How to Find GCF of 2902/374, 3929/7158?

GCF of 2902/374, 3929/7158

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 2902/374, 3929/7158 i.e 1/1338546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2902/374, 3929/7158.

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 2902/374,3929/7158?

Given fractions are 2902/374,3929/7158

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 2902/374,3929/7158, numerators are 2902,3929

Denominators are 374,7158

The GCF of 2902,3929 is 1 .

LCM of 374,7158 is 1338546.

The greatest common factor of 2902/374,3929/7158 = [GCF of 2902,3929]/[LCM of 374,7158]= 1/1338546

Therefore, the GCF of 2902/374,3929/7158 is 1/1338546.

Greatest Common Factor of 2902,3929

To find the highest common factor of 2902,3929, we have to find the factors of both numbers and list the highest common factor.

The factors of 2902 are 1, 2, 1451, 2902

The factors of 3929 are 1, 3929

The HCF of 2902,3929 is 1.

Lets's calculate GCF of 2902,3929

Greatest Common Factor (GCF) of 2902,3929 By Common Division

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

Greatest Common Factor of 2902,3929 By Matching Biggest Common Factor Method

Now, list down the factors of 2902

1,2,1451,2902

Now, list down the factors of 3929

1,3929

Greatest Common Factor

We found the factors 2902,3929 . The biggest common factor number is the GCF number.
So the greatest common factor 2902,3929 is 1.

Lets's calculate LCM of 374,7158

Lowest Common Multiple of 374,7158 using Common Division

2	374, 7158
	187, 3579

∴ So the LCM of the given numbers is 2 x 187 x 3579 = 1338546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1338546

Therefore, the GCF of Fractions 2902/374,3929/7158 is 1/1338546

Least Common Multiple of 374,7158 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 374,7158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,7158) = 2

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

GCF(374,7158) x common factors =2 x 1 = 2

LCM(374,7158) = ( 374 × 7158 ) / 2

LCM(374,7158) = 2677092 / 2

LCM(374,7158) = 1338546

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FAQs on GCF of Fractions of 2902/374, 3929/7158

1. What is the HCF of 2902,3929?

The HCF of 2902,3929 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 2902/374, 3929/7158?

Answer: GCF of Numerators as per given numbers 2902/374, 3929/7158 is

GCF of Numerators i.e. for 2902,3929 is 1

LCM of denominators i.e. for 374,7158 is 1338546.

Thus, GCF of Fractions is 1/1338546.Finally, GCF of Fractions for 2902/374, 3929/7158 is 1/1338546.