Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 604/1220,934/6566
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 604,934
Greatest Common Factor of Numerators i.e. GCF of 604,934 is 2 .
LCM of Denominators means LCM of 1220,6566 as per the given fractions.
LCM of 1220,6566 is 4005260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 604,934
2 | 604, 934 |
302, 467 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 604,934 . The biggest common factor number is the GCF number.
So the greatest common factor 604,934 is 2.
Lets's calculate LCM of 1220,6566
2 | 1220, 6566 |
610, 3283 |
∴ So the LCM of the given numbers is 2 x 610 x 3283 = 4005260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4005260
Therefore, the GCF of Fractions 604/1220,934/6566 is 2/4005260
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 1220,6566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1220,6566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1220,6566) x common factors =2 x 1 = 2
LCM(1220,6566) = ( 1220 × 6566 ) / 2
LCM(1220,6566) = 8010520 / 2
LCM(1220,6566) = 4005260
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 604/1220, 934/6566?
Answer: GCF of Numerators as per given numbers 604/1220, 934/6566 is
GCF of Numerators i.e. for 604,934 is 2
LCM of denominators i.e. for 1220,6566 is 4005260.
Thus, GCF of Fractions is 2/4005260.Finally, GCF of Fractions for 604/1220, 934/6566 is 2/4005260.