Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7270/745,5566/884
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 7270,5566
Greatest Common Factor of Numerators i.e. GCF of 7270,5566 is 2 .
LCM of Denominators means LCM of 745,884 as per the given fractions.
LCM of 745,884 is 658580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7270,5566
2 | 7270, 5566 |
3635, 2783 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7270
List of positive integer factors of 7270 that divides 7270 without a remainder.
1,2,5,10,727,1454,3635,7270
Factors of 5566
List of positive integer factors of 5566 that divides 5566 without a remainder.
1,2,11,22,23,46,121,242,253,506,2783,5566
Greatest Common Factor
We found the factors 7270,5566 . The biggest common factor number is the GCF number.
So the greatest common factor 7270,5566 is 2.
Lets's calculate LCM of 745,884
Given numbers has no common factors except 1. So, there LCM is their product i.e 658580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/658580
Therefore, the GCF of Fractions 7270/745,5566/884 is 2/658580
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 745,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,884) x common factors =1 x 1 = 1
LCM(745,884) = ( 745 × 884 ) / 1
LCM(745,884) = 658580 / 1
LCM(745,884) = 658580
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 7270/745, 5566/884?
Answer: GCF of Numerators as per given numbers 7270/745, 5566/884 is
GCF of Numerators i.e. for 7270,5566 is 2
LCM of denominators i.e. for 745,884 is 658580.
Thus, GCF of Fractions is 2/658580.Finally, GCF of Fractions for 7270/745, 5566/884 is 2/658580.