Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 152/199,858/335,988/143
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 152,858,988
Greatest Common Factor of Numerators i.e. GCF of 152,858,988 is 2 .
LCM of Denominators means LCM of 199,335,143 as per the given fractions.
LCM of 199,335,143 is 9533095 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 152,858,988
2 | 152, 858, 988 |
76, 429, 494 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 152,858,988 . The biggest common factor number is the GCF number.
So the greatest common factor 152,858,988 is 2.
Lets's calculate LCM of 199,335,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 9533095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9533095
Therefore, the GCF of Fractions 152/199,858/335,988/143 is 2/9533095
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 199,335,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,335,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,335,143) x common factors =1 x 1 = 1
LCM(199,335,143) = ( 199 × 335 × 143 ) / 1
LCM(199,335,143) = 9533095 / 1
LCM(199,335,143) = 9533095
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 152/199, 858/335, 988/143?
Answer: GCF of Numerators as per given numbers 152/199, 858/335, 988/143 is
GCF of Numerators i.e. for 152,858,988 is 2
LCM of denominators i.e. for 199,335,143 is 9533095.
Thus, GCF of Fractions is 2/9533095.Finally, GCF of Fractions for 152/199, 858/335, 988/143 is 2/9533095.