GCF of 2450/283, 8637/9172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2450/283, 8637/9172 i.e 1/2595676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2450/283, 8637/9172.
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 2450/283,8637/9172?
Given fractions are 2450/283,8637/9172
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 2450/283,8637/9172, numerators are 2450,8637
Denominators are 283,9172
The GCF of 2450,8637 is 1 .
LCM of 283,9172 is 2595676.
The greatest common factor of 2450/283,8637/9172 = [GCF of 2450,8637]/[LCM of 283,9172]= 1/2595676
Therefore, the GCF of 2450/283,8637/9172 is 1/2595676.
To find the highest common factor of 2450,8637, we have to find the factors of both numbers and list the highest common factor.
The factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450
The factors of 8637 are 1, 3, 2879, 8637
The HCF of 2450,8637 is 1.
Lets's calculate GCF of 2450,8637
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2450,8637 By Matching Biggest Common Factor Method
Now, list down the factors of 2450
:1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450
Now, list down the factors of 8637
:1,3,2879,8637
Greatest Common Factor
We found the factors 2450,8637 . The biggest common factor number is the GCF number.
So the greatest common factor 2450,8637 is 1.
Lets's calculate LCM of 283,9172
Given numbers has no common factors except 1. So, there LCM is their product i.e 2595676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2595676
Therefore, the GCF of Fractions 2450/283,8637/9172 is 1/2595676
Least Common Multiple of 283,9172 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 283,9172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,9172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,9172) x common factors =1 x 1 = 1
LCM(283,9172) = ( 283 × 9172 ) / 1
LCM(283,9172) = 2595676 / 1
LCM(283,9172) = 2595676
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FAQs on GCF of Fractions of 2450/283, 8637/9172
1. What is the HCF of 2450,8637?
The HCF of 2450,8637 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 2450/283, 8637/9172?
Answer: GCF of Numerators as per given numbers 2450/283, 8637/9172 is
GCF of Numerators i.e. for 2450,8637 is 1
LCM of denominators i.e. for 283,9172 is 2595676.
Thus, GCF of Fractions is 1/2595676.Finally, GCF of Fractions for 2450/283, 8637/9172 is 1/2595676.