Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4152/979,9174/4094
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 4152,9174
Greatest Common Factor of Numerators i.e. GCF of 4152,9174 is 6 .
LCM of Denominators means LCM of 979,4094 as per the given fractions.
LCM of 979,4094 is 45034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4152,9174
2 | 4152, 9174 |
3 | 2076, 4587 |
692, 1529 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4152
List of positive integer factors of 4152 that divides 4152 without a remainder.
1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152
Factors of 9174
List of positive integer factors of 9174 that divides 9174 without a remainder.
1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174
Greatest Common Factor
We found the factors 4152,9174 . The biggest common factor number is the GCF number.
So the greatest common factor 4152,9174 is 6.
Lets's calculate LCM of 979,4094
89 | 979, 4094 |
11, 46 |
∴ So the LCM of the given numbers is 89 x 11 x 46 = 45034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/45034
Therefore, the GCF of Fractions 4152/979,9174/4094 is 6/45034
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 979,4094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,4094) = 89
common factors(in case of two or more numbers have common factors) = 1
GCF(979,4094) x common factors =89 x 1 = 89
LCM(979,4094) = ( 979 × 4094 ) / 89
LCM(979,4094) = 4008026 / 89
LCM(979,4094) = 45034
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 4152/979, 9174/4094?
Answer: GCF of Numerators as per given numbers 4152/979, 9174/4094 is
GCF of Numerators i.e. for 4152,9174 is 6
LCM of denominators i.e. for 979,4094 is 45034.
Thus, GCF of Fractions is 6/45034.Finally, GCF of Fractions for 4152/979, 9174/4094 is 6/45034.