Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6639/665,6232/980
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 6639,6232
Greatest Common Factor of Numerators i.e. GCF of 6639,6232 is 1 .
LCM of Denominators means LCM of 665,980 as per the given fractions.
LCM of 665,980 is 18620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6639,6232
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6639
List of positive integer factors of 6639 that divides 6639 without a remainder.
1,3,2213,6639
Factors of 6232
List of positive integer factors of 6232 that divides 6232 without a remainder.
1,2,4,8,19,38,41,76,82,152,164,328,779,1558,3116,6232
Greatest Common Factor
We found the factors 6639,6232 . The biggest common factor number is the GCF number.
So the greatest common factor 6639,6232 is 1.
Lets's calculate LCM of 665,980
5 | 665, 980 |
7 | 133, 196 |
19, 28 |
∴ So the LCM of the given numbers is 5 x 7 x 19 x 28 = 18620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18620
Therefore, the GCF of Fractions 6639/665,6232/980 is 1/18620
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 665,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,980) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(665,980) x common factors =35 x 1 = 35
LCM(665,980) = ( 665 × 980 ) / 35
LCM(665,980) = 651700 / 35
LCM(665,980) = 18620
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 6639/665, 6232/980?
Answer: GCF of Numerators as per given numbers 6639/665, 6232/980 is
GCF of Numerators i.e. for 6639,6232 is 1
LCM of denominators i.e. for 665,980 is 18620.
Thus, GCF of Fractions is 1/18620.Finally, GCF of Fractions for 6639/665, 6232/980 is 1/18620.