Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/576,347/441,312/329
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 970,347,312
Greatest Common Factor of Numerators i.e. GCF of 970,347,312 is 1 .
LCM of Denominators means LCM of 576,441,329 as per the given fractions.
LCM of 576,441,329 is 1326528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 970,347,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 970,347,312 . The biggest common factor number is the GCF number.
So the greatest common factor 970,347,312 is 1.
Lets's calculate LCM of 576,441,329
3 | 576, 441, 329 |
3 | 192, 147, 329 |
7 | 64, 49, 329 |
64, 7, 47 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 64 x 7 x 47 = 1326528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1326528
Therefore, the GCF of Fractions 970/576,347/441,312/329 is 1/1326528
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 576,441,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,441,329) = 1
common factors(in case of two or more numbers have common factors) = 63
GCF(576,441,329) x common factors =1 x 63 = 63
LCM(576,441,329) = ( 576 × 441 × 329 ) / 63
LCM(576,441,329) = 83571264 / 63
LCM(576,441,329) = 1326528
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 970/576, 347/441, 312/329?
Answer: GCF of Numerators as per given numbers 970/576, 347/441, 312/329 is
GCF of Numerators i.e. for 970,347,312 is 1
LCM of denominators i.e. for 576,441,329 is 1326528.
Thus, GCF of Fractions is 1/1326528.Finally, GCF of Fractions for 970/576, 347/441, 312/329 is 1/1326528.