Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/78,217/63,833/541
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 756,217,833
Greatest Common Factor of Numerators i.e. GCF of 756,217,833 is 7 .
LCM of Denominators means LCM of 78,63,541 as per the given fractions.
LCM of 78,63,541 is 886158 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 756,217,833
7 | 756, 217, 833 |
108, 31, 119 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 756,217,833 . The biggest common factor number is the GCF number.
So the greatest common factor 756,217,833 is 7.
Lets's calculate LCM of 78,63,541
3 | 78, 63, 541 |
26, 21, 541 |
∴ So the LCM of the given numbers is 3 x 26 x 21 x 541 = 886158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/886158
Therefore, the GCF of Fractions 756/78,217/63,833/541 is 7/886158
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 78,63,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,63,541) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(78,63,541) x common factors =1 x 3 = 3
LCM(78,63,541) = ( 78 × 63 × 541 ) / 3
LCM(78,63,541) = 2658474 / 3
LCM(78,63,541) = 886158
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 756/78, 217/63, 833/541?
Answer: GCF of Numerators as per given numbers 756/78, 217/63, 833/541 is
GCF of Numerators i.e. for 756,217,833 is 7
LCM of denominators i.e. for 78,63,541 is 886158.
Thus, GCF of Fractions is 7/886158.Finally, GCF of Fractions for 756/78, 217/63, 833/541 is 7/886158.