How to Find GCF of 9119/598, 4236/9191?

GCF of 9119/598, 4236/9191

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 9119/598, 4236/9191 i.e 1/422786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9119/598, 4236/9191.

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 9119/598,4236/9191?

Given fractions are 9119/598,4236/9191

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 9119/598,4236/9191, numerators are 9119,4236

Denominators are 598,9191

The GCF of 9119,4236 is 1 .

LCM of 598,9191 is 422786.

The greatest common factor of 9119/598,4236/9191 = [GCF of 9119,4236]/[LCM of 598,9191]= 1/422786

Therefore, the GCF of 9119/598,4236/9191 is 1/422786.

Greatest Common Factor of 9119,4236

To find the highest common factor of 9119,4236, we have to find the factors of both numbers and list the highest common factor.

The factors of 9119 are 1, 11, 829, 9119

The factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236

The HCF of 9119,4236 is 1.

Lets's calculate GCF of 9119,4236

Greatest Common Factor (GCF) of 9119,4236 By Common Division

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

Greatest Common Factor of 9119,4236 By Matching Biggest Common Factor Method

Now, list down the factors of 9119

1,11,829,9119

Now, list down the factors of 4236

1,2,3,4,6,12,353,706,1059,1412,2118,4236

Greatest Common Factor

We found the factors 9119,4236 . The biggest common factor number is the GCF number.
So the greatest common factor 9119,4236 is 1.

Lets's calculate LCM of 598,9191

Lowest Common Multiple of 598,9191 using Common Division

13	598, 9191
	46, 707

∴ So the LCM of the given numbers is 13 x 46 x 707 = 422786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422786

Therefore, the GCF of Fractions 9119/598,4236/9191 is 1/422786

Least Common Multiple of 598,9191 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 598,9191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,9191) = 13

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

GCF(598,9191) x common factors =13 x 1 = 13

LCM(598,9191) = ( 598 × 9191 ) / 13

LCM(598,9191) = 5496218 / 13

LCM(598,9191) = 422786

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FAQs on GCF of Fractions of 9119/598, 4236/9191

1. What is the HCF of 9119,4236?

The HCF of 9119,4236 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 9119/598, 4236/9191?

Answer: GCF of Numerators as per given numbers 9119/598, 4236/9191 is

GCF of Numerators i.e. for 9119,4236 is 1

LCM of denominators i.e. for 598,9191 is 422786.

Thus, GCF of Fractions is 1/422786.Finally, GCF of Fractions for 9119/598, 4236/9191 is 1/422786.