How to Find GCF of 7598/359, 7361/9199?

GCF of 7598/359, 7361/9199

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 7598/359, 7361/9199 i.e 1/3302441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7598/359, 7361/9199.

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 7598/359,7361/9199?

Given fractions are 7598/359,7361/9199

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 7598/359,7361/9199, numerators are 7598,7361

Denominators are 359,9199

The GCF of 7598,7361 is 1 .

LCM of 359,9199 is 3302441.

The greatest common factor of 7598/359,7361/9199 = [GCF of 7598,7361]/[LCM of 359,9199]= 1/3302441

Therefore, the GCF of 7598/359,7361/9199 is 1/3302441.

Greatest Common Factor of 7598,7361

To find the highest common factor of 7598,7361, we have to find the factors of both numbers and list the highest common factor.

The factors of 7598 are 1, 2, 29, 58, 131, 262, 3799, 7598

The factors of 7361 are 1, 17, 433, 7361

The HCF of 7598,7361 is 1.

Lets's calculate GCF of 7598,7361

Greatest Common Factor (GCF) of 7598,7361 By Common Division

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

Greatest Common Factor of 7598,7361 By Matching Biggest Common Factor Method

Now, list down the factors of 7598

1,2,29,58,131,262,3799,7598

Now, list down the factors of 7361

1,17,433,7361

Greatest Common Factor

We found the factors 7598,7361 . The biggest common factor number is the GCF number.
So the greatest common factor 7598,7361 is 1.

Lets's calculate LCM of 359,9199

Lowest Common Multiple of 359,9199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3302441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3302441

Therefore, the GCF of Fractions 7598/359,7361/9199 is 1/3302441

Least Common Multiple of 359,9199 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 359,9199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,9199) = 1

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

GCF(359,9199) x common factors =1 x 1 = 1

LCM(359,9199) = ( 359 × 9199 ) / 1

LCM(359,9199) = 3302441 / 1

LCM(359,9199) = 3302441

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FAQs on GCF of Fractions of 7598/359, 7361/9199

1. What is the HCF of 7598,7361?

The HCF of 7598,7361 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 7598/359, 7361/9199?

Answer: GCF of Numerators as per given numbers 7598/359, 7361/9199 is

GCF of Numerators i.e. for 7598,7361 is 1

LCM of denominators i.e. for 359,9199 is 3302441.

Thus, GCF of Fractions is 1/3302441.Finally, GCF of Fractions for 7598/359, 7361/9199 is 1/3302441.