Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/67,527/2299
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 635,527
Greatest Common Factor of Numerators i.e. GCF of 635,527 is 1 .
LCM of Denominators means LCM of 67,2299 as per the given fractions.
LCM of 67,2299 is 154033 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 635,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 635,527 . The biggest common factor number is the GCF number.
So the greatest common factor 635,527 is 1.
Lets's calculate LCM of 67,2299
Given numbers has no common factors except 1. So, there LCM is their product i.e 154033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154033
Therefore, the GCF of Fractions 635/67,527/2299 is 1/154033
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 67,2299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,2299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,2299) x common factors =1 x 1 = 1
LCM(67,2299) = ( 67 × 2299 ) / 1
LCM(67,2299) = 154033 / 1
LCM(67,2299) = 154033
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 635/67, 527/2299?
Answer: GCF of Numerators as per given numbers 635/67, 527/2299 is
GCF of Numerators i.e. for 635,527 is 1
LCM of denominators i.e. for 67,2299 is 154033.
Thus, GCF of Fractions is 1/154033.Finally, GCF of Fractions for 635/67, 527/2299 is 1/154033.