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GCF of 5318/400, 8467/1555

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 5318/400, 8467/1555 i.e 1/124400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5318/400, 8467/1555.

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 5318/400,8467/1555?

Given fractions are 5318/400,8467/1555

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 5318/400,8467/1555, numerators are 5318,8467

Denominators are 400,1555

The GCF of 5318,8467 is 1 .

LCM of 400,1555 is 124400.

The greatest common factor of 5318/400,8467/1555 = [GCF of 5318,8467]/[LCM of 400,1555]= 1/124400

Therefore, the GCF of 5318/400,8467/1555 is 1/124400.

Greatest Common Factor of 5318,8467

To find the highest common factor of 5318,8467, we have to find the factors of both numbers and list the highest common factor.

The factors of 5318 are 1, 2, 2659, 5318

The factors of 8467 are 1, 8467

The HCF of 5318,8467 is 1.

Lets's calculate GCF of 5318,8467

Greatest Common Factor (GCF) of 5318,8467 By Common Division

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

Greatest Common Factor of 5318,8467 By Matching Biggest Common Factor Method

Greatest Common Factor of 5318,8467 By Matching Biggest Common Factor Method

Now, list down the factors of 5318

:

1,2,2659,5318

Now, list down the factors of 8467

:

1,8467

Greatest Common Factor

We found the factors 5318,8467 . The biggest common factor number is the GCF number.
So the greatest common factor 5318,8467 is 1.

Lets's calculate LCM of 400,1555

Lowest Common Multiple of 400,1555 using Common Division

5 400, 1555
80, 311

∴ So the LCM of the given numbers is 5 x 80 x 311 = 124400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124400

Therefore, the GCF of Fractions 5318/400,8467/1555 is 1/124400

Least Common Multiple of 400,1555 with GCF Formula

Least Common Multiple of 400,1555 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 400,1555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,1555) = 5

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

GCF(400,1555) x common factors =5 x 1 = 5

LCM(400,1555) = ( 400 × 1555 ) / 5

LCM(400,1555) = 622000 / 5

LCM(400,1555) = 124400


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FAQs on GCF of Fractions of 5318/400, 8467/1555

1. What is the HCF of 5318,8467?

The HCF of 5318,8467 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 5318/400, 8467/1555?

Answer: GCF of Numerators as per given numbers 5318/400, 8467/1555 is

GCF of Numerators i.e. for 5318,8467 is 1

LCM of denominators i.e. for 400,1555 is 124400.

Thus, GCF of Fractions is 1/124400.Finally, GCF of Fractions for 5318/400, 8467/1555 is 1/124400.