Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8688/525,9632/1178
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8688,9632
Greatest Common Factor of Numerators i.e. GCF of 8688,9632 is 16 .
LCM of Denominators means LCM of 525,1178 as per the given fractions.
LCM of 525,1178 is 618450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8688,9632
2 | 8688, 9632 |
2 | 4344, 4816 |
2 | 2172, 2408 |
2 | 1086, 1204 |
543, 602 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 8688
List of positive integer factors of 8688 that divides 8688 without a remainder.
1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688
Factors of 9632
List of positive integer factors of 9632 that divides 9632 without a remainder.
1,2,4,7,8,14,16,28,32,43,56,86,112,172,224,301,344,602,688,1204,1376,2408,4816,9632
Greatest Common Factor
We found the factors 8688,9632 . The biggest common factor number is the GCF number.
So the greatest common factor 8688,9632 is 16.
Lets's calculate LCM of 525,1178
Given numbers has no common factors except 1. So, there LCM is their product i.e 618450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/618450
Therefore, the GCF of Fractions 8688/525,9632/1178 is 16/618450
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 525,1178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,1178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,1178) x common factors =1 x 1 = 1
LCM(525,1178) = ( 525 × 1178 ) / 1
LCM(525,1178) = 618450 / 1
LCM(525,1178) = 618450
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 8688/525, 9632/1178?
Answer: GCF of Numerators as per given numbers 8688/525, 9632/1178 is
GCF of Numerators i.e. for 8688,9632 is 16
LCM of denominators i.e. for 525,1178 is 618450.
Thus, GCF of Fractions is 16/618450.Finally, GCF of Fractions for 8688/525, 9632/1178 is 16/618450.