Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3600/674,6305/282
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 3600,6305
Greatest Common Factor of Numerators i.e. GCF of 3600,6305 is 5 .
LCM of Denominators means LCM of 674,282 as per the given fractions.
LCM of 674,282 is 95034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3600,6305
5 | 3600, 6305 |
720, 1261 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3600
List of positive integer factors of 3600 that divides 3600 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600
Factors of 6305
List of positive integer factors of 6305 that divides 6305 without a remainder.
1,5,13,65,97,485,1261,6305
Greatest Common Factor
We found the factors 3600,6305 . The biggest common factor number is the GCF number.
So the greatest common factor 3600,6305 is 5.
Lets's calculate LCM of 674,282
2 | 674, 282 |
337, 141 |
∴ So the LCM of the given numbers is 2 x 337 x 141 = 95034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/95034
Therefore, the GCF of Fractions 3600/674,6305/282 is 5/95034
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 674,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,282) x common factors =2 x 1 = 2
LCM(674,282) = ( 674 × 282 ) / 2
LCM(674,282) = 190068 / 2
LCM(674,282) = 95034
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 3600/674, 6305/282?
Answer: GCF of Numerators as per given numbers 3600/674, 6305/282 is
GCF of Numerators i.e. for 3600,6305 is 5
LCM of denominators i.e. for 674,282 is 95034.
Thus, GCF of Fractions is 5/95034.Finally, GCF of Fractions for 3600/674, 6305/282 is 5/95034.