Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4510/567,1564/691
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 4510,1564
Greatest Common Factor of Numerators i.e. GCF of 4510,1564 is 2 .
LCM of Denominators means LCM of 567,691 as per the given fractions.
LCM of 567,691 is 391797 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4510,1564
2 | 4510, 1564 |
2255, 782 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4510
List of positive integer factors of 4510 that divides 4510 without a remainder.
1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510
Factors of 1564
List of positive integer factors of 1564 that divides 1564 without a remainder.
1,2,4,17,23,34,46,68,92,391,782,1564
Greatest Common Factor
We found the factors 4510,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 4510,1564 is 2.
Lets's calculate LCM of 567,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 391797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/391797
Therefore, the GCF of Fractions 4510/567,1564/691 is 2/391797
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 567,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,691) x common factors =1 x 1 = 1
LCM(567,691) = ( 567 × 691 ) / 1
LCM(567,691) = 391797 / 1
LCM(567,691) = 391797
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 4510/567, 1564/691?
Answer: GCF of Numerators as per given numbers 4510/567, 1564/691 is
GCF of Numerators i.e. for 4510,1564 is 2
LCM of denominators i.e. for 567,691 is 391797.
Thus, GCF of Fractions is 2/391797.Finally, GCF of Fractions for 4510/567, 1564/691 is 2/391797.