Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/371,376/895,417/349
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 72,376,417
Greatest Common Factor of Numerators i.e. GCF of 72,376,417 is 1 .
LCM of Denominators means LCM of 371,895,349 as per the given fractions.
LCM of 371,895,349 is 115883705 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,376,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Greatest Common Factor
We found the factors 72,376,417 . The biggest common factor number is the GCF number.
So the greatest common factor 72,376,417 is 1.
Lets's calculate LCM of 371,895,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 115883705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115883705
Therefore, the GCF of Fractions 72/371,376/895,417/349 is 1/115883705
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 371,895,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,895,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,895,349) x common factors =1 x 1 = 1
LCM(371,895,349) = ( 371 × 895 × 349 ) / 1
LCM(371,895,349) = 115883705 / 1
LCM(371,895,349) = 115883705
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 72/371, 376/895, 417/349?
Answer: GCF of Numerators as per given numbers 72/371, 376/895, 417/349 is
GCF of Numerators i.e. for 72,376,417 is 1
LCM of denominators i.e. for 371,895,349 is 115883705.
Thus, GCF of Fractions is 1/115883705.Finally, GCF of Fractions for 72/371, 376/895, 417/349 is 1/115883705.