Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 337/40,341/69,262/946
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 337,341,262
Greatest Common Factor of Numerators i.e. GCF of 337,341,262 is 1 .
LCM of Denominators means LCM of 40,69,946 as per the given fractions.
LCM of 40,69,946 is 1305480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 337,341,262
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Greatest Common Factor
We found the factors 337,341,262 . The biggest common factor number is the GCF number.
So the greatest common factor 337,341,262 is 1.
Lets's calculate LCM of 40,69,946
2 | 40, 69, 946 |
20, 69, 473 |
∴ So the LCM of the given numbers is 2 x 20 x 69 x 473 = 1305480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1305480
Therefore, the GCF of Fractions 337/40,341/69,262/946 is 1/1305480
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 40,69,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,69,946) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(40,69,946) x common factors =1 x 2 = 2
LCM(40,69,946) = ( 40 × 69 × 946 ) / 2
LCM(40,69,946) = 2610960 / 2
LCM(40,69,946) = 1305480
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 337/40, 341/69, 262/946?
Answer: GCF of Numerators as per given numbers 337/40, 341/69, 262/946 is
GCF of Numerators i.e. for 337,341,262 is 1
LCM of denominators i.e. for 40,69,946 is 1305480.
Thus, GCF of Fractions is 1/1305480.Finally, GCF of Fractions for 337/40, 341/69, 262/946 is 1/1305480.