Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/67,57/26,152/175
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 38,57,152
Greatest Common Factor of Numerators i.e. GCF of 38,57,152 is 19 .
LCM of Denominators means LCM of 67,26,175 as per the given fractions.
LCM of 67,26,175 is 304850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,57,152
19 | 38, 57, 152 |
2, 3, 8 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 38,57,152 . The biggest common factor number is the GCF number.
So the greatest common factor 38,57,152 is 19.
Lets's calculate LCM of 67,26,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 304850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/304850
Therefore, the GCF of Fractions 38/67,57/26,152/175 is 19/304850
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 67,26,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,26,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,26,175) x common factors =1 x 1 = 1
LCM(67,26,175) = ( 67 × 26 × 175 ) / 1
LCM(67,26,175) = 304850 / 1
LCM(67,26,175) = 304850
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 38/67, 57/26, 152/175?
Answer: GCF of Numerators as per given numbers 38/67, 57/26, 152/175 is
GCF of Numerators i.e. for 38,57,152 is 19
LCM of denominators i.e. for 67,26,175 is 304850.
Thus, GCF of Fractions is 19/304850.Finally, GCF of Fractions for 38/67, 57/26, 152/175 is 19/304850.