Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 959/8694,746/7774
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 959,746
Greatest Common Factor of Numerators i.e. GCF of 959,746 is 1 .
LCM of Denominators means LCM of 8694,7774 as per the given fractions.
LCM of 8694,7774 is 1469286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 959,746
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Greatest Common Factor
We found the factors 959,746 . The biggest common factor number is the GCF number.
So the greatest common factor 959,746 is 1.
Lets's calculate LCM of 8694,7774
2 | 8694, 7774 |
23 | 4347, 3887 |
189, 169 |
∴ So the LCM of the given numbers is 2 x 23 x 189 x 169 = 1469286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1469286
Therefore, the GCF of Fractions 959/8694,746/7774 is 1/1469286
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 8694,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8694,7774) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(8694,7774) x common factors =46 x 1 = 46
LCM(8694,7774) = ( 8694 × 7774 ) / 46
LCM(8694,7774) = 67587156 / 46
LCM(8694,7774) = 1469286
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 959/8694, 746/7774?
Answer: GCF of Numerators as per given numbers 959/8694, 746/7774 is
GCF of Numerators i.e. for 959,746 is 1
LCM of denominators i.e. for 8694,7774 is 1469286.
Thus, GCF of Fractions is 1/1469286.Finally, GCF of Fractions for 959/8694, 746/7774 is 1/1469286.