Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6414/128,5516/4501
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 6414,5516
Greatest Common Factor of Numerators i.e. GCF of 6414,5516 is 2 .
LCM of Denominators means LCM of 128,4501 as per the given fractions.
LCM of 128,4501 is 576128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6414,5516
2 | 6414, 5516 |
3207, 2758 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6414
List of positive integer factors of 6414 that divides 6414 without a remainder.
1,2,3,6,1069,2138,3207,6414
Factors of 5516
List of positive integer factors of 5516 that divides 5516 without a remainder.
1,2,4,7,14,28,197,394,788,1379,2758,5516
Greatest Common Factor
We found the factors 6414,5516 . The biggest common factor number is the GCF number.
So the greatest common factor 6414,5516 is 2.
Lets's calculate LCM of 128,4501
Given numbers has no common factors except 1. So, there LCM is their product i.e 576128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/576128
Therefore, the GCF of Fractions 6414/128,5516/4501 is 2/576128
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 128,4501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,4501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,4501) x common factors =1 x 1 = 1
LCM(128,4501) = ( 128 × 4501 ) / 1
LCM(128,4501) = 576128 / 1
LCM(128,4501) = 576128
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 6414/128, 5516/4501?
Answer: GCF of Numerators as per given numbers 6414/128, 5516/4501 is
GCF of Numerators i.e. for 6414,5516 is 2
LCM of denominators i.e. for 128,4501 is 576128.
Thus, GCF of Fractions is 2/576128.Finally, GCF of Fractions for 6414/128, 5516/4501 is 2/576128.