Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9256/669,1562/634
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 9256,1562
Greatest Common Factor of Numerators i.e. GCF of 9256,1562 is 2 .
LCM of Denominators means LCM of 669,634 as per the given fractions.
LCM of 669,634 is 424146 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9256,1562
2 | 9256, 1562 |
4628, 781 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9256
List of positive integer factors of 9256 that divides 9256 without a remainder.
1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256
Factors of 1562
List of positive integer factors of 1562 that divides 1562 without a remainder.
1,2,11,22,71,142,781,1562
Greatest Common Factor
We found the factors 9256,1562 . The biggest common factor number is the GCF number.
So the greatest common factor 9256,1562 is 2.
Lets's calculate LCM of 669,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 424146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/424146
Therefore, the GCF of Fractions 9256/669,1562/634 is 2/424146
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 669,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,634) x common factors =1 x 1 = 1
LCM(669,634) = ( 669 × 634 ) / 1
LCM(669,634) = 424146 / 1
LCM(669,634) = 424146
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 9256/669, 1562/634?
Answer: GCF of Numerators as per given numbers 9256/669, 1562/634 is
GCF of Numerators i.e. for 9256,1562 is 2
LCM of denominators i.e. for 669,634 is 424146.
Thus, GCF of Fractions is 2/424146.Finally, GCF of Fractions for 9256/669, 1562/634 is 2/424146.