Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/28,68/29,688/138
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 37,68,688
Greatest Common Factor of Numerators i.e. GCF of 37,68,688 is 1 .
LCM of Denominators means LCM of 28,29,138 as per the given fractions.
LCM of 28,29,138 is 56028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 37,68,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 37,68,688 . The biggest common factor number is the GCF number.
So the greatest common factor 37,68,688 is 1.
Lets's calculate LCM of 28,29,138
2 | 28, 29, 138 |
14, 29, 69 |
∴ So the LCM of the given numbers is 2 x 14 x 29 x 69 = 56028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56028
Therefore, the GCF of Fractions 37/28,68/29,688/138 is 1/56028
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 28,29,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,29,138) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(28,29,138) x common factors =1 x 2 = 2
LCM(28,29,138) = ( 28 × 29 × 138 ) / 2
LCM(28,29,138) = 112056 / 2
LCM(28,29,138) = 56028
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 37/28, 68/29, 688/138?
Answer: GCF of Numerators as per given numbers 37/28, 68/29, 688/138 is
GCF of Numerators i.e. for 37,68,688 is 1
LCM of denominators i.e. for 28,29,138 is 56028.
Thus, GCF of Fractions is 1/56028.Finally, GCF of Fractions for 37/28, 68/29, 688/138 is 1/56028.