Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 912/862,9409/139
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 912,9409
Greatest Common Factor of Numerators i.e. GCF of 912,9409 is 1 .
LCM of Denominators means LCM of 862,139 as per the given fractions.
LCM of 862,139 is 119818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 912,9409
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 9409
List of positive integer factors of 9409 that divides 9409 without a remainder.
1,97,9409
Greatest Common Factor
We found the factors 912,9409 . The biggest common factor number is the GCF number.
So the greatest common factor 912,9409 is 1.
Lets's calculate LCM of 862,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 119818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119818
Therefore, the GCF of Fractions 912/862,9409/139 is 1/119818
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 862,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,139) x common factors =1 x 1 = 1
LCM(862,139) = ( 862 × 139 ) / 1
LCM(862,139) = 119818 / 1
LCM(862,139) = 119818
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 912/862, 9409/139?
Answer: GCF of Numerators as per given numbers 912/862, 9409/139 is
GCF of Numerators i.e. for 912,9409 is 1
LCM of denominators i.e. for 862,139 is 119818.
Thus, GCF of Fractions is 1/119818.Finally, GCF of Fractions for 912/862, 9409/139 is 1/119818.