Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1478/527,2080/6772
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 1478,2080
Greatest Common Factor of Numerators i.e. GCF of 1478,2080 is 2 .
LCM of Denominators means LCM of 527,6772 as per the given fractions.
LCM of 527,6772 is 3568844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1478,2080
2 | 1478, 2080 |
739, 1040 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1478
List of positive integer factors of 1478 that divides 1478 without a remainder.
1,2,739,1478
Factors of 2080
List of positive integer factors of 2080 that divides 2080 without a remainder.
1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080
Greatest Common Factor
We found the factors 1478,2080 . The biggest common factor number is the GCF number.
So the greatest common factor 1478,2080 is 2.
Lets's calculate LCM of 527,6772
Given numbers has no common factors except 1. So, there LCM is their product i.e 3568844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3568844
Therefore, the GCF of Fractions 1478/527,2080/6772 is 2/3568844
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 527,6772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,6772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,6772) x common factors =1 x 1 = 1
LCM(527,6772) = ( 527 × 6772 ) / 1
LCM(527,6772) = 3568844 / 1
LCM(527,6772) = 3568844
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 1478/527, 2080/6772?
Answer: GCF of Numerators as per given numbers 1478/527, 2080/6772 is
GCF of Numerators i.e. for 1478,2080 is 2
LCM of denominators i.e. for 527,6772 is 3568844.
Thus, GCF of Fractions is 2/3568844.Finally, GCF of Fractions for 1478/527, 2080/6772 is 2/3568844.