Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 862/55,516/1703
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 862,516
Greatest Common Factor of Numerators i.e. GCF of 862,516 is 2 .
LCM of Denominators means LCM of 55,1703 as per the given fractions.
LCM of 55,1703 is 93665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 862,516
2 | 862, 516 |
431, 258 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 862,516 . The biggest common factor number is the GCF number.
So the greatest common factor 862,516 is 2.
Lets's calculate LCM of 55,1703
Given numbers has no common factors except 1. So, there LCM is their product i.e 93665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93665
Therefore, the GCF of Fractions 862/55,516/1703 is 2/93665
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 55,1703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,1703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,1703) x common factors =1 x 1 = 1
LCM(55,1703) = ( 55 × 1703 ) / 1
LCM(55,1703) = 93665 / 1
LCM(55,1703) = 93665
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 862/55, 516/1703?
Answer: GCF of Numerators as per given numbers 862/55, 516/1703 is
GCF of Numerators i.e. for 862,516 is 2
LCM of denominators i.e. for 55,1703 is 93665.
Thus, GCF of Fractions is 2/93665.Finally, GCF of Fractions for 862/55, 516/1703 is 2/93665.