GCF of 4972/726, 2493/1339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4972/726, 2493/1339 i.e 1/972114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4972/726, 2493/1339.
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 4972/726,2493/1339?
Given fractions are 4972/726,2493/1339
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 4972/726,2493/1339, numerators are 4972,2493
Denominators are 726,1339
The GCF of 4972,2493 is 1 .
LCM of 726,1339 is 972114.
The greatest common factor of 4972/726,2493/1339 = [GCF of 4972,2493]/[LCM of 726,1339]= 1/972114
Therefore, the GCF of 4972/726,2493/1339 is 1/972114.
To find the highest common factor of 4972,2493, we have to find the factors of both numbers and list the highest common factor.
The factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972
The factors of 2493 are 1, 3, 9, 277, 831, 2493
The HCF of 4972,2493 is 1.
Lets's calculate GCF of 4972,2493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4972,2493 By Matching Biggest Common Factor Method
Now, list down the factors of 4972
:1,2,4,11,22,44,113,226,452,1243,2486,4972
Now, list down the factors of 2493
:1,3,9,277,831,2493
Greatest Common Factor
We found the factors 4972,2493 . The biggest common factor number is the GCF number.
So the greatest common factor 4972,2493 is 1.
Lets's calculate LCM of 726,1339
Given numbers has no common factors except 1. So, there LCM is their product i.e 972114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/972114
Therefore, the GCF of Fractions 4972/726,2493/1339 is 1/972114
Least Common Multiple of 726,1339 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 726,1339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,1339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(726,1339) x common factors =1 x 1 = 1
LCM(726,1339) = ( 726 × 1339 ) / 1
LCM(726,1339) = 972114 / 1
LCM(726,1339) = 972114
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FAQs on GCF of Fractions of 4972/726, 2493/1339
1. What is the HCF of 4972,2493?
The HCF of 4972,2493 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 4972/726, 2493/1339?
Answer: GCF of Numerators as per given numbers 4972/726, 2493/1339 is
GCF of Numerators i.e. for 4972,2493 is 1
LCM of denominators i.e. for 726,1339 is 972114.
Thus, GCF of Fractions is 1/972114.Finally, GCF of Fractions for 4972/726, 2493/1339 is 1/972114.