Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/847,134/645,399/937
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 38,134,399
Greatest Common Factor of Numerators i.e. GCF of 38,134,399 is 1 .
LCM of Denominators means LCM of 847,645,937 as per the given fractions.
LCM of 847,645,937 is 511897155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,134,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 38,134,399 . The biggest common factor number is the GCF number.
So the greatest common factor 38,134,399 is 1.
Lets's calculate LCM of 847,645,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 511897155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511897155
Therefore, the GCF of Fractions 38/847,134/645,399/937 is 1/511897155
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 847,645,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,645,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,645,937) x common factors =1 x 1 = 1
LCM(847,645,937) = ( 847 × 645 × 937 ) / 1
LCM(847,645,937) = 511897155 / 1
LCM(847,645,937) = 511897155
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 38/847, 134/645, 399/937?
Answer: GCF of Numerators as per given numbers 38/847, 134/645, 399/937 is
GCF of Numerators i.e. for 38,134,399 is 1
LCM of denominators i.e. for 847,645,937 is 511897155.
Thus, GCF of Fractions is 1/511897155.Finally, GCF of Fractions for 38/847, 134/645, 399/937 is 1/511897155.