Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/799,152/980,186/680
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 60,152,186
Greatest Common Factor of Numerators i.e. GCF of 60,152,186 is 2 .
LCM of Denominators means LCM of 799,980,680 as per the given fractions.
LCM of 799,980,680 is 1566040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,152,186
2 | 60, 152, 186 |
30, 76, 93 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 60,152,186 . The biggest common factor number is the GCF number.
So the greatest common factor 60,152,186 is 2.
Lets's calculate LCM of 799,980,680
2 | 799, 980, 680 |
2 | 799, 490, 340 |
5 | 799, 245, 170 |
17 | 799, 49, 34 |
47, 49, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 47 x 49 x 2 = 1566040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1566040
Therefore, the GCF of Fractions 60/799,152/980,186/680 is 2/1566040
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 799,980,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,980,680) = 1
common factors(in case of two or more numbers have common factors) = 340
GCF(799,980,680) x common factors =1 x 340 = 340
LCM(799,980,680) = ( 799 × 980 × 680 ) / 340
LCM(799,980,680) = 532453600 / 340
LCM(799,980,680) = 1566040
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 60/799, 152/980, 186/680?
Answer: GCF of Numerators as per given numbers 60/799, 152/980, 186/680 is
GCF of Numerators i.e. for 60,152,186 is 2
LCM of denominators i.e. for 799,980,680 is 1566040.
Thus, GCF of Fractions is 2/1566040.Finally, GCF of Fractions for 60/799, 152/980, 186/680 is 2/1566040.