GCF of 9973/939, 7210/5377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9973/939, 7210/5377 i.e 1/5049003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9973/939, 7210/5377.
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 9973/939,7210/5377?
Given fractions are 9973/939,7210/5377
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 9973/939,7210/5377, numerators are 9973,7210
Denominators are 939,5377
The GCF of 9973,7210 is 1 .
LCM of 939,5377 is 5049003.
The greatest common factor of 9973/939,7210/5377 = [GCF of 9973,7210]/[LCM of 939,5377]= 1/5049003
Therefore, the GCF of 9973/939,7210/5377 is 1/5049003.
To find the highest common factor of 9973,7210, 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 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The HCF of 9973,7210 is 1.
Lets's calculate GCF of 9973,7210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9973,7210 By Matching Biggest Common Factor Method
Now, list down the factors of 9973
:1,9973
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Greatest Common Factor
We found the factors 9973,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 9973,7210 is 1.
Lets's calculate LCM of 939,5377
Given numbers has no common factors except 1. So, there LCM is their product i.e 5049003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5049003
Therefore, the GCF of Fractions 9973/939,7210/5377 is 1/5049003
Least Common Multiple of 939,5377 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 939,5377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,5377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,5377) x common factors =1 x 1 = 1
LCM(939,5377) = ( 939 × 5377 ) / 1
LCM(939,5377) = 5049003 / 1
LCM(939,5377) = 5049003
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FAQs on GCF of Fractions of 9973/939, 7210/5377
1. What is the HCF of 9973,7210?
The HCF of 9973,7210 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 9973/939, 7210/5377?
Answer: GCF of Numerators as per given numbers 9973/939, 7210/5377 is
GCF of Numerators i.e. for 9973,7210 is 1
LCM of denominators i.e. for 939,5377 is 5049003.
Thus, GCF of Fractions is 1/5049003.Finally, GCF of Fractions for 9973/939, 7210/5377 is 1/5049003.