Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2903/658,9208/177
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 2903,9208
Greatest Common Factor of Numerators i.e. GCF of 2903,9208 is 1 .
LCM of Denominators means LCM of 658,177 as per the given fractions.
LCM of 658,177 is 116466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2903,9208
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2903
List of positive integer factors of 2903 that divides 2903 without a remainder.
1,2903
Factors of 9208
List of positive integer factors of 9208 that divides 9208 without a remainder.
1,2,4,8,1151,2302,4604,9208
Greatest Common Factor
We found the factors 2903,9208 . The biggest common factor number is the GCF number.
So the greatest common factor 2903,9208 is 1.
Lets's calculate LCM of 658,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 116466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116466
Therefore, the GCF of Fractions 2903/658,9208/177 is 1/116466
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 658,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,177) x common factors =1 x 1 = 1
LCM(658,177) = ( 658 × 177 ) / 1
LCM(658,177) = 116466 / 1
LCM(658,177) = 116466
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 2903/658, 9208/177?
Answer: GCF of Numerators as per given numbers 2903/658, 9208/177 is
GCF of Numerators i.e. for 2903,9208 is 1
LCM of denominators i.e. for 658,177 is 116466.
Thus, GCF of Fractions is 1/116466.Finally, GCF of Fractions for 2903/658, 9208/177 is 1/116466.