Factor

We found the factors 8037,2404 . The biggest common factor number is the GCF number.
So the greatest common factor 8037,2404 is 1.


Lets's calculate LCM of 254,1202

Lowest Common Multiple of 254,1202 using Common Division

2 254, 1202
127, 601

∴ So the LCM of the given numbers is 2 x 127 x 601 = 152654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152654

Therefore, the GCF of Fractions 8037/254,2404/1202 is 1/152654

Least Common Multiple of 254,1202 with GCF Formula

Least Common Multiple of 254,1202 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 254,1202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,1202) = 2

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

GCF(254,1202) x common factors =2 x 1 = 2

LCM(254,1202) = ( 254 × 1202 ) / 2

LCM(254,1202) = 305308 / 2

LCM(254,1202) = 152654


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8037/254, 2404/1202

1. What is the HCF of 8037,2404?

The HCF of 8037,2404 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 8037/254, 2404/1202?

Answer: GCF of Numerators as per given numbers 8037/254, 2404/1202 is

GCF of Numerators i.e. for 8037,2404 is 1

LCM of denominators i.e. for 254,1202 is 152654.

Thus, GCF of Fractions is 1/152654.Finally, GCF of Fractions for 8037/254, 2404/1202 is 1/152654.