GCF of 7524/539, 3942/5211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7524/539, 3942/5211 i.e 18/2808729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7524/539, 3942/5211.
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 7524/539,3942/5211?
Given fractions are 7524/539,3942/5211
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 7524/539,3942/5211, numerators are 7524,3942
Denominators are 539,5211
The GCF of 7524,3942 is 18 .
LCM of 539,5211 is 2808729.
The greatest common factor of 7524/539,3942/5211 = [GCF of 7524,3942]/[LCM of 539,5211]= 18/2808729
Therefore, the GCF of 7524/539,3942/5211 is 18/2808729.
To find the highest common factor of 7524,3942, we have to find the factors of both numbers and list the highest common factor.
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942
The HCF of 7524,3942 is 18.
Lets's calculate GCF of 7524,3942
| 2 | 7524, 3942 |
| 3 | 3762, 1971 |
| 3 | 1254, 657 |
| 418, 219 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 7524,3942 By Matching Biggest Common Factor Method
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Now, list down the factors of 3942
:1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942
Greatest Common Factor
We found the factors 7524,3942 . The biggest common factor number is the GCF number.
So the greatest common factor 7524,3942 is 18.
Lets's calculate LCM of 539,5211
Given numbers has no common factors except 1. So, there LCM is their product i.e 2808729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2808729
Therefore, the GCF of Fractions 7524/539,3942/5211 is 18/2808729
Least Common Multiple of 539,5211 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 539,5211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,5211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,5211) x common factors =1 x 1 = 1
LCM(539,5211) = ( 539 × 5211 ) / 1
LCM(539,5211) = 2808729 / 1
LCM(539,5211) = 2808729
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FAQs on GCF of Fractions of 7524/539, 3942/5211
1. What is the HCF of 7524,3942?
The HCF of 7524,3942 is 18
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 7524/539, 3942/5211?
Answer: GCF of Numerators as per given numbers 7524/539, 3942/5211 is
GCF of Numerators i.e. for 7524,3942 is 18
LCM of denominators i.e. for 539,5211 is 2808729.
Thus, GCF of Fractions is 18/2808729.Finally, GCF of Fractions for 7524/539, 3942/5211 is 18/2808729.