Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 418/94,664/63,502/91
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 418,664,502
Greatest Common Factor of Numerators i.e. GCF of 418,664,502 is 2 .
LCM of Denominators means LCM of 94,63,91 as per the given fractions.
LCM of 94,63,91 is 76986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 418,664,502
2 | 418, 664, 502 |
209, 332, 251 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Greatest Common Factor
We found the factors 418,664,502 . The biggest common factor number is the GCF number.
So the greatest common factor 418,664,502 is 2.
Lets's calculate LCM of 94,63,91
7 | 94, 63, 91 |
94, 9, 13 |
∴ So the LCM of the given numbers is 7 x 94 x 9 x 13 = 76986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76986
Therefore, the GCF of Fractions 418/94,664/63,502/91 is 2/76986
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 94,63,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,63,91) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(94,63,91) x common factors =1 x 7 = 7
LCM(94,63,91) = ( 94 × 63 × 91 ) / 7
LCM(94,63,91) = 538902 / 7
LCM(94,63,91) = 76986
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 418/94, 664/63, 502/91?
Answer: GCF of Numerators as per given numbers 418/94, 664/63, 502/91 is
GCF of Numerators i.e. for 418,664,502 is 2
LCM of denominators i.e. for 94,63,91 is 76986.
Thus, GCF of Fractions is 2/76986.Finally, GCF of Fractions for 418/94, 664/63, 502/91 is 2/76986.