Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5778/683,2668/1759
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 5778,2668
Greatest Common Factor of Numerators i.e. GCF of 5778,2668 is 2 .
LCM of Denominators means LCM of 683,1759 as per the given fractions.
LCM of 683,1759 is 1201397 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5778,2668
2 | 5778, 2668 |
2889, 1334 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5778
List of positive integer factors of 5778 that divides 5778 without a remainder.
1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778
Factors of 2668
List of positive integer factors of 2668 that divides 2668 without a remainder.
1,2,4,23,29,46,58,92,116,667,1334,2668
Greatest Common Factor
We found the factors 5778,2668 . The biggest common factor number is the GCF number.
So the greatest common factor 5778,2668 is 2.
Lets's calculate LCM of 683,1759
Given numbers has no common factors except 1. So, there LCM is their product i.e 1201397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1201397
Therefore, the GCF of Fractions 5778/683,2668/1759 is 2/1201397
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 683,1759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,1759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,1759) x common factors =1 x 1 = 1
LCM(683,1759) = ( 683 × 1759 ) / 1
LCM(683,1759) = 1201397 / 1
LCM(683,1759) = 1201397
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 5778/683, 2668/1759?
Answer: GCF of Numerators as per given numbers 5778/683, 2668/1759 is
GCF of Numerators i.e. for 5778,2668 is 2
LCM of denominators i.e. for 683,1759 is 1201397.
Thus, GCF of Fractions is 2/1201397.Finally, GCF of Fractions for 5778/683, 2668/1759 is 2/1201397.