Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 651/19,972/758
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 651,972
Greatest Common Factor of Numerators i.e. GCF of 651,972 is 3 .
LCM of Denominators means LCM of 19,758 as per the given fractions.
LCM of 19,758 is 14402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 651,972
3 | 651, 972 |
217, 324 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 651,972 . The biggest common factor number is the GCF number.
So the greatest common factor 651,972 is 3.
Lets's calculate LCM of 19,758
Given numbers has no common factors except 1. So, there LCM is their product i.e 14402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14402
Therefore, the GCF of Fractions 651/19,972/758 is 3/14402
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 19,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,758) x common factors =1 x 1 = 1
LCM(19,758) = ( 19 × 758 ) / 1
LCM(19,758) = 14402 / 1
LCM(19,758) = 14402
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 651/19, 972/758?
Answer: GCF of Numerators as per given numbers 651/19, 972/758 is
GCF of Numerators i.e. for 651,972 is 3
LCM of denominators i.e. for 19,758 is 14402.
Thus, GCF of Fractions is 3/14402.Finally, GCF of Fractions for 651/19, 972/758 is 3/14402.