Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/634,4612/6203
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 94,4612
Greatest Common Factor of Numerators i.e. GCF of 94,4612 is 2 .
LCM of Denominators means LCM of 634,6203 as per the given fractions.
LCM of 634,6203 is 3932702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,4612
2 | 94, 4612 |
47, 2306 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 4612
List of positive integer factors of 4612 that divides 4612 without a remainder.
1,2,4,1153,2306,4612
Greatest Common Factor
We found the factors 94,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 94,4612 is 2.
Lets's calculate LCM of 634,6203
Given numbers has no common factors except 1. So, there LCM is their product i.e 3932702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3932702
Therefore, the GCF of Fractions 94/634,4612/6203 is 2/3932702
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 634,6203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,6203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,6203) x common factors =1 x 1 = 1
LCM(634,6203) = ( 634 × 6203 ) / 1
LCM(634,6203) = 3932702 / 1
LCM(634,6203) = 3932702
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 94/634, 4612/6203?
Answer: GCF of Numerators as per given numbers 94/634, 4612/6203 is
GCF of Numerators i.e. for 94,4612 is 2
LCM of denominators i.e. for 634,6203 is 3932702.
Thus, GCF of Fractions is 2/3932702.Finally, GCF of Fractions for 94/634, 4612/6203 is 2/3932702.