Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6272/345,2728/137
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 6272,2728
Greatest Common Factor of Numerators i.e. GCF of 6272,2728 is 8 .
LCM of Denominators means LCM of 345,137 as per the given fractions.
LCM of 345,137 is 47265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6272,2728
2 | 6272, 2728 |
2 | 3136, 1364 |
2 | 1568, 682 |
784, 341 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 6272
List of positive integer factors of 6272 that divides 6272 without a remainder.
1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272
Factors of 2728
List of positive integer factors of 2728 that divides 2728 without a remainder.
1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728
Greatest Common Factor
We found the factors 6272,2728 . The biggest common factor number is the GCF number.
So the greatest common factor 6272,2728 is 8.
Lets's calculate LCM of 345,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 47265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/47265
Therefore, the GCF of Fractions 6272/345,2728/137 is 8/47265
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 345,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,137) x common factors =1 x 1 = 1
LCM(345,137) = ( 345 × 137 ) / 1
LCM(345,137) = 47265 / 1
LCM(345,137) = 47265
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 6272/345, 2728/137?
Answer: GCF of Numerators as per given numbers 6272/345, 2728/137 is
GCF of Numerators i.e. for 6272,2728 is 8
LCM of denominators i.e. for 345,137 is 47265.
Thus, GCF of Fractions is 8/47265.Finally, GCF of Fractions for 6272/345, 2728/137 is 8/47265.