GCF of 3984/532, 4356/2542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3984/532, 4356/2542 i.e 12/676172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3984/532, 4356/2542.
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 3984/532,4356/2542?
Given fractions are 3984/532,4356/2542
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 3984/532,4356/2542, numerators are 3984,4356
Denominators are 532,2542
The GCF of 3984,4356 is 12 .
LCM of 532,2542 is 676172.
The greatest common factor of 3984/532,4356/2542 = [GCF of 3984,4356]/[LCM of 532,2542]= 12/676172
Therefore, the GCF of 3984/532,4356/2542 is 12/676172.
To find the highest common factor of 3984,4356, we have to find the factors of both numbers and list the highest common factor.
The factors of 3984 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984
The factors of 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356
The HCF of 3984,4356 is 12.
Lets's calculate GCF of 3984,4356
| 2 | 3984, 4356 |
| 2 | 1992, 2178 |
| 3 | 996, 1089 |
| 332, 363 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3984,4356 By Matching Biggest Common Factor Method
Now, list down the factors of 3984
:1,2,3,4,6,8,12,16,24,48,83,166,249,332,498,664,996,1328,1992,3984
Now, list down the factors of 4356
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356
Greatest Common Factor
We found the factors 3984,4356 . The biggest common factor number is the GCF number.
So the greatest common factor 3984,4356 is 12.
Lets's calculate LCM of 532,2542
| 2 | 532, 2542 |
| 266, 1271 |
∴ So the LCM of the given numbers is 2 x 266 x 1271 = 676172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/676172
Therefore, the GCF of Fractions 3984/532,4356/2542 is 12/676172
Least Common Multiple of 532,2542 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 532,2542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,2542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(532,2542) x common factors =2 x 1 = 2
LCM(532,2542) = ( 532 × 2542 ) / 2
LCM(532,2542) = 1352344 / 2
LCM(532,2542) = 676172
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FAQs on GCF of Fractions of 3984/532, 4356/2542
1. What is the HCF of 3984,4356?
The HCF of 3984,4356 is 12
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 3984/532, 4356/2542?
Answer: GCF of Numerators as per given numbers 3984/532, 4356/2542 is
GCF of Numerators i.e. for 3984,4356 is 12
LCM of denominators i.e. for 532,2542 is 676172.
Thus, GCF of Fractions is 12/676172.Finally, GCF of Fractions for 3984/532, 4356/2542 is 12/676172.