Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 563/49,621/45,714/374
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 563,621,714
Greatest Common Factor of Numerators i.e. GCF of 563,621,714 is 1 .
LCM of Denominators means LCM of 49,45,374 as per the given fractions.
LCM of 49,45,374 is 824670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 563,621,714
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 563,621,714 . The biggest common factor number is the GCF number.
So the greatest common factor 563,621,714 is 1.
Lets's calculate LCM of 49,45,374
Given numbers has no common factors except 1. So, there LCM is their product i.e 824670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/824670
Therefore, the GCF of Fractions 563/49,621/45,714/374 is 1/824670
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 49,45,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,45,374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,45,374) x common factors =1 x 1 = 1
LCM(49,45,374) = ( 49 × 45 × 374 ) / 1
LCM(49,45,374) = 824670 / 1
LCM(49,45,374) = 824670
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 563/49, 621/45, 714/374?
Answer: GCF of Numerators as per given numbers 563/49, 621/45, 714/374 is
GCF of Numerators i.e. for 563,621,714 is 1
LCM of denominators i.e. for 49,45,374 is 824670.
Thus, GCF of Fractions is 1/824670.Finally, GCF of Fractions for 563/49, 621/45, 714/374 is 1/824670.