Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 678/98,190/42,917/186
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 678,190,917
Greatest Common Factor of Numerators i.e. GCF of 678,190,917 is 1 .
LCM of Denominators means LCM of 98,42,186 as per the given fractions.
LCM of 98,42,186 is 9114 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 678,190,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 678,190,917 . The biggest common factor number is the GCF number.
So the greatest common factor 678,190,917 is 1.
Lets's calculate LCM of 98,42,186
2 | 98, 42, 186 |
3 | 49, 21, 93 |
7 | 49, 7, 31 |
1, 7, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 7 x 31 = 9114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9114
Therefore, the GCF of Fractions 678/98,190/42,917/186 is 1/9114
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 98,42,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,42,186) = 2
common factors(in case of two or more numbers have common factors) = 42
GCF(98,42,186) x common factors =2 x 42 = 84
LCM(98,42,186) = ( 98 × 42 × 186 ) / 84
LCM(98,42,186) = 765576 / 84
LCM(98,42,186) = 9114
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 678/98, 190/42, 917/186?
Answer: GCF of Numerators as per given numbers 678/98, 190/42, 917/186 is
GCF of Numerators i.e. for 678,190,917 is 1
LCM of denominators i.e. for 98,42,186 is 9114.
Thus, GCF of Fractions is 1/9114.Finally, GCF of Fractions for 678/98, 190/42, 917/186 is 1/9114.