How to Find GCF of 7394/735, 2098/5557?

GCF of 7394/735, 2098/5557

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 7394/735, 2098/5557 i.e 2/4084395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7394/735, 2098/5557.

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 7394/735,2098/5557?

Given fractions are 7394/735,2098/5557

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 7394/735,2098/5557, numerators are 7394,2098

Denominators are 735,5557

The GCF of 7394,2098 is 2 .

LCM of 735,5557 is 4084395.

The greatest common factor of 7394/735,2098/5557 = [GCF of 7394,2098]/[LCM of 735,5557]= 2/4084395

Therefore, the GCF of 7394/735,2098/5557 is 2/4084395.

Greatest Common Factor of 7394,2098

To find the highest common factor of 7394,2098, we have to find the factors of both numbers and list the highest common factor.

The factors of 7394 are 1, 2, 3697, 7394

The factors of 2098 are 1, 2, 1049, 2098

The HCF of 7394,2098 is 2.

Lets's calculate GCF of 7394,2098

Greatest Common Factor (GCF) of 7394,2098 By Common Division

2	7394, 2098
	3697, 1049

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7394,2098 By Matching Biggest Common Factor Method

Now, list down the factors of 7394

1,2,3697,7394

Now, list down the factors of 2098

1,2,1049,2098

Greatest Common Factor

We found the factors 7394,2098 . The biggest common factor number is the GCF number.
So the greatest common factor 7394,2098 is 2.

Lets's calculate LCM of 735,5557

Lowest Common Multiple of 735,5557 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4084395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4084395

Therefore, the GCF of Fractions 7394/735,2098/5557 is 2/4084395

Least Common Multiple of 735,5557 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 735,5557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,5557) = 1

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

GCF(735,5557) x common factors =1 x 1 = 1

LCM(735,5557) = ( 735 × 5557 ) / 1

LCM(735,5557) = 4084395 / 1

LCM(735,5557) = 4084395

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FAQs on GCF of Fractions of 7394/735, 2098/5557

1. What is the HCF of 7394,2098?

The HCF of 7394,2098 is 2

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 7394/735, 2098/5557?

Answer: GCF of Numerators as per given numbers 7394/735, 2098/5557 is

GCF of Numerators i.e. for 7394,2098 is 2

LCM of denominators i.e. for 735,5557 is 4084395.

Thus, GCF of Fractions is 2/4084395.Finally, GCF of Fractions for 7394/735, 2098/5557 is 2/4084395.