Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 527/634,6001/387
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 527,6001
Greatest Common Factor of Numerators i.e. GCF of 527,6001 is 17 .
LCM of Denominators means LCM of 634,387 as per the given fractions.
LCM of 634,387 is 245358 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 527,6001
17 | 527, 6001 |
31, 353 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 6001
List of positive integer factors of 6001 that divides 6001 without a remainder.
1,17,353,6001
Greatest Common Factor
We found the factors 527,6001 . The biggest common factor number is the GCF number.
So the greatest common factor 527,6001 is 17.
Lets's calculate LCM of 634,387
Given numbers has no common factors except 1. So, there LCM is their product i.e 245358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/245358
Therefore, the GCF of Fractions 527/634,6001/387 is 17/245358
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 634,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,387) x common factors =1 x 1 = 1
LCM(634,387) = ( 634 × 387 ) / 1
LCM(634,387) = 245358 / 1
LCM(634,387) = 245358
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 527/634, 6001/387?
Answer: GCF of Numerators as per given numbers 527/634, 6001/387 is
GCF of Numerators i.e. for 527,6001 is 17
LCM of denominators i.e. for 634,387 is 245358.
Thus, GCF of Fractions is 17/245358.Finally, GCF of Fractions for 527/634, 6001/387 is 17/245358.