How to Find GCF of 9367/607, 9902/6189?

GCF of 9367/607, 9902/6189

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 9367/607, 9902/6189 i.e 1/3756723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9367/607, 9902/6189.

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 9367/607,9902/6189?

Given fractions are 9367/607,9902/6189

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 9367/607,9902/6189, numerators are 9367,9902

Denominators are 607,6189

The GCF of 9367,9902 is 1 .

LCM of 607,6189 is 3756723.

The greatest common factor of 9367/607,9902/6189 = [GCF of 9367,9902]/[LCM of 607,6189]= 1/3756723

Therefore, the GCF of 9367/607,9902/6189 is 1/3756723.

Greatest Common Factor of 9367,9902

To find the highest common factor of 9367,9902, we have to find the factors of both numbers and list the highest common factor.

The factors of 9367 are 1, 17, 19, 29, 323, 493, 551, 9367

The factors of 9902 are 1, 2, 4951, 9902

The HCF of 9367,9902 is 1.

Lets's calculate GCF of 9367,9902

Greatest Common Factor (GCF) of 9367,9902 By Common Division

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

Greatest Common Factor of 9367,9902 By Matching Biggest Common Factor Method

Now, list down the factors of 9367

1,17,19,29,323,493,551,9367

Now, list down the factors of 9902

1,2,4951,9902

Greatest Common Factor

We found the factors 9367,9902 . The biggest common factor number is the GCF number.
So the greatest common factor 9367,9902 is 1.

Lets's calculate LCM of 607,6189

Lowest Common Multiple of 607,6189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3756723

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3756723

Therefore, the GCF of Fractions 9367/607,9902/6189 is 1/3756723

Least Common Multiple of 607,6189 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 607,6189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,6189) = 1

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

GCF(607,6189) x common factors =1 x 1 = 1

LCM(607,6189) = ( 607 × 6189 ) / 1

LCM(607,6189) = 3756723 / 1

LCM(607,6189) = 3756723

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FAQs on GCF of Fractions of 9367/607, 9902/6189

1. What is the HCF of 9367,9902?

The HCF of 9367,9902 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 9367/607, 9902/6189?

Answer: GCF of Numerators as per given numbers 9367/607, 9902/6189 is

GCF of Numerators i.e. for 9367,9902 is 1

LCM of denominators i.e. for 607,6189 is 3756723.

Thus, GCF of Fractions is 1/3756723.Finally, GCF of Fractions for 9367/607, 9902/6189 is 1/3756723.