GCF of 8951/630, 5010/8021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8951/630, 5010/8021 i.e 1/5053230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8951/630, 5010/8021.
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 8951/630,5010/8021?
Given fractions are 8951/630,5010/8021
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 8951/630,5010/8021, numerators are 8951,5010
Denominators are 630,8021
The GCF of 8951,5010 is 1 .
LCM of 630,8021 is 5053230.
The greatest common factor of 8951/630,5010/8021 = [GCF of 8951,5010]/[LCM of 630,8021]= 1/5053230
Therefore, the GCF of 8951/630,5010/8021 is 1/5053230.
To find the highest common factor of 8951,5010, we have to find the factors of both numbers and list the highest common factor.
The factors of 8951 are 1, 8951
The factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010
The HCF of 8951,5010 is 1.
Lets's calculate GCF of 8951,5010
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8951,5010 By Matching Biggest Common Factor Method
Now, list down the factors of 8951
:1,8951
Now, list down the factors of 5010
:1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Greatest Common Factor
We found the factors 8951,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 8951,5010 is 1.
Lets's calculate LCM of 630,8021
Given numbers has no common factors except 1. So, there LCM is their product i.e 5053230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5053230
Therefore, the GCF of Fractions 8951/630,5010/8021 is 1/5053230
Least Common Multiple of 630,8021 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 630,8021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,8021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(630,8021) x common factors =1 x 1 = 1
LCM(630,8021) = ( 630 × 8021 ) / 1
LCM(630,8021) = 5053230 / 1
LCM(630,8021) = 5053230
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FAQs on GCF of Fractions of 8951/630, 5010/8021
1. What is the HCF of 8951,5010?
The HCF of 8951,5010 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 8951/630, 5010/8021?
Answer: GCF of Numerators as per given numbers 8951/630, 5010/8021 is
GCF of Numerators i.e. for 8951,5010 is 1
LCM of denominators i.e. for 630,8021 is 5053230.
Thus, GCF of Fractions is 1/5053230.Finally, GCF of Fractions for 8951/630, 5010/8021 is 1/5053230.