Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/7274,949/4382
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 962,949
Greatest Common Factor of Numerators i.e. GCF of 962,949 is 13 .
LCM of Denominators means LCM of 7274,4382 as per the given fractions.
LCM of 7274,4382 is 15937334 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 962,949
13 | 962, 949 |
74, 73 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Greatest Common Factor
We found the factors 962,949 . The biggest common factor number is the GCF number.
So the greatest common factor 962,949 is 13.
Lets's calculate LCM of 7274,4382
2 | 7274, 4382 |
3637, 2191 |
∴ So the LCM of the given numbers is 2 x 3637 x 2191 = 15937334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/15937334
Therefore, the GCF of Fractions 962/7274,949/4382 is 13/15937334
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 7274,4382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7274,4382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7274,4382) x common factors =2 x 1 = 2
LCM(7274,4382) = ( 7274 × 4382 ) / 2
LCM(7274,4382) = 31874668 / 2
LCM(7274,4382) = 15937334
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 962/7274, 949/4382?
Answer: GCF of Numerators as per given numbers 962/7274, 949/4382 is
GCF of Numerators i.e. for 962,949 is 13
LCM of denominators i.e. for 7274,4382 is 15937334.
Thus, GCF of Fractions is 13/15937334.Finally, GCF of Fractions for 962/7274, 949/4382 is 13/15937334.