Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 870/867,763/922,312/714
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 870,763,312
Greatest Common Factor of Numerators i.e. GCF of 870,763,312 is 1 .
LCM of Denominators means LCM of 867,922,714 as per the given fractions.
LCM of 867,922,714 is 5595618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 870,763,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 870,763,312 . The biggest common factor number is the GCF number.
So the greatest common factor 870,763,312 is 1.
Lets's calculate LCM of 867,922,714
2 | 867, 922, 714 |
3 | 867, 461, 357 |
17 | 289, 461, 119 |
17, 461, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 17 x 461 x 7 = 5595618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5595618
Therefore, the GCF of Fractions 870/867,763/922,312/714 is 1/5595618
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 867,922,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,922,714) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(867,922,714) x common factors =1 x 102 = 102
LCM(867,922,714) = ( 867 × 922 × 714 ) / 102
LCM(867,922,714) = 570753036 / 102
LCM(867,922,714) = 5595618
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 870/867, 763/922, 312/714?
Answer: GCF of Numerators as per given numbers 870/867, 763/922, 312/714 is
GCF of Numerators i.e. for 870,763,312 is 1
LCM of denominators i.e. for 867,922,714 is 5595618.
Thus, GCF of Fractions is 1/5595618.Finally, GCF of Fractions for 870/867, 763/922, 312/714 is 1/5595618.