Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 565/559,6275/307
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 565,6275
Greatest Common Factor of Numerators i.e. GCF of 565,6275 is 5 .
LCM of Denominators means LCM of 559,307 as per the given fractions.
LCM of 559,307 is 171613 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 565,6275
5 | 565, 6275 |
113, 1255 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 6275
List of positive integer factors of 6275 that divides 6275 without a remainder.
1,5,25,251,1255,6275
Greatest Common Factor
We found the factors 565,6275 . The biggest common factor number is the GCF number.
So the greatest common factor 565,6275 is 5.
Lets's calculate LCM of 559,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 171613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/171613
Therefore, the GCF of Fractions 565/559,6275/307 is 5/171613
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 559,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,307) x common factors =1 x 1 = 1
LCM(559,307) = ( 559 × 307 ) / 1
LCM(559,307) = 171613 / 1
LCM(559,307) = 171613
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 565/559, 6275/307?
Answer: GCF of Numerators as per given numbers 565/559, 6275/307 is
GCF of Numerators i.e. for 565,6275 is 5
LCM of denominators i.e. for 559,307 is 171613.
Thus, GCF of Fractions is 5/171613.Finally, GCF of Fractions for 565/559, 6275/307 is 5/171613.