GCF of 8021/478, 2170/9857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8021/478, 2170/9857 i.e 1/4711646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8021/478, 2170/9857.
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 8021/478,2170/9857?
Given fractions are 8021/478,2170/9857
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 8021/478,2170/9857, numerators are 8021,2170
Denominators are 478,9857
The GCF of 8021,2170 is 1 .
LCM of 478,9857 is 4711646.
The greatest common factor of 8021/478,2170/9857 = [GCF of 8021,2170]/[LCM of 478,9857]= 1/4711646
Therefore, the GCF of 8021/478,2170/9857 is 1/4711646.
To find the highest common factor of 8021,2170, we have to find the factors of both numbers and list the highest common factor.
The factors of 8021 are 1, 13, 617, 8021
The factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170
The HCF of 8021,2170 is 1.
Lets's calculate GCF of 8021,2170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8021,2170 By Matching Biggest Common Factor Method
Now, list down the factors of 8021
:1,13,617,8021
Now, list down the factors of 2170
:1,2,5,7,10,14,31,35,62,70,155,217,310,434,1085,2170
Greatest Common Factor
We found the factors 8021,2170 . The biggest common factor number is the GCF number.
So the greatest common factor 8021,2170 is 1.
Lets's calculate LCM of 478,9857
Given numbers has no common factors except 1. So, there LCM is their product i.e 4711646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4711646
Therefore, the GCF of Fractions 8021/478,2170/9857 is 1/4711646
Least Common Multiple of 478,9857 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 478,9857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,9857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,9857) x common factors =1 x 1 = 1
LCM(478,9857) = ( 478 × 9857 ) / 1
LCM(478,9857) = 4711646 / 1
LCM(478,9857) = 4711646
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FAQs on GCF of Fractions of 8021/478, 2170/9857
1. What is the HCF of 8021,2170?
The HCF of 8021,2170 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 8021/478, 2170/9857?
Answer: GCF of Numerators as per given numbers 8021/478, 2170/9857 is
GCF of Numerators i.e. for 8021,2170 is 1
LCM of denominators i.e. for 478,9857 is 4711646.
Thus, GCF of Fractions is 1/4711646.Finally, GCF of Fractions for 8021/478, 2170/9857 is 1/4711646.