Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 575/782,4914/620
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 575,4914
Greatest Common Factor of Numerators i.e. GCF of 575,4914 is 1 .
LCM of Denominators means LCM of 782,620 as per the given fractions.
LCM of 782,620 is 242420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 575,4914
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Factors of 4914
List of positive integer factors of 4914 that divides 4914 without a remainder.
1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 575,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 575,4914 is 1.
Lets's calculate LCM of 782,620
2 | 782, 620 |
391, 310 |
∴ So the LCM of the given numbers is 2 x 391 x 310 = 242420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242420
Therefore, the GCF of Fractions 575/782,4914/620 is 1/242420
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 782,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,620) x common factors =2 x 1 = 2
LCM(782,620) = ( 782 × 620 ) / 2
LCM(782,620) = 484840 / 2
LCM(782,620) = 242420
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 575/782, 4914/620?
Answer: GCF of Numerators as per given numbers 575/782, 4914/620 is
GCF of Numerators i.e. for 575,4914 is 1
LCM of denominators i.e. for 782,620 is 242420.
Thus, GCF of Fractions is 1/242420.Finally, GCF of Fractions for 575/782, 4914/620 is 1/242420.