Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5456/207,7130/3332
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 5456,7130
Greatest Common Factor of Numerators i.e. GCF of 5456,7130 is 62 .
LCM of Denominators means LCM of 207,3332 as per the given fractions.
LCM of 207,3332 is 689724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5456,7130
2 | 5456, 7130 |
31 | 2728, 3565 |
88, 115 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Factors of 5456
List of positive integer factors of 5456 that divides 5456 without a remainder.
1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456
Factors of 7130
List of positive integer factors of 7130 that divides 7130 without a remainder.
1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 5456,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 5456,7130 is 62.
Lets's calculate LCM of 207,3332
Given numbers has no common factors except 1. So, there LCM is their product i.e 689724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/689724
Therefore, the GCF of Fractions 5456/207,7130/3332 is 62/689724
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 207,3332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,3332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,3332) x common factors =1 x 1 = 1
LCM(207,3332) = ( 207 × 3332 ) / 1
LCM(207,3332) = 689724 / 1
LCM(207,3332) = 689724
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 5456/207, 7130/3332?
Answer: GCF of Numerators as per given numbers 5456/207, 7130/3332 is
GCF of Numerators i.e. for 5456,7130 is 62
LCM of denominators i.e. for 207,3332 is 689724.
Thus, GCF of Fractions is 62/689724.Finally, GCF of Fractions for 5456/207, 7130/3332 is 62/689724.