Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/29,702/82,217/70
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 700,702,217
Greatest Common Factor of Numerators i.e. GCF of 700,702,217 is 1 .
LCM of Denominators means LCM of 29,82,70 as per the given fractions.
LCM of 29,82,70 is 83230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 700,702,217
∴ So GCF of numbers is 1 because of no common factors present between them.
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 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Greatest Common Factor
We found the factors 700,702,217 . The biggest common factor number is the GCF number.
So the greatest common factor 700,702,217 is 1.
Lets's calculate LCM of 29,82,70
2 | 29, 82, 70 |
29, 41, 35 |
∴ So the LCM of the given numbers is 2 x 29 x 41 x 35 = 83230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83230
Therefore, the GCF of Fractions 700/29,702/82,217/70 is 1/83230
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 29,82,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,82,70) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,82,70) x common factors =1 x 2 = 2
LCM(29,82,70) = ( 29 × 82 × 70 ) / 2
LCM(29,82,70) = 166460 / 2
LCM(29,82,70) = 83230
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 700/29, 702/82, 217/70?
Answer: GCF of Numerators as per given numbers 700/29, 702/82, 217/70 is
GCF of Numerators i.e. for 700,702,217 is 1
LCM of denominators i.e. for 29,82,70 is 83230.
Thus, GCF of Fractions is 1/83230.Finally, GCF of Fractions for 700/29, 702/82, 217/70 is 1/83230.