Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 987/361,732/499,684/617
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 987,732,684
Greatest Common Factor of Numerators i.e. GCF of 987,732,684 is 3 .
LCM of Denominators means LCM of 361,499,617 as per the given fractions.
LCM of 361,499,617 is 111145763 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 987,732,684
3 | 987, 732, 684 |
329, 244, 228 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 987,732,684 . The biggest common factor number is the GCF number.
So the greatest common factor 987,732,684 is 3.
Lets's calculate LCM of 361,499,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 111145763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111145763
Therefore, the GCF of Fractions 987/361,732/499,684/617 is 3/111145763
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 361,499,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,499,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,499,617) x common factors =1 x 1 = 1
LCM(361,499,617) = ( 361 × 499 × 617 ) / 1
LCM(361,499,617) = 111145763 / 1
LCM(361,499,617) = 111145763
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 987/361, 732/499, 684/617?
Answer: GCF of Numerators as per given numbers 987/361, 732/499, 684/617 is
GCF of Numerators i.e. for 987,732,684 is 3
LCM of denominators i.e. for 361,499,617 is 111145763.
Thus, GCF of Fractions is 3/111145763.Finally, GCF of Fractions for 987/361, 732/499, 684/617 is 3/111145763.