GCF of 4982/539, 1113/3456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4982/539, 1113/3456 i.e 53/1862784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4982/539, 1113/3456.
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 4982/539,1113/3456?
Given fractions are 4982/539,1113/3456
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 4982/539,1113/3456, numerators are 4982,1113
Denominators are 539,3456
The GCF of 4982,1113 is 53 .
LCM of 539,3456 is 1862784.
The greatest common factor of 4982/539,1113/3456 = [GCF of 4982,1113]/[LCM of 539,3456]= 53/1862784
Therefore, the GCF of 4982/539,1113/3456 is 53/1862784.
To find the highest common factor of 4982,1113, we have to find the factors of both numbers and list the highest common factor.
The factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982
The factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113
The HCF of 4982,1113 is 53.
Lets's calculate GCF of 4982,1113
| 53 | 4982, 1113 |
| 94, 21 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 4982,1113 By Matching Biggest Common Factor Method
Now, list down the factors of 4982
:1,2,47,53,94,106,2491,4982
Now, list down the factors of 1113
:1,3,7,21,53,159,371,1113
Greatest Common Factor
We found the factors 4982,1113 . The biggest common factor number is the GCF number.
So the greatest common factor 4982,1113 is 53.
Lets's calculate LCM of 539,3456
Given numbers has no common factors except 1. So, there LCM is their product i.e 1862784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/1862784
Therefore, the GCF of Fractions 4982/539,1113/3456 is 53/1862784
Least Common Multiple of 539,3456 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 539,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,3456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,3456) x common factors =1 x 1 = 1
LCM(539,3456) = ( 539 × 3456 ) / 1
LCM(539,3456) = 1862784 / 1
LCM(539,3456) = 1862784
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FAQs on GCF of Fractions of 4982/539, 1113/3456
1. What is the HCF of 4982,1113?
The HCF of 4982,1113 is 53
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 4982/539, 1113/3456?
Answer: GCF of Numerators as per given numbers 4982/539, 1113/3456 is
GCF of Numerators i.e. for 4982,1113 is 53
LCM of denominators i.e. for 539,3456 is 1862784.
Thus, GCF of Fractions is 53/1862784.Finally, GCF of Fractions for 4982/539, 1113/3456 is 53/1862784.