Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/75,37/71,332/651
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 34,37,332
Greatest Common Factor of Numerators i.e. GCF of 34,37,332 is 1 .
LCM of Denominators means LCM of 75,71,651 as per the given fractions.
LCM of 75,71,651 is 1155525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,37,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 34,37,332 . The biggest common factor number is the GCF number.
So the greatest common factor 34,37,332 is 1.
Lets's calculate LCM of 75,71,651
3 | 75, 71, 651 |
25, 71, 217 |
∴ So the LCM of the given numbers is 3 x 25 x 71 x 217 = 1155525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1155525
Therefore, the GCF of Fractions 34/75,37/71,332/651 is 1/1155525
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 75,71,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,71,651) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,71,651) x common factors =1 x 3 = 3
LCM(75,71,651) = ( 75 × 71 × 651 ) / 3
LCM(75,71,651) = 3466575 / 3
LCM(75,71,651) = 1155525
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 34/75, 37/71, 332/651?
Answer: GCF of Numerators as per given numbers 34/75, 37/71, 332/651 is
GCF of Numerators i.e. for 34,37,332 is 1
LCM of denominators i.e. for 75,71,651 is 1155525.
Thus, GCF of Fractions is 1/1155525.Finally, GCF of Fractions for 34/75, 37/71, 332/651 is 1/1155525.