Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6344/640,2640/934
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 6344,2640
Greatest Common Factor of Numerators i.e. GCF of 6344,2640 is 8 .
LCM of Denominators means LCM of 640,934 as per the given fractions.
LCM of 640,934 is 298880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6344,2640
2 | 6344, 2640 |
2 | 3172, 1320 |
2 | 1586, 660 |
793, 330 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 6344
List of positive integer factors of 6344 that divides 6344 without a remainder.
1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344
Factors of 2640
List of positive integer factors of 2640 that divides 2640 without a remainder.
1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Greatest Common Factor
We found the factors 6344,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 6344,2640 is 8.
Lets's calculate LCM of 640,934
2 | 640, 934 |
320, 467 |
∴ So the LCM of the given numbers is 2 x 320 x 467 = 298880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/298880
Therefore, the GCF of Fractions 6344/640,2640/934 is 8/298880
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 640,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,934) x common factors =2 x 1 = 2
LCM(640,934) = ( 640 × 934 ) / 2
LCM(640,934) = 597760 / 2
LCM(640,934) = 298880
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 6344/640, 2640/934?
Answer: GCF of Numerators as per given numbers 6344/640, 2640/934 is
GCF of Numerators i.e. for 6344,2640 is 8
LCM of denominators i.e. for 640,934 is 298880.
Thus, GCF of Fractions is 8/298880.Finally, GCF of Fractions for 6344/640, 2640/934 is 8/298880.