Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 376/84,706/516
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 376,706
Greatest Common Factor of Numerators i.e. GCF of 376,706 is 2 .
LCM of Denominators means LCM of 84,516 as per the given fractions.
LCM of 84,516 is 3612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 376,706
2 | 376, 706 |
188, 353 |
∴ So the GCF of the given numbers is 2 = 2
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 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Greatest Common Factor
We found the factors 376,706 . The biggest common factor number is the GCF number.
So the greatest common factor 376,706 is 2.
Lets's calculate LCM of 84,516
2 | 84, 516 |
2 | 42, 258 |
3 | 21, 129 |
7, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 43 = 3612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3612
Therefore, the GCF of Fractions 376/84,706/516 is 2/3612
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 84,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,516) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(84,516) x common factors =12 x 1 = 12
LCM(84,516) = ( 84 × 516 ) / 12
LCM(84,516) = 43344 / 12
LCM(84,516) = 3612
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 376/84, 706/516?
Answer: GCF of Numerators as per given numbers 376/84, 706/516 is
GCF of Numerators i.e. for 376,706 is 2
LCM of denominators i.e. for 84,516 is 3612.
Thus, GCF of Fractions is 2/3612.Finally, GCF of Fractions for 376/84, 706/516 is 2/3612.