Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/68,26/21,35/364,791/952
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 3,26,35,791
Greatest Common Factor of Numerators i.e. GCF of 3,26,35,791 is 1 .
LCM of Denominators means LCM of 68,21,364,952 as per the given fractions.
LCM of 68,21,364,952 is 37128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,26,35,791
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Greatest Common Factor
We found the factors 3,26,35,791 . The biggest common factor number is the GCF number.
So the greatest common factor 3,26,35,791 is 1.
Lets's calculate LCM of 68,21,364,952
2 | 68, 21, 364, 952 |
2 | 34, 21, 182, 476 |
7 | 17, 21, 91, 238 |
17 | 17, 3, 13, 34 |
1, 3, 13, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 1 x 3 x 13 x 2 = 37128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37128
Therefore, the GCF of Fractions 3/68,26/21,35/364,791/952 is 1/37128
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 68,21,364,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,21,364,952) = 1
common factors(in case of two or more numbers have common factors) = 13328
GCF(68,21,364,952) x common factors =1 x 13328 = 13328
LCM(68,21,364,952) = ( 68 × 21 × 364 × 952 ) / 13328
LCM(68,21,364,952) = 494841984 / 13328
LCM(68,21,364,952) = 37128
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 3/68, 26/21, 35/364, 791/952?
Answer: GCF of Numerators as per given numbers 3/68, 26/21, 35/364, 791/952 is
GCF of Numerators i.e. for 3,26,35,791 is 1
LCM of denominators i.e. for 68,21,364,952 is 37128.
Thus, GCF of Fractions is 1/37128.Finally, GCF of Fractions for 3/68, 26/21, 35/364, 791/952 is 1/37128.