Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6396/27,1781/279
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 6396,1781
Greatest Common Factor of Numerators i.e. GCF of 6396,1781 is 13 .
LCM of Denominators means LCM of 27,279 as per the given fractions.
LCM of 27,279 is 837 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6396,1781
13 | 6396, 1781 |
492, 137 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 6396
List of positive integer factors of 6396 that divides 6396 without a remainder.
1,2,3,4,6,12,13,26,39,41,52,78,82,123,156,164,246,492,533,1066,1599,2132,3198,6396
Factors of 1781
List of positive integer factors of 1781 that divides 1781 without a remainder.
1,13,137,1781
Greatest Common Factor
We found the factors 6396,1781 . The biggest common factor number is the GCF number.
So the greatest common factor 6396,1781 is 13.
Lets's calculate LCM of 27,279
3 | 27, 279 |
3 | 9, 93 |
3, 31 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 31 = 837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/837
Therefore, the GCF of Fractions 6396/27,1781/279 is 13/837
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 27,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,279) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(27,279) x common factors =9 x 1 = 9
LCM(27,279) = ( 27 × 279 ) / 9
LCM(27,279) = 7533 / 9
LCM(27,279) = 837
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 6396/27, 1781/279?
Answer: GCF of Numerators as per given numbers 6396/27, 1781/279 is
GCF of Numerators i.e. for 6396,1781 is 13
LCM of denominators i.e. for 27,279 is 837.
Thus, GCF of Fractions is 13/837.Finally, GCF of Fractions for 6396/27, 1781/279 is 13/837.