How to Find GCF of 1915/181, 1253/1659?

GCF of 1915/181, 1253/1659

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 1915/181, 1253/1659 i.e 1/300279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1915/181, 1253/1659.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1915/181,1253/1659?

Given fractions are 1915/181,1253/1659

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 1915/181,1253/1659, numerators are 1915,1253

Denominators are 181,1659

The GCF of 1915,1253 is 1 .

LCM of 181,1659 is 300279.

The greatest common factor of 1915/181,1253/1659 = [GCF of 1915,1253]/[LCM of 181,1659]= 1/300279

Therefore, the GCF of 1915/181,1253/1659 is 1/300279.

Greatest Common Factor of 1915,1253

To find the highest common factor of 1915,1253, we have to find the factors of both numbers and list the highest common factor.

The factors of 1915 are 1, 5, 383, 1915

The factors of 1253 are 1, 7, 179, 1253

The HCF of 1915,1253 is 1.

Lets's calculate GCF of 1915,1253

Greatest Common Factor (GCF) of 1915,1253 By Common Division

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

Greatest Common Factor of 1915,1253 By Matching Biggest Common Factor Method

Now, list down the factors of 1915

1,5,383,1915

Now, list down the factors of 1253

1,7,179,1253

Greatest Common Factor

We found the factors 1915,1253 . The biggest common factor number is the GCF number.
So the greatest common factor 1915,1253 is 1.

Lets's calculate LCM of 181,1659

Lowest Common Multiple of 181,1659 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 300279

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300279

Therefore, the GCF of Fractions 1915/181,1253/1659 is 1/300279

Least Common Multiple of 181,1659 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 181,1659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,1659) = 1

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

GCF(181,1659) x common factors =1 x 1 = 1

LCM(181,1659) = ( 181 × 1659 ) / 1

LCM(181,1659) = 300279 / 1

LCM(181,1659) = 300279

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FAQs on GCF of Fractions of 1915/181, 1253/1659

1. What is the HCF of 1915,1253?

The HCF of 1915,1253 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 1915/181, 1253/1659?

Answer: GCF of Numerators as per given numbers 1915/181, 1253/1659 is

GCF of Numerators i.e. for 1915,1253 is 1

LCM of denominators i.e. for 181,1659 is 300279.

Thus, GCF of Fractions is 1/300279.Finally, GCF of Fractions for 1915/181, 1253/1659 is 1/300279.