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GCF of 1159/168, 2419/2738

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 1159/168, 2419/2738 i.e 1/229992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1159/168, 2419/2738.

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 1159/168,2419/2738?

Given fractions are 1159/168,2419/2738

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 1159/168,2419/2738, numerators are 1159,2419

Denominators are 168,2738

The GCF of 1159,2419 is 1 .

LCM of 168,2738 is 229992.

The greatest common factor of 1159/168,2419/2738 = [GCF of 1159,2419]/[LCM of 168,2738]= 1/229992

Therefore, the GCF of 1159/168,2419/2738 is 1/229992.

Greatest Common Factor of 1159,2419

To find the highest common factor of 1159,2419, we have to find the factors of both numbers and list the highest common factor.

The factors of 1159 are 1, 19, 61, 1159

The factors of 2419 are 1, 41, 59, 2419

The HCF of 1159,2419 is 1.

Lets's calculate GCF of 1159,2419

Greatest Common Factor (GCF) of 1159,2419 By Common Division

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

Greatest Common Factor of 1159,2419 By Matching Biggest Common Factor Method

Greatest Common Factor of 1159,2419 By Matching Biggest Common Factor Method

Now, list down the factors of 1159

:

1,19,61,1159

Now, list down the factors of 2419

:

1,41,59,2419

Greatest Common Factor

We found the factors 1159,2419 . The biggest common factor number is the GCF number.
So the greatest common factor 1159,2419 is 1.

Lets's calculate LCM of 168,2738

Lowest Common Multiple of 168,2738 using Common Division

2 168, 2738
84, 1369

∴ So the LCM of the given numbers is 2 x 84 x 1369 = 229992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229992

Therefore, the GCF of Fractions 1159/168,2419/2738 is 1/229992

Least Common Multiple of 168,2738 with GCF Formula

Least Common Multiple of 168,2738 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 168,2738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,2738) = 2

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

GCF(168,2738) x common factors =2 x 1 = 2

LCM(168,2738) = ( 168 × 2738 ) / 2

LCM(168,2738) = 459984 / 2

LCM(168,2738) = 229992


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FAQs on GCF of Fractions of 1159/168, 2419/2738

1. What is the HCF of 1159,2419?

The HCF of 1159,2419 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 1159/168, 2419/2738?

Answer: GCF of Numerators as per given numbers 1159/168, 2419/2738 is

GCF of Numerators i.e. for 1159,2419 is 1

LCM of denominators i.e. for 168,2738 is 229992.

Thus, GCF of Fractions is 1/229992.Finally, GCF of Fractions for 1159/168, 2419/2738 is 1/229992.