How to Find GCF of 179/91, 381/2749?

GCF of 179/91, 381/2749

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 179/91, 381/2749 i.e 1/250159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/91, 381/2749.

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 179/91,381/2749?

Given fractions are 179/91,381/2749

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 179/91,381/2749, numerators are 179,381

Denominators are 91,2749

The GCF of 179,381 is 1 .

LCM of 91,2749 is 250159.

The greatest common factor of 179/91,381/2749 = [GCF of 179,381]/[LCM of 91,2749]= 1/250159

Therefore, the GCF of 179/91,381/2749 is 1/250159.

Greatest Common Factor of 179,381

To find the highest common factor of 179,381, we have to find the factors of both numbers and list the highest common factor.

The factors of 179 are 1, 179

The factors of 381 are 1, 3, 127, 381

The HCF of 179,381 is 1.

Lets's calculate GCF of 179,381

Greatest Common Factor (GCF) of 179,381 By Common Division

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

Greatest Common Factor of 179,381 By Matching Biggest Common Factor Method

Now, list down the factors of 179

1,179

Now, list down the factors of 381

1,3,127,381

Greatest Common Factor

We found the factors 179,381 . The biggest common factor number is the GCF number.
So the greatest common factor 179,381 is 1.

Lets's calculate LCM of 91,2749

Lowest Common Multiple of 91,2749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 250159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250159

Therefore, the GCF of Fractions 179/91,381/2749 is 1/250159

Least Common Multiple of 91,2749 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 91,2749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,2749) = 1

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

GCF(91,2749) x common factors =1 x 1 = 1

LCM(91,2749) = ( 91 × 2749 ) / 1

LCM(91,2749) = 250159 / 1

LCM(91,2749) = 250159

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FAQs on GCF of Fractions of 179/91, 381/2749

1. What is the HCF of 179,381?

The HCF of 179,381 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 179/91, 381/2749?

Answer: GCF of Numerators as per given numbers 179/91, 381/2749 is

GCF of Numerators i.e. for 179,381 is 1

LCM of denominators i.e. for 91,2749 is 250159.

Thus, GCF of Fractions is 1/250159.Finally, GCF of Fractions for 179/91, 381/2749 is 1/250159.