Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 699/70,108/98,498/736
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 699,108,498
Greatest Common Factor of Numerators i.e. GCF of 699,108,498 is 3 .
LCM of Denominators means LCM of 70,98,736 as per the given fractions.
LCM of 70,98,736 is 180320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 699,108,498
3 | 699, 108, 498 |
233, 36, 166 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 699,108,498 . The biggest common factor number is the GCF number.
So the greatest common factor 699,108,498 is 3.
Lets's calculate LCM of 70,98,736
2 | 70, 98, 736 |
7 | 35, 49, 368 |
5, 7, 368 |
∴ So the LCM of the given numbers is 2 x 7 x 5 x 7 x 368 = 180320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/180320
Therefore, the GCF of Fractions 699/70,108/98,498/736 is 3/180320
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 70,98,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,98,736) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(70,98,736) x common factors =2 x 14 = 28
LCM(70,98,736) = ( 70 × 98 × 736 ) / 28
LCM(70,98,736) = 5048960 / 28
LCM(70,98,736) = 180320
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 699/70, 108/98, 498/736?
Answer: GCF of Numerators as per given numbers 699/70, 108/98, 498/736 is
GCF of Numerators i.e. for 699,108,498 is 3
LCM of denominators i.e. for 70,98,736 is 180320.
Thus, GCF of Fractions is 3/180320.Finally, GCF of Fractions for 699/70, 108/98, 498/736 is 3/180320.