How to Find GCF of 2417/274, 7159/711?

GCF of 2417/274, 7159/711

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 2417/274, 7159/711 i.e 1/194814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2417/274, 7159/711.

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 2417/274,7159/711?

Given fractions are 2417/274,7159/711

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 2417/274,7159/711, numerators are 2417,7159

Denominators are 274,711

The GCF of 2417,7159 is 1 .

LCM of 274,711 is 194814.

The greatest common factor of 2417/274,7159/711 = [GCF of 2417,7159]/[LCM of 274,711]= 1/194814

Therefore, the GCF of 2417/274,7159/711 is 1/194814.

Greatest Common Factor of 2417,7159

To find the highest common factor of 2417,7159, we have to find the factors of both numbers and list the highest common factor.

The factors of 2417 are 1, 2417

The factors of 7159 are 1, 7159

The HCF of 2417,7159 is 1.

Lets's calculate GCF of 2417,7159

Greatest Common Factor (GCF) of 2417,7159 By Common Division

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

Greatest Common Factor of 2417,7159 By Matching Biggest Common Factor Method

Now, list down the factors of 2417

1,2417

Now, list down the factors of 7159

1,7159

Greatest Common Factor

We found the factors 2417,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 2417,7159 is 1.

Lets's calculate LCM of 274,711

Lowest Common Multiple of 274,711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 194814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194814

Therefore, the GCF of Fractions 2417/274,7159/711 is 1/194814

Least Common Multiple of 274,711 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 274,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,711) = 1

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

GCF(274,711) x common factors =1 x 1 = 1

LCM(274,711) = ( 274 × 711 ) / 1

LCM(274,711) = 194814 / 1

LCM(274,711) = 194814

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FAQs on GCF of Fractions of 2417/274, 7159/711

1. What is the HCF of 2417,7159?

The HCF of 2417,7159 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 2417/274, 7159/711?

Answer: GCF of Numerators as per given numbers 2417/274, 7159/711 is

GCF of Numerators i.e. for 2417,7159 is 1

LCM of denominators i.e. for 274,711 is 194814.

Thus, GCF of Fractions is 1/194814.Finally, GCF of Fractions for 2417/274, 7159/711 is 1/194814.