Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 139/55,2283/772
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 139,2283
Greatest Common Factor of Numerators i.e. GCF of 139,2283 is 1 .
LCM of Denominators means LCM of 55,772 as per the given fractions.
LCM of 55,772 is 42460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 139,2283
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 2283
List of positive integer factors of 2283 that divides 2283 without a remainder.
1,3,761,2283
Greatest Common Factor
We found the factors 139,2283 . The biggest common factor number is the GCF number.
So the greatest common factor 139,2283 is 1.
Lets's calculate LCM of 55,772
Given numbers has no common factors except 1. So, there LCM is their product i.e 42460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42460
Therefore, the GCF of Fractions 139/55,2283/772 is 1/42460
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 55,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,772) x common factors =1 x 1 = 1
LCM(55,772) = ( 55 × 772 ) / 1
LCM(55,772) = 42460 / 1
LCM(55,772) = 42460
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 139/55, 2283/772?
Answer: GCF of Numerators as per given numbers 139/55, 2283/772 is
GCF of Numerators i.e. for 139,2283 is 1
LCM of denominators i.e. for 55,772 is 42460.
Thus, GCF of Fractions is 1/42460.Finally, GCF of Fractions for 139/55, 2283/772 is 1/42460.