GCF of 5210/125, 2391/9021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5210/125, 2391/9021 i.e 1/1127625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5210/125, 2391/9021.
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 5210/125,2391/9021?
Given fractions are 5210/125,2391/9021
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 5210/125,2391/9021, numerators are 5210,2391
Denominators are 125,9021
The GCF of 5210,2391 is 1 .
LCM of 125,9021 is 1127625.
The greatest common factor of 5210/125,2391/9021 = [GCF of 5210,2391]/[LCM of 125,9021]= 1/1127625
Therefore, the GCF of 5210/125,2391/9021 is 1/1127625.
To find the highest common factor of 5210,2391, we have to find the factors of both numbers and list the highest common factor.
The factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210
The factors of 2391 are 1, 3, 797, 2391
The HCF of 5210,2391 is 1.
Lets's calculate GCF of 5210,2391
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5210,2391 By Matching Biggest Common Factor Method
Now, list down the factors of 5210
:1,2,5,10,521,1042,2605,5210
Now, list down the factors of 2391
:1,3,797,2391
Greatest Common Factor
We found the factors 5210,2391 . The biggest common factor number is the GCF number.
So the greatest common factor 5210,2391 is 1.
Lets's calculate LCM of 125,9021
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127625
Therefore, the GCF of Fractions 5210/125,2391/9021 is 1/1127625
Least Common Multiple of 125,9021 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 125,9021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,9021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,9021) x common factors =1 x 1 = 1
LCM(125,9021) = ( 125 × 9021 ) / 1
LCM(125,9021) = 1127625 / 1
LCM(125,9021) = 1127625
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FAQs on GCF of Fractions of 5210/125, 2391/9021
1. What is the HCF of 5210,2391?
The HCF of 5210,2391 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 5210/125, 2391/9021?
Answer: GCF of Numerators as per given numbers 5210/125, 2391/9021 is
GCF of Numerators i.e. for 5210,2391 is 1
LCM of denominators i.e. for 125,9021 is 1127625.
Thus, GCF of Fractions is 1/1127625.Finally, GCF of Fractions for 5210/125, 2391/9021 is 1/1127625.