Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 686/337,859/822,421/632
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 686,859,421
Greatest Common Factor of Numerators i.e. GCF of 686,859,421 is 1 .
LCM of Denominators means LCM of 337,822,632 as per the given fractions.
LCM of 337,822,632 is 87536424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 686,859,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Greatest Common Factor
We found the factors 686,859,421 . The biggest common factor number is the GCF number.
So the greatest common factor 686,859,421 is 1.
Lets's calculate LCM of 337,822,632
2 | 337, 822, 632 |
337, 411, 316 |
∴ So the LCM of the given numbers is 2 x 337 x 411 x 316 = 87536424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87536424
Therefore, the GCF of Fractions 686/337,859/822,421/632 is 1/87536424
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 337,822,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,822,632) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(337,822,632) x common factors =1 x 2 = 2
LCM(337,822,632) = ( 337 × 822 × 632 ) / 2
LCM(337,822,632) = 175072848 / 2
LCM(337,822,632) = 87536424
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 686/337, 859/822, 421/632?
Answer: GCF of Numerators as per given numbers 686/337, 859/822, 421/632 is
GCF of Numerators i.e. for 686,859,421 is 1
LCM of denominators i.e. for 337,822,632 is 87536424.
Thus, GCF of Fractions is 1/87536424.Finally, GCF of Fractions for 686/337, 859/822, 421/632 is 1/87536424.