Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/561,342/336,662/693
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 84,342,662
Greatest Common Factor of Numerators i.e. GCF of 84,342,662 is 2 .
LCM of Denominators means LCM of 561,336,693 as per the given fractions.
LCM of 561,336,693 is 188496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,342,662
2 | 84, 342, 662 |
42, 171, 331 |
∴ So the GCF of the given numbers is 2 = 2
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 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 84,342,662 . The biggest common factor number is the GCF number.
So the greatest common factor 84,342,662 is 2.
Lets's calculate LCM of 561,336,693
3 | 561, 336, 693 |
7 | 187, 112, 231 |
11 | 187, 16, 33 |
17, 16, 3 |
∴ So the LCM of the given numbers is 3 x 7 x 11 x 17 x 16 x 3 = 188496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/188496
Therefore, the GCF of Fractions 84/561,342/336,662/693 is 2/188496
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 561,336,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,336,693) = 3
common factors(in case of two or more numbers have common factors) = 231
GCF(561,336,693) x common factors =3 x 231 = 693
LCM(561,336,693) = ( 561 × 336 × 693 ) / 693
LCM(561,336,693) = 130627728 / 693
LCM(561,336,693) = 188496
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 84/561, 342/336, 662/693?
Answer: GCF of Numerators as per given numbers 84/561, 342/336, 662/693 is
GCF of Numerators i.e. for 84,342,662 is 2
LCM of denominators i.e. for 561,336,693 is 188496.
Thus, GCF of Fractions is 2/188496.Finally, GCF of Fractions for 84/561, 342/336, 662/693 is 2/188496.