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GCF of 1538/191, 1093/2569

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 1538/191, 1093/2569 i.e 1/490679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1538/191, 1093/2569.

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 1538/191,1093/2569?

Given fractions are 1538/191,1093/2569

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 1538/191,1093/2569, numerators are 1538,1093

Denominators are 191,2569

The GCF of 1538,1093 is 1 .

LCM of 191,2569 is 490679.

The greatest common factor of 1538/191,1093/2569 = [GCF of 1538,1093]/[LCM of 191,2569]= 1/490679

Therefore, the GCF of 1538/191,1093/2569 is 1/490679.

Greatest Common Factor of 1538,1093

To find the highest common factor of 1538,1093, we have to find the factors of both numbers and list the highest common factor.

The factors of 1538 are 1, 2, 769, 1538

The factors of 1093 are 1, 1093

The HCF of 1538,1093 is 1.

Lets's calculate GCF of 1538,1093

Greatest Common Factor (GCF) of 1538,1093 By Common Division

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

Greatest Common Factor of 1538,1093 By Matching Biggest Common Factor Method

Greatest Common Factor of 1538,1093 By Matching Biggest Common Factor Method

Now, list down the factors of 1538

:

1,2,769,1538

Now, list down the factors of 1093

:

1,1093

Greatest Common Factor

We found the factors 1538,1093 . The biggest common factor number is the GCF number.
So the greatest common factor 1538,1093 is 1.

Lets's calculate LCM of 191,2569

Lowest Common Multiple of 191,2569 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 490679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/490679

Therefore, the GCF of Fractions 1538/191,1093/2569 is 1/490679

Least Common Multiple of 191,2569 with GCF Formula

Least Common Multiple of 191,2569 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 191,2569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,2569) = 1

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

GCF(191,2569) x common factors =1 x 1 = 1

LCM(191,2569) = ( 191 × 2569 ) / 1

LCM(191,2569) = 490679 / 1

LCM(191,2569) = 490679


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FAQs on GCF of Fractions of 1538/191, 1093/2569

1. What is the HCF of 1538,1093?

The HCF of 1538,1093 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 1538/191, 1093/2569?

Answer: GCF of Numerators as per given numbers 1538/191, 1093/2569 is

GCF of Numerators i.e. for 1538,1093 is 1

LCM of denominators i.e. for 191,2569 is 490679.

Thus, GCF of Fractions is 1/490679.Finally, GCF of Fractions for 1538/191, 1093/2569 is 1/490679.