Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/407,169/998,707/504
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 84,169,707
Greatest Common Factor of Numerators i.e. GCF of 84,169,707 is 1 .
LCM of Denominators means LCM of 407,998,504 as per the given fractions.
LCM of 407,998,504 is 102358872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,169,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 84,169,707 . The biggest common factor number is the GCF number.
So the greatest common factor 84,169,707 is 1.
Lets's calculate LCM of 407,998,504
2 | 407, 998, 504 |
407, 499, 252 |
∴ So the LCM of the given numbers is 2 x 407 x 499 x 252 = 102358872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102358872
Therefore, the GCF of Fractions 84/407,169/998,707/504 is 1/102358872
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 407,998,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,998,504) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(407,998,504) x common factors =1 x 2 = 2
LCM(407,998,504) = ( 407 × 998 × 504 ) / 2
LCM(407,998,504) = 204717744 / 2
LCM(407,998,504) = 102358872
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 84/407, 169/998, 707/504?
Answer: GCF of Numerators as per given numbers 84/407, 169/998, 707/504 is
GCF of Numerators i.e. for 84,169,707 is 1
LCM of denominators i.e. for 407,998,504 is 102358872.
Thus, GCF of Fractions is 1/102358872.Finally, GCF of Fractions for 84/407, 169/998, 707/504 is 1/102358872.