How to Find GCF of 274/174, 2959/9341?

GCF of 274/174, 2959/9341

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 274/174, 2959/9341 i.e 1/1625334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 274/174, 2959/9341.

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 274/174,2959/9341?

Given fractions are 274/174,2959/9341

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 274/174,2959/9341, numerators are 274,2959

Denominators are 174,9341

The GCF of 274,2959 is 1 .

LCM of 174,9341 is 1625334.

The greatest common factor of 274/174,2959/9341 = [GCF of 274,2959]/[LCM of 174,9341]= 1/1625334

Therefore, the GCF of 274/174,2959/9341 is 1/1625334.

Greatest Common Factor of 274,2959

To find the highest common factor of 274,2959, we have to find the factors of both numbers and list the highest common factor.

The factors of 274 are 1, 2, 137, 274

The factors of 2959 are 1, 11, 269, 2959

The HCF of 274,2959 is 1.

Lets's calculate GCF of 274,2959

Greatest Common Factor (GCF) of 274,2959 By Common Division

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

Greatest Common Factor of 274,2959 By Matching Biggest Common Factor Method

Now, list down the factors of 274

1,2,137,274

Now, list down the factors of 2959

1,11,269,2959

Greatest Common Factor

We found the factors 274,2959 . The biggest common factor number is the GCF number.
So the greatest common factor 274,2959 is 1.

Lets's calculate LCM of 174,9341

Lowest Common Multiple of 174,9341 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1625334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1625334

Therefore, the GCF of Fractions 274/174,2959/9341 is 1/1625334

Least Common Multiple of 174,9341 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 174,9341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,9341) = 1

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

GCF(174,9341) x common factors =1 x 1 = 1

LCM(174,9341) = ( 174 × 9341 ) / 1

LCM(174,9341) = 1625334 / 1

LCM(174,9341) = 1625334

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FAQs on GCF of Fractions of 274/174, 2959/9341

1. What is the HCF of 274,2959?

The HCF of 274,2959 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 274/174, 2959/9341?

Answer: GCF of Numerators as per given numbers 274/174, 2959/9341 is

GCF of Numerators i.e. for 274,2959 is 1

LCM of denominators i.e. for 174,9341 is 1625334.

Thus, GCF of Fractions is 1/1625334.Finally, GCF of Fractions for 274/174, 2959/9341 is 1/1625334.