Use our free GCF of Fractions Calculator tool to compute the GCF of 5488/754, 3552/2730 i.e 16/79170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5488/754, 3552/2730.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5488/754,3552/2730
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 5488/754,3552/2730, numerators are 5488,3552
Denominators are 754,2730
The GCF of 5488,3552 is 16 .
LCM of 754,2730 is 79170.
The greatest common factor of 5488/754,3552/2730 = [GCF of 5488,3552]/[LCM of 754,2730]= 16/79170
Therefore, the GCF of 5488/754,3552/2730 is 16/79170.
To find the highest common factor of 5488,3552, we have to find the factors of both numbers and list the highest common factor.
The factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488
The factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552
The HCF of 5488,3552 is 16.
Lets's calculate GCF of 5488,3552
2 | 5488, 3552 |
2 | 2744, 1776 |
2 | 1372, 888 |
2 | 686, 444 |
343, 222 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 5488
:1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488
Now, list down the factors of 3552
:1,2,3,4,6,8,12,16,24,32,37,48,74,96,111,148,222,296,444,592,888,1184,1776,3552
Greatest Common Factor
We found the factors 5488,3552 . The biggest common factor number is the GCF number.
So the greatest common factor 5488,3552 is 16.
Lets's calculate LCM of 754,2730
2 | 754, 2730 |
13 | 377, 1365 |
29, 105 |
∴ So the LCM of the given numbers is 2 x 13 x 29 x 105 = 79170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/79170
Therefore, the GCF of Fractions 5488/754,3552/2730 is 16/79170
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 754,2730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,2730) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(754,2730) x common factors =26 x 1 = 26
LCM(754,2730) = ( 754 × 2730 ) / 26
LCM(754,2730) = 2058420 / 26
LCM(754,2730) = 79170
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5488,3552?
The HCF of 5488,3552 is 16
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 5488/754, 3552/2730?
Answer: GCF of Numerators as per given numbers 5488/754, 3552/2730 is
GCF of Numerators i.e. for 5488,3552 is 16
LCM of denominators i.e. for 754,2730 is 79170.
Thus, GCF of Fractions is 16/79170.Finally, GCF of Fractions for 5488/754, 3552/2730 is 16/79170.