Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2888/634,2198/121
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 2888,2198
Greatest Common Factor of Numerators i.e. GCF of 2888,2198 is 2 .
LCM of Denominators means LCM of 634,121 as per the given fractions.
LCM of 634,121 is 76714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2888,2198
2 | 2888, 2198 |
1444, 1099 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2888
List of positive integer factors of 2888 that divides 2888 without a remainder.
1,2,4,8,19,38,76,152,361,722,1444,2888
Factors of 2198
List of positive integer factors of 2198 that divides 2198 without a remainder.
1,2,7,14,157,314,1099,2198
Greatest Common Factor
We found the factors 2888,2198 . The biggest common factor number is the GCF number.
So the greatest common factor 2888,2198 is 2.
Lets's calculate LCM of 634,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 76714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76714
Therefore, the GCF of Fractions 2888/634,2198/121 is 2/76714
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 634,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,121) x common factors =1 x 1 = 1
LCM(634,121) = ( 634 × 121 ) / 1
LCM(634,121) = 76714 / 1
LCM(634,121) = 76714
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 2888/634, 2198/121?
Answer: GCF of Numerators as per given numbers 2888/634, 2198/121 is
GCF of Numerators i.e. for 2888,2198 is 2
LCM of denominators i.e. for 634,121 is 76714.
Thus, GCF of Fractions is 2/76714.Finally, GCF of Fractions for 2888/634, 2198/121 is 2/76714.