Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/55,421/41,575/680
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 920,421,575
Greatest Common Factor of Numerators i.e. GCF of 920,421,575 is 1 .
LCM of Denominators means LCM of 55,41,680 as per the given fractions.
LCM of 55,41,680 is 306680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 920,421,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 920,421,575 . The biggest common factor number is the GCF number.
So the greatest common factor 920,421,575 is 1.
Lets's calculate LCM of 55,41,680
5 | 55, 41, 680 |
11, 41, 136 |
∴ So the LCM of the given numbers is 5 x 11 x 41 x 136 = 306680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306680
Therefore, the GCF of Fractions 920/55,421/41,575/680 is 1/306680
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 55,41,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,41,680) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(55,41,680) x common factors =1 x 5 = 5
LCM(55,41,680) = ( 55 × 41 × 680 ) / 5
LCM(55,41,680) = 1533400 / 5
LCM(55,41,680) = 306680
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 920/55, 421/41, 575/680?
Answer: GCF of Numerators as per given numbers 920/55, 421/41, 575/680 is
GCF of Numerators i.e. for 920,421,575 is 1
LCM of denominators i.e. for 55,41,680 is 306680.
Thus, GCF of Fractions is 1/306680.Finally, GCF of Fractions for 920/55, 421/41, 575/680 is 1/306680.