Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/25,688/45,537/426
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 36,688,537
Greatest Common Factor of Numerators i.e. GCF of 36,688,537 is 1 .
LCM of Denominators means LCM of 25,45,426 as per the given fractions.
LCM of 25,45,426 is 31950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,688,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
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
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 36,688,537 . The biggest common factor number is the GCF number.
So the greatest common factor 36,688,537 is 1.
Lets's calculate LCM of 25,45,426
3 | 25, 45, 426 |
5 | 25, 15, 142 |
5, 3, 142 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 3 x 142 = 31950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31950
Therefore, the GCF of Fractions 36/25,688/45,537/426 is 1/31950
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 25,45,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,45,426) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(25,45,426) x common factors =1 x 15 = 15
LCM(25,45,426) = ( 25 × 45 × 426 ) / 15
LCM(25,45,426) = 479250 / 15
LCM(25,45,426) = 31950
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 36/25, 688/45, 537/426?
Answer: GCF of Numerators as per given numbers 36/25, 688/45, 537/426 is
GCF of Numerators i.e. for 36,688,537 is 1
LCM of denominators i.e. for 25,45,426 is 31950.
Thus, GCF of Fractions is 1/31950.Finally, GCF of Fractions for 36/25, 688/45, 537/426 is 1/31950.