GCF of 8724/420, 7543/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8724/420, 7543/101 i.e 1/42420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8724/420, 7543/101.
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 8724/420,7543/101?
Given fractions are 8724/420,7543/101
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 8724/420,7543/101, numerators are 8724,7543
Denominators are 420,101
The GCF of 8724,7543 is 1 .
LCM of 420,101 is 42420.
The greatest common factor of 8724/420,7543/101 = [GCF of 8724,7543]/[LCM of 420,101]= 1/42420
Therefore, the GCF of 8724/420,7543/101 is 1/42420.
To find the highest common factor of 8724,7543, we have to find the factors of both numbers and list the highest common factor.
The factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724
The factors of 7543 are 1, 19, 397, 7543
The HCF of 8724,7543 is 1.
Lets's calculate GCF of 8724,7543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8724,7543 By Matching Biggest Common Factor Method
Now, list down the factors of 8724
:1,2,3,4,6,12,727,1454,2181,2908,4362,8724
Now, list down the factors of 7543
:1,19,397,7543
Greatest Common Factor
We found the factors 8724,7543 . The biggest common factor number is the GCF number.
So the greatest common factor 8724,7543 is 1.
Lets's calculate LCM of 420,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 42420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42420
Therefore, the GCF of Fractions 8724/420,7543/101 is 1/42420
Least Common Multiple of 420,101 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 420,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,101) x common factors =1 x 1 = 1
LCM(420,101) = ( 420 × 101 ) / 1
LCM(420,101) = 42420 / 1
LCM(420,101) = 42420
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FAQs on GCF of Fractions of 8724/420, 7543/101
1. What is the HCF of 8724,7543?
The HCF of 8724,7543 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 8724/420, 7543/101?
Answer: GCF of Numerators as per given numbers 8724/420, 7543/101 is
GCF of Numerators i.e. for 8724,7543 is 1
LCM of denominators i.e. for 420,101 is 42420.
Thus, GCF of Fractions is 1/42420.Finally, GCF of Fractions for 8724/420, 7543/101 is 1/42420.