Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 280/674,7758/817
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 280,7758
Greatest Common Factor of Numerators i.e. GCF of 280,7758 is 2 .
LCM of Denominators means LCM of 674,817 as per the given fractions.
LCM of 674,817 is 550658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 280,7758
2 | 280, 7758 |
140, 3879 |
∴ So the GCF of the given numbers is 2 = 2
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
Factors of 7758
List of positive integer factors of 7758 that divides 7758 without a remainder.
1,2,3,6,9,18,431,862,1293,2586,3879,7758
Greatest Common Factor
We found the factors 280,7758 . The biggest common factor number is the GCF number.
So the greatest common factor 280,7758 is 2.
Lets's calculate LCM of 674,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 550658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/550658
Therefore, the GCF of Fractions 280/674,7758/817 is 2/550658
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 674,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,817) x common factors =1 x 1 = 1
LCM(674,817) = ( 674 × 817 ) / 1
LCM(674,817) = 550658 / 1
LCM(674,817) = 550658
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 280/674, 7758/817?
Answer: GCF of Numerators as per given numbers 280/674, 7758/817 is
GCF of Numerators i.e. for 280,7758 is 2
LCM of denominators i.e. for 674,817 is 550658.
Thus, GCF of Fractions is 2/550658.Finally, GCF of Fractions for 280/674, 7758/817 is 2/550658.