Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6580/638,7785/6359
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 6580,7785
Greatest Common Factor of Numerators i.e. GCF of 6580,7785 is 5 .
LCM of Denominators means LCM of 638,6359 as per the given fractions.
LCM of 638,6359 is 4057042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6580,7785
5 | 6580, 7785 |
1316, 1557 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6580
List of positive integer factors of 6580 that divides 6580 without a remainder.
1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580
Factors of 7785
List of positive integer factors of 7785 that divides 7785 without a remainder.
1,3,5,9,15,45,173,519,865,1557,2595,7785
Greatest Common Factor
We found the factors 6580,7785 . The biggest common factor number is the GCF number.
So the greatest common factor 6580,7785 is 5.
Lets's calculate LCM of 638,6359
Given numbers has no common factors except 1. So, there LCM is their product i.e 4057042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4057042
Therefore, the GCF of Fractions 6580/638,7785/6359 is 5/4057042
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 638,6359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,6359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,6359) x common factors =1 x 1 = 1
LCM(638,6359) = ( 638 × 6359 ) / 1
LCM(638,6359) = 4057042 / 1
LCM(638,6359) = 4057042
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 6580/638, 7785/6359?
Answer: GCF of Numerators as per given numbers 6580/638, 7785/6359 is
GCF of Numerators i.e. for 6580,7785 is 5
LCM of denominators i.e. for 638,6359 is 4057042.
Thus, GCF of Fractions is 5/4057042.Finally, GCF of Fractions for 6580/638, 7785/6359 is 5/4057042.