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GCF of 9239/771, 4607/2807

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 9239/771, 4607/2807 i.e 1/2164197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9239/771, 4607/2807.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9239/771,4607/2807?

Given fractions are 9239/771,4607/2807

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 9239/771,4607/2807, numerators are 9239,4607

Denominators are 771,2807

The GCF of 9239,4607 is 1 .

LCM of 771,2807 is 2164197.

The greatest common factor of 9239/771,4607/2807 = [GCF of 9239,4607]/[LCM of 771,2807]= 1/2164197

Therefore, the GCF of 9239/771,4607/2807 is 1/2164197.

Greatest Common Factor of 9239,4607

To find the highest common factor of 9239,4607, we have to find the factors of both numbers and list the highest common factor.

The factors of 9239 are 1, 9239

The factors of 4607 are 1, 17, 271, 4607

The HCF of 9239,4607 is 1.

Lets's calculate GCF of 9239,4607

Greatest Common Factor (GCF) of 9239,4607 By Common Division

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

Greatest Common Factor of 9239,4607 By Matching Biggest Common Factor Method

Greatest Common Factor of 9239,4607 By Matching Biggest Common Factor Method

Now, list down the factors of 9239

:

1,9239

Now, list down the factors of 4607

:

1,17,271,4607

Greatest Common Factor

We found the factors 9239,4607 . The biggest common factor number is the GCF number.
So the greatest common factor 9239,4607 is 1.

Lets's calculate LCM of 771,2807

Lowest Common Multiple of 771,2807 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2164197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2164197

Therefore, the GCF of Fractions 9239/771,4607/2807 is 1/2164197

Least Common Multiple of 771,2807 with GCF Formula

Least Common Multiple of 771,2807 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 771,2807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,2807) = 1

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

GCF(771,2807) x common factors =1 x 1 = 1

LCM(771,2807) = ( 771 × 2807 ) / 1

LCM(771,2807) = 2164197 / 1

LCM(771,2807) = 2164197


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FAQs on GCF of Fractions of 9239/771, 4607/2807

1. What is the HCF of 9239,4607?

The HCF of 9239,4607 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 9239/771, 4607/2807?

Answer: GCF of Numerators as per given numbers 9239/771, 4607/2807 is

GCF of Numerators i.e. for 9239,4607 is 1

LCM of denominators i.e. for 771,2807 is 2164197.

Thus, GCF of Fractions is 1/2164197.Finally, GCF of Fractions for 9239/771, 4607/2807 is 1/2164197.