GCF of 443/875, 316/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 443/875, 316/517 i.e 1/452375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/875, 316/517.
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 443/875,316/517?
Given fractions are 443/875,316/517
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 443/875,316/517, numerators are 443,316
Denominators are 875,517
The GCF of 443,316 is 1 .
LCM of 875,517 is 452375.
The greatest common factor of 443/875,316/517 = [GCF of 443,316]/[LCM of 875,517]= 1/452375
Therefore, the GCF of 443/875,316/517 is 1/452375.
To find the highest common factor of 443,316, we have to find the factors of both numbers and list the highest common factor.
The factors of 443 are 1, 443
The factors of 316 are 1, 2, 4, 79, 158, 316
The HCF of 443,316 is 1.
Lets's calculate GCF of 443,316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 443,316 By Matching Biggest Common Factor Method
Now, list down the factors of 443
:1,443
Now, list down the factors of 316
:1,2,4,79,158,316
Greatest Common Factor
We found the factors 443,316 . The biggest common factor number is the GCF number.
So the greatest common factor 443,316 is 1.
Lets's calculate LCM of 875,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 452375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452375
Therefore, the GCF of Fractions 443/875,316/517 is 1/452375
Least Common Multiple of 875,517 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 875,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,517) x common factors =1 x 1 = 1
LCM(875,517) = ( 875 × 517 ) / 1
LCM(875,517) = 452375 / 1
LCM(875,517) = 452375
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FAQs on GCF of Fractions of 443/875, 316/517
1. What is the HCF of 443,316?
The HCF of 443,316 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 443/875, 316/517?
Answer: GCF of Numerators as per given numbers 443/875, 316/517 is
GCF of Numerators i.e. for 443,316 is 1
LCM of denominators i.e. for 875,517 is 452375.
Thus, GCF of Fractions is 1/452375.Finally, GCF of Fractions for 443/875, 316/517 is 1/452375.