Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 840/84,697/22,728/455
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 840,697,728
Greatest Common Factor of Numerators i.e. GCF of 840,697,728 is 1 .
LCM of Denominators means LCM of 84,22,455 as per the given fractions.
LCM of 84,22,455 is 60060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 840,697,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 840,697,728 . The biggest common factor number is the GCF number.
So the greatest common factor 840,697,728 is 1.
Lets's calculate LCM of 84,22,455
2 | 84, 22, 455 |
7 | 42, 11, 455 |
6, 11, 65 |
∴ So the LCM of the given numbers is 2 x 7 x 6 x 11 x 65 = 60060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60060
Therefore, the GCF of Fractions 840/84,697/22,728/455 is 1/60060
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 84,22,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,22,455) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(84,22,455) x common factors =1 x 14 = 14
LCM(84,22,455) = ( 84 × 22 × 455 ) / 14
LCM(84,22,455) = 840840 / 14
LCM(84,22,455) = 60060
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 840/84, 697/22, 728/455?
Answer: GCF of Numerators as per given numbers 840/84, 697/22, 728/455 is
GCF of Numerators i.e. for 840,697,728 is 1
LCM of denominators i.e. for 84,22,455 is 60060.
Thus, GCF of Fractions is 1/60060.Finally, GCF of Fractions for 840/84, 697/22, 728/455 is 1/60060.