How to Find GCF of 8543/947, 5075/6421?

GCF of 8543/947, 5075/6421

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 8543/947, 5075/6421 i.e 1/6080687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8543/947, 5075/6421.

Enter two or more fractions separated by "commas"

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

What is the GCF of 8543/947,5075/6421?

Given fractions are 8543/947,5075/6421

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 8543/947,5075/6421, numerators are 8543,5075

Denominators are 947,6421

The GCF of 8543,5075 is 1 .

LCM of 947,6421 is 6080687.

The greatest common factor of 8543/947,5075/6421 = [GCF of 8543,5075]/[LCM of 947,6421]= 1/6080687

Therefore, the GCF of 8543/947,5075/6421 is 1/6080687.

Greatest Common Factor of 8543,5075

To find the highest common factor of 8543,5075, we have to find the factors of both numbers and list the highest common factor.

The factors of 8543 are 1, 8543

The factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075

The HCF of 8543,5075 is 1.

Lets's calculate GCF of 8543,5075

Greatest Common Factor (GCF) of 8543,5075 By Common Division

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

Greatest Common Factor of 8543,5075 By Matching Biggest Common Factor Method

Now, list down the factors of 8543

1,8543

Now, list down the factors of 5075

1,5,7,25,29,35,145,175,203,725,1015,5075

Greatest Common Factor

We found the factors 8543,5075 . The biggest common factor number is the GCF number.
So the greatest common factor 8543,5075 is 1.

Lets's calculate LCM of 947,6421

Lowest Common Multiple of 947,6421 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6080687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6080687

Therefore, the GCF of Fractions 8543/947,5075/6421 is 1/6080687

Least Common Multiple of 947,6421 with GCF Formula

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

We need to calculate greatest common factor of 947,6421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,6421) = 1

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

GCF(947,6421) x common factors =1 x 1 = 1

LCM(947,6421) = ( 947 × 6421 ) / 1

LCM(947,6421) = 6080687 / 1

LCM(947,6421) = 6080687

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FAQs on GCF of Fractions of 8543/947, 5075/6421

1. What is the HCF of 8543,5075?

The HCF of 8543,5075 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 8543/947, 5075/6421?

Answer: GCF of Numerators as per given numbers 8543/947, 5075/6421 is

GCF of Numerators i.e. for 8543,5075 is 1

LCM of denominators i.e. for 947,6421 is 6080687.

Thus, GCF of Fractions is 1/6080687.Finally, GCF of Fractions for 8543/947, 5075/6421 is 1/6080687.