Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 707/40,774/15,156/77
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 707,774,156
Greatest Common Factor of Numerators i.e. GCF of 707,774,156 is 1 .
LCM of Denominators means LCM of 40,15,77 as per the given fractions.
LCM of 40,15,77 is 9240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 707,774,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
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
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 707,774,156 . The biggest common factor number is the GCF number.
So the greatest common factor 707,774,156 is 1.
Lets's calculate LCM of 40,15,77
5 | 40, 15, 77 |
8, 3, 77 |
∴ So the LCM of the given numbers is 5 x 8 x 3 x 77 = 9240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240
Therefore, the GCF of Fractions 707/40,774/15,156/77 is 1/9240
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 40,15,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,15,77) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(40,15,77) x common factors =1 x 5 = 5
LCM(40,15,77) = ( 40 × 15 × 77 ) / 5
LCM(40,15,77) = 46200 / 5
LCM(40,15,77) = 9240
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 707/40, 774/15, 156/77?
Answer: GCF of Numerators as per given numbers 707/40, 774/15, 156/77 is
GCF of Numerators i.e. for 707,774,156 is 1
LCM of denominators i.e. for 40,15,77 is 9240.
Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 707/40, 774/15, 156/77 is 1/9240.