Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/145,6208/5043
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 97,6208
Greatest Common Factor of Numerators i.e. GCF of 97,6208 is 97 .
LCM of Denominators means LCM of 145,5043 as per the given fractions.
LCM of 145,5043 is 731235 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,6208
97 | 97, 6208 |
1, 64 |
∴ So the GCF of the given numbers is 97 = 97
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 6208
List of positive integer factors of 6208 that divides 6208 without a remainder.
1,2,4,8,16,32,64,97,194,388,776,1552,3104,6208
Greatest Common Factor
We found the factors 97,6208 . The biggest common factor number is the GCF number.
So the greatest common factor 97,6208 is 97.
Lets's calculate LCM of 145,5043
Given numbers has no common factors except 1. So, there LCM is their product i.e 731235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/731235
Therefore, the GCF of Fractions 97/145,6208/5043 is 97/731235
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 145,5043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,5043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,5043) x common factors =1 x 1 = 1
LCM(145,5043) = ( 145 × 5043 ) / 1
LCM(145,5043) = 731235 / 1
LCM(145,5043) = 731235
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 97/145, 6208/5043?
Answer: GCF of Numerators as per given numbers 97/145, 6208/5043 is
GCF of Numerators i.e. for 97,6208 is 97
LCM of denominators i.e. for 145,5043 is 731235.
Thus, GCF of Fractions is 97/731235.Finally, GCF of Fractions for 97/145, 6208/5043 is 97/731235.