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GCF of 6416/375, 4547/563

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 6416/375, 4547/563 i.e 1/211125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6416/375, 4547/563.

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 6416/375,4547/563?

Given fractions are 6416/375,4547/563

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 6416/375,4547/563, numerators are 6416,4547

Denominators are 375,563

The GCF of 6416,4547 is 1 .

LCM of 375,563 is 211125.

The greatest common factor of 6416/375,4547/563 = [GCF of 6416,4547]/[LCM of 375,563]= 1/211125

Therefore, the GCF of 6416/375,4547/563 is 1/211125.

Greatest Common Factor of 6416,4547

To find the highest common factor of 6416,4547, we have to find the factors of both numbers and list the highest common factor.

The factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416

The factors of 4547 are 1, 4547

The HCF of 6416,4547 is 1.

Lets's calculate GCF of 6416,4547

Greatest Common Factor (GCF) of 6416,4547 By Common Division

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

Greatest Common Factor of 6416,4547 By Matching Biggest Common Factor Method

Greatest Common Factor of 6416,4547 By Matching Biggest Common Factor Method

Now, list down the factors of 6416

:

1,2,4,8,16,401,802,1604,3208,6416

Now, list down the factors of 4547

:

1,4547

Greatest Common Factor

We found the factors 6416,4547 . The biggest common factor number is the GCF number.
So the greatest common factor 6416,4547 is 1.

Lets's calculate LCM of 375,563

Lowest Common Multiple of 375,563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 211125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211125

Therefore, the GCF of Fractions 6416/375,4547/563 is 1/211125

Least Common Multiple of 375,563 with GCF Formula

Least Common Multiple of 375,563 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 375,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,563) = 1

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

GCF(375,563) x common factors =1 x 1 = 1

LCM(375,563) = ( 375 × 563 ) / 1

LCM(375,563) = 211125 / 1

LCM(375,563) = 211125


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FAQs on GCF of Fractions of 6416/375, 4547/563

1. What is the HCF of 6416,4547?

The HCF of 6416,4547 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 6416/375, 4547/563?

Answer: GCF of Numerators as per given numbers 6416/375, 4547/563 is

GCF of Numerators i.e. for 6416,4547 is 1

LCM of denominators i.e. for 375,563 is 211125.

Thus, GCF of Fractions is 1/211125.Finally, GCF of Fractions for 6416/375, 4547/563 is 1/211125.