Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 427/743,280/694
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 427,280
Greatest Common Factor of Numerators i.e. GCF of 427,280 is 7 .
LCM of Denominators means LCM of 743,694 as per the given fractions.
LCM of 743,694 is 515642 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 427,280
7 | 427, 280 |
61, 40 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 427,280 . The biggest common factor number is the GCF number.
So the greatest common factor 427,280 is 7.
Lets's calculate LCM of 743,694
Given numbers has no common factors except 1. So, there LCM is their product i.e 515642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/515642
Therefore, the GCF of Fractions 427/743,280/694 is 7/515642
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 743,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,694) x common factors =1 x 1 = 1
LCM(743,694) = ( 743 × 694 ) / 1
LCM(743,694) = 515642 / 1
LCM(743,694) = 515642
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 427/743, 280/694?
Answer: GCF of Numerators as per given numbers 427/743, 280/694 is
GCF of Numerators i.e. for 427,280 is 7
LCM of denominators i.e. for 743,694 is 515642.
Thus, GCF of Fractions is 7/515642.Finally, GCF of Fractions for 427/743, 280/694 is 7/515642.