Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 213/536,2026/607
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 213,2026
Greatest Common Factor of Numerators i.e. GCF of 213,2026 is 1 .
LCM of Denominators means LCM of 536,607 as per the given fractions.
LCM of 536,607 is 325352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 213,2026
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 2026
List of positive integer factors of 2026 that divides 2026 without a remainder.
1,2,1013,2026
Greatest Common Factor
We found the factors 213,2026 . The biggest common factor number is the GCF number.
So the greatest common factor 213,2026 is 1.
Lets's calculate LCM of 536,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 325352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325352
Therefore, the GCF of Fractions 213/536,2026/607 is 1/325352
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 536,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,607) x common factors =1 x 1 = 1
LCM(536,607) = ( 536 × 607 ) / 1
LCM(536,607) = 325352 / 1
LCM(536,607) = 325352
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 213/536, 2026/607?
Answer: GCF of Numerators as per given numbers 213/536, 2026/607 is
GCF of Numerators i.e. for 213,2026 is 1
LCM of denominators i.e. for 536,607 is 325352.
Thus, GCF of Fractions is 1/325352.Finally, GCF of Fractions for 213/536, 2026/607 is 1/325352.