Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/50,642/213
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 962,642
Greatest Common Factor of Numerators i.e. GCF of 962,642 is 2 .
LCM of Denominators means LCM of 50,213 as per the given fractions.
LCM of 50,213 is 10650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 962,642
2 | 962, 642 |
481, 321 |
∴ So the GCF of the given numbers is 2 = 2
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 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 962,642 . The biggest common factor number is the GCF number.
So the greatest common factor 962,642 is 2.
Lets's calculate LCM of 50,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 10650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10650
Therefore, the GCF of Fractions 962/50,642/213 is 2/10650
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 50,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,213) x common factors =1 x 1 = 1
LCM(50,213) = ( 50 × 213 ) / 1
LCM(50,213) = 10650 / 1
LCM(50,213) = 10650
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 962/50, 642/213?
Answer: GCF of Numerators as per given numbers 962/50, 642/213 is
GCF of Numerators i.e. for 962,642 is 2
LCM of denominators i.e. for 50,213 is 10650.
Thus, GCF of Fractions is 2/10650.Finally, GCF of Fractions for 962/50, 642/213 is 2/10650.