Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/79,875/4097
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 567,875
Greatest Common Factor of Numerators i.e. GCF of 567,875 is 7 .
LCM of Denominators means LCM of 79,4097 as per the given fractions.
LCM of 79,4097 is 323663 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 567,875
7 | 567, 875 |
81, 125 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 567,875 . The biggest common factor number is the GCF number.
So the greatest common factor 567,875 is 7.
Lets's calculate LCM of 79,4097
Given numbers has no common factors except 1. So, there LCM is their product i.e 323663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/323663
Therefore, the GCF of Fractions 567/79,875/4097 is 7/323663
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 79,4097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,4097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,4097) x common factors =1 x 1 = 1
LCM(79,4097) = ( 79 × 4097 ) / 1
LCM(79,4097) = 323663 / 1
LCM(79,4097) = 323663
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 567/79, 875/4097?
Answer: GCF of Numerators as per given numbers 567/79, 875/4097 is
GCF of Numerators i.e. for 567,875 is 7
LCM of denominators i.e. for 79,4097 is 323663.
Thus, GCF of Fractions is 7/323663.Finally, GCF of Fractions for 567/79, 875/4097 is 7/323663.