Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 808/87,346/10,716/715
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 808,346,716
Greatest Common Factor of Numerators i.e. GCF of 808,346,716 is 2 .
LCM of Denominators means LCM of 87,10,715 as per the given fractions.
LCM of 87,10,715 is 124410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 808,346,716
2 | 808, 346, 716 |
404, 173, 358 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 808,346,716 . The biggest common factor number is the GCF number.
So the greatest common factor 808,346,716 is 2.
Lets's calculate LCM of 87,10,715
5 | 87, 10, 715 |
87, 2, 143 |
∴ So the LCM of the given numbers is 5 x 87 x 2 x 143 = 124410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124410
Therefore, the GCF of Fractions 808/87,346/10,716/715 is 2/124410
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 87,10,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,10,715) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(87,10,715) x common factors =1 x 5 = 5
LCM(87,10,715) = ( 87 × 10 × 715 ) / 5
LCM(87,10,715) = 622050 / 5
LCM(87,10,715) = 124410
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 808/87, 346/10, 716/715?
Answer: GCF of Numerators as per given numbers 808/87, 346/10, 716/715 is
GCF of Numerators i.e. for 808,346,716 is 2
LCM of denominators i.e. for 87,10,715 is 124410.
Thus, GCF of Fractions is 2/124410.Finally, GCF of Fractions for 808/87, 346/10, 716/715 is 2/124410.