Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/93,154/85,774/79
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 4,154,774
Greatest Common Factor of Numerators i.e. GCF of 4,154,774 is 2 .
LCM of Denominators means LCM of 93,85,79 as per the given fractions.
LCM of 93,85,79 is 624495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,154,774
2 | 4, 154, 774 |
2, 77, 387 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 4,154,774 . The biggest common factor number is the GCF number.
So the greatest common factor 4,154,774 is 2.
Lets's calculate LCM of 93,85,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 624495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/624495
Therefore, the GCF of Fractions 4/93,154/85,774/79 is 2/624495
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 93,85,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,85,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,85,79) x common factors =1 x 1 = 1
LCM(93,85,79) = ( 93 × 85 × 79 ) / 1
LCM(93,85,79) = 624495 / 1
LCM(93,85,79) = 624495
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 4/93, 154/85, 774/79?
Answer: GCF of Numerators as per given numbers 4/93, 154/85, 774/79 is
GCF of Numerators i.e. for 4,154,774 is 2
LCM of denominators i.e. for 93,85,79 is 624495.
Thus, GCF of Fractions is 2/624495.Finally, GCF of Fractions for 4/93, 154/85, 774/79 is 2/624495.