Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6580/63,6910/974
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 6580,6910
Greatest Common Factor of Numerators i.e. GCF of 6580,6910 is 10 .
LCM of Denominators means LCM of 63,974 as per the given fractions.
LCM of 63,974 is 61362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6580,6910
2 | 6580, 6910 |
5 | 3290, 3455 |
658, 691 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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 6910
List of positive integer factors of 6910 that divides 6910 without a remainder.
1,2,5,10,691,1382,3455,6910
Greatest Common Factor
We found the factors 6580,6910 . The biggest common factor number is the GCF number.
So the greatest common factor 6580,6910 is 10.
Lets's calculate LCM of 63,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 61362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/61362
Therefore, the GCF of Fractions 6580/63,6910/974 is 10/61362
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 63,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,974) x common factors =1 x 1 = 1
LCM(63,974) = ( 63 × 974 ) / 1
LCM(63,974) = 61362 / 1
LCM(63,974) = 61362
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 6580/63, 6910/974?
Answer: GCF of Numerators as per given numbers 6580/63, 6910/974 is
GCF of Numerators i.e. for 6580,6910 is 10
LCM of denominators i.e. for 63,974 is 61362.
Thus, GCF of Fractions is 10/61362.Finally, GCF of Fractions for 6580/63, 6910/974 is 10/61362.