Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/756,8790/194
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 700,8790
Greatest Common Factor of Numerators i.e. GCF of 700,8790 is 10 .
LCM of Denominators means LCM of 756,194 as per the given fractions.
LCM of 756,194 is 73332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 700,8790
2 | 700, 8790 |
5 | 350, 4395 |
70, 879 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Factors of 8790
List of positive integer factors of 8790 that divides 8790 without a remainder.
1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790
Greatest Common Factor
We found the factors 700,8790 . The biggest common factor number is the GCF number.
So the greatest common factor 700,8790 is 10.
Lets's calculate LCM of 756,194
2 | 756, 194 |
378, 97 |
∴ So the LCM of the given numbers is 2 x 378 x 97 = 73332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/73332
Therefore, the GCF of Fractions 700/756,8790/194 is 10/73332
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 756,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(756,194) x common factors =2 x 1 = 2
LCM(756,194) = ( 756 × 194 ) / 2
LCM(756,194) = 146664 / 2
LCM(756,194) = 73332
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 700/756, 8790/194?
Answer: GCF of Numerators as per given numbers 700/756, 8790/194 is
GCF of Numerators i.e. for 700,8790 is 10
LCM of denominators i.e. for 756,194 is 73332.
Thus, GCF of Fractions is 10/73332.Finally, GCF of Fractions for 700/756, 8790/194 is 10/73332.