Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/85,92/67,88/50,15/737
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 94,92,88,15
Greatest Common Factor of Numerators i.e. GCF of 94,92,88,15 is 1 .
LCM of Denominators means LCM of 85,67,50,737 as per the given fractions.
LCM of 85,67,50,737 is 626450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,92,88,15
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors 94,92,88,15 . The biggest common factor number is the GCF number.
So the greatest common factor 94,92,88,15 is 1.
Lets's calculate LCM of 85,67,50,737
5 | 85, 67, 50, 737 |
67 | 17, 67, 10, 737 |
17, 1, 10, 11 |
∴ So the LCM of the given numbers is 5 x 67 x 17 x 1 x 10 x 11 = 626450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/626450
Therefore, the GCF of Fractions 94/85,92/67,88/50,15/737 is 1/626450
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 85,67,50,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,67,50,737) = 1
common factors(in case of two or more numbers have common factors) = 335
GCF(85,67,50,737) x common factors =1 x 335 = 335
LCM(85,67,50,737) = ( 85 × 67 × 50 × 737 ) / 335
LCM(85,67,50,737) = 209860750 / 335
LCM(85,67,50,737) = 626450
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 94/85, 92/67, 88/50, 15/737?
Answer: GCF of Numerators as per given numbers 94/85, 92/67, 88/50, 15/737 is
GCF of Numerators i.e. for 94,92,88,15 is 1
LCM of denominators i.e. for 85,67,50,737 is 626450.
Thus, GCF of Fractions is 1/626450.Finally, GCF of Fractions for 94/85, 92/67, 88/50, 15/737 is 1/626450.