Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8964/478,1707/980
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 8964,1707
Greatest Common Factor of Numerators i.e. GCF of 8964,1707 is 3 .
LCM of Denominators means LCM of 478,980 as per the given fractions.
LCM of 478,980 is 234220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8964,1707
3 | 8964, 1707 |
2988, 569 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8964
List of positive integer factors of 8964 that divides 8964 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964
Factors of 1707
List of positive integer factors of 1707 that divides 1707 without a remainder.
1,3,569,1707
Greatest Common Factor
We found the factors 8964,1707 . The biggest common factor number is the GCF number.
So the greatest common factor 8964,1707 is 3.
Lets's calculate LCM of 478,980
2 | 478, 980 |
239, 490 |
∴ So the LCM of the given numbers is 2 x 239 x 490 = 234220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/234220
Therefore, the GCF of Fractions 8964/478,1707/980 is 3/234220
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 478,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,980) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,980) x common factors =2 x 1 = 2
LCM(478,980) = ( 478 × 980 ) / 2
LCM(478,980) = 468440 / 2
LCM(478,980) = 234220
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 8964/478, 1707/980?
Answer: GCF of Numerators as per given numbers 8964/478, 1707/980 is
GCF of Numerators i.e. for 8964,1707 is 3
LCM of denominators i.e. for 478,980 is 234220.
Thus, GCF of Fractions is 3/234220.Finally, GCF of Fractions for 8964/478, 1707/980 is 3/234220.