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GCF of 8638/450, 3163/781

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 8638/450, 3163/781 i.e 1/351450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8638/450, 3163/781.

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 8638/450,3163/781?

Given fractions are 8638/450,3163/781

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 8638/450,3163/781, numerators are 8638,3163

Denominators are 450,781

The GCF of 8638,3163 is 1 .

LCM of 450,781 is 351450.

The greatest common factor of 8638/450,3163/781 = [GCF of 8638,3163]/[LCM of 450,781]= 1/351450

Therefore, the GCF of 8638/450,3163/781 is 1/351450.

Greatest Common Factor of 8638,3163

To find the highest common factor of 8638,3163, we have to find the factors of both numbers and list the highest common factor.

The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638

The factors of 3163 are 1, 3163

The HCF of 8638,3163 is 1.

Lets's calculate GCF of 8638,3163

Greatest Common Factor (GCF) of 8638,3163 By Common Division

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

Greatest Common Factor of 8638,3163 By Matching Biggest Common Factor Method

Greatest Common Factor of 8638,3163 By Matching Biggest Common Factor Method

Now, list down the factors of 8638

:

1,2,7,14,617,1234,4319,8638

Now, list down the factors of 3163

:

1,3163

Greatest Common Factor

We found the factors 8638,3163 . The biggest common factor number is the GCF number.
So the greatest common factor 8638,3163 is 1.

Lets's calculate LCM of 450,781

Lowest Common Multiple of 450,781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 351450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351450

Therefore, the GCF of Fractions 8638/450,3163/781 is 1/351450

Least Common Multiple of 450,781 with GCF Formula

Least Common Multiple of 450,781 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 450,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,781) = 1

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

GCF(450,781) x common factors =1 x 1 = 1

LCM(450,781) = ( 450 × 781 ) / 1

LCM(450,781) = 351450 / 1

LCM(450,781) = 351450


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FAQs on GCF of Fractions of 8638/450, 3163/781

1. What is the HCF of 8638,3163?

The HCF of 8638,3163 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 8638/450, 3163/781?

Answer: GCF of Numerators as per given numbers 8638/450, 3163/781 is

GCF of Numerators i.e. for 8638,3163 is 1

LCM of denominators i.e. for 450,781 is 351450.

Thus, GCF of Fractions is 1/351450.Finally, GCF of Fractions for 8638/450, 3163/781 is 1/351450.