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GCF of 9634/895, 8627/5087

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 9634/895, 8627/5087 i.e 1/4552865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9634/895, 8627/5087.

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 9634/895,8627/5087?

Given fractions are 9634/895,8627/5087

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 9634/895,8627/5087, numerators are 9634,8627

Denominators are 895,5087

The GCF of 9634,8627 is 1 .

LCM of 895,5087 is 4552865.

The greatest common factor of 9634/895,8627/5087 = [GCF of 9634,8627]/[LCM of 895,5087]= 1/4552865

Therefore, the GCF of 9634/895,8627/5087 is 1/4552865.

Greatest Common Factor of 9634,8627

To find the highest common factor of 9634,8627, we have to find the factors of both numbers and list the highest common factor.

The factors of 9634 are 1, 2, 4817, 9634

The factors of 8627 are 1, 8627

The HCF of 9634,8627 is 1.

Lets's calculate GCF of 9634,8627

Greatest Common Factor (GCF) of 9634,8627 By Common Division

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

Greatest Common Factor of 9634,8627 By Matching Biggest Common Factor Method

Greatest Common Factor of 9634,8627 By Matching Biggest Common Factor Method

Now, list down the factors of 9634

:

1,2,4817,9634

Now, list down the factors of 8627

:

1,8627

Greatest Common Factor

We found the factors 9634,8627 . The biggest common factor number is the GCF number.
So the greatest common factor 9634,8627 is 1.

Lets's calculate LCM of 895,5087

Lowest Common Multiple of 895,5087 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4552865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4552865

Therefore, the GCF of Fractions 9634/895,8627/5087 is 1/4552865

Least Common Multiple of 895,5087 with GCF Formula

Least Common Multiple of 895,5087 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 895,5087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,5087) = 1

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

GCF(895,5087) x common factors =1 x 1 = 1

LCM(895,5087) = ( 895 × 5087 ) / 1

LCM(895,5087) = 4552865 / 1

LCM(895,5087) = 4552865


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9634/895, 8627/5087

1. What is the HCF of 9634,8627?

The HCF of 9634,8627 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 9634/895, 8627/5087?

Answer: GCF of Numerators as per given numbers 9634/895, 8627/5087 is

GCF of Numerators i.e. for 9634,8627 is 1

LCM of denominators i.e. for 895,5087 is 4552865.

Thus, GCF of Fractions is 1/4552865.Finally, GCF of Fractions for 9634/895, 8627/5087 is 1/4552865.