GCF of 9973/389, 2280/6351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9973/389, 2280/6351 i.e 1/2470539 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9973/389, 2280/6351.
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 9973/389,2280/6351?
Given fractions are 9973/389,2280/6351
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 9973/389,2280/6351, numerators are 9973,2280
Denominators are 389,6351
The GCF of 9973,2280 is 1 .
LCM of 389,6351 is 2470539.
The greatest common factor of 9973/389,2280/6351 = [GCF of 9973,2280]/[LCM of 389,6351]= 1/2470539
Therefore, the GCF of 9973/389,2280/6351 is 1/2470539.
To find the highest common factor of 9973,2280, we have to find the factors of both numbers and list the highest common factor.
The factors of 9973 are 1, 9973
The factors of 2280 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280
The HCF of 9973,2280 is 1.
Lets's calculate GCF of 9973,2280
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9973,2280 By Matching Biggest Common Factor Method
Now, list down the factors of 9973
:1,9973
Now, list down the factors of 2280
:1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280
Greatest Common Factor
We found the factors 9973,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 9973,2280 is 1.
Lets's calculate LCM of 389,6351
Given numbers has no common factors except 1. So, there LCM is their product i.e 2470539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2470539
Therefore, the GCF of Fractions 9973/389,2280/6351 is 1/2470539
Least Common Multiple of 389,6351 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 389,6351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,6351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,6351) x common factors =1 x 1 = 1
LCM(389,6351) = ( 389 × 6351 ) / 1
LCM(389,6351) = 2470539 / 1
LCM(389,6351) = 2470539
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FAQs on GCF of Fractions of 9973/389, 2280/6351
1. What is the HCF of 9973,2280?
The HCF of 9973,2280 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 9973/389, 2280/6351?
Answer: GCF of Numerators as per given numbers 9973/389, 2280/6351 is
GCF of Numerators i.e. for 9973,2280 is 1
LCM of denominators i.e. for 389,6351 is 2470539.
Thus, GCF of Fractions is 1/2470539.Finally, GCF of Fractions for 9973/389, 2280/6351 is 1/2470539.