Use our free GCF of Fractions Calculator tool to compute the GCF of 3588/520, 5152/8172 i.e 92/1062360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3588/520, 5152/8172.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3588/520,5152/8172
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 3588/520,5152/8172, numerators are 3588,5152
Denominators are 520,8172
The GCF of 3588,5152 is 92 .
LCM of 520,8172 is 1062360.
The greatest common factor of 3588/520,5152/8172 = [GCF of 3588,5152]/[LCM of 520,8172]= 92/1062360
Therefore, the GCF of 3588/520,5152/8172 is 92/1062360.
To find the highest common factor of 3588,5152, we have to find the factors of both numbers and list the highest common factor.
The factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The HCF of 3588,5152 is 92.
Lets's calculate GCF of 3588,5152
2 | 3588, 5152 |
2 | 1794, 2576 |
23 | 897, 1288 |
39, 56 |
∴ So the GCF of the given numbers is 2 x 2 x 23 = 92
Now, list down the factors of 3588
:1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Greatest Common Factor
We found the factors 3588,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 3588,5152 is 92.
Lets's calculate LCM of 520,8172
2 | 520, 8172 |
2 | 260, 4086 |
130, 2043 |
∴ So the LCM of the given numbers is 2 x 2 x 130 x 2043 = 1062360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/1062360
Therefore, the GCF of Fractions 3588/520,5152/8172 is 92/1062360
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 520,8172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,8172) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(520,8172) x common factors =4 x 1 = 4
LCM(520,8172) = ( 520 × 8172 ) / 4
LCM(520,8172) = 4249440 / 4
LCM(520,8172) = 1062360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3588,5152?
The HCF of 3588,5152 is 92
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 3588/520, 5152/8172?
Answer: GCF of Numerators as per given numbers 3588/520, 5152/8172 is
GCF of Numerators i.e. for 3588,5152 is 92
LCM of denominators i.e. for 520,8172 is 1062360.
Thus, GCF of Fractions is 92/1062360.Finally, GCF of Fractions for 3588/520, 5152/8172 is 92/1062360.