Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1820/702,4827/3604
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 1820,4827
Greatest Common Factor of Numerators i.e. GCF of 1820,4827 is 1 .
LCM of Denominators means LCM of 702,3604 as per the given fractions.
LCM of 702,3604 is 1265004 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1820,4827
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1820
List of positive integer factors of 1820 that divides 1820 without a remainder.
1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Factors of 4827
List of positive integer factors of 4827 that divides 4827 without a remainder.
1,3,1609,4827
Greatest Common Factor
We found the factors 1820,4827 . The biggest common factor number is the GCF number.
So the greatest common factor 1820,4827 is 1.
Lets's calculate LCM of 702,3604
2 | 702, 3604 |
351, 1802 |
∴ So the LCM of the given numbers is 2 x 351 x 1802 = 1265004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1265004
Therefore, the GCF of Fractions 1820/702,4827/3604 is 1/1265004
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 702,3604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,3604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(702,3604) x common factors =2 x 1 = 2
LCM(702,3604) = ( 702 × 3604 ) / 2
LCM(702,3604) = 2530008 / 2
LCM(702,3604) = 1265004
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 1820/702, 4827/3604?
Answer: GCF of Numerators as per given numbers 1820/702, 4827/3604 is
GCF of Numerators i.e. for 1820,4827 is 1
LCM of denominators i.e. for 702,3604 is 1265004.
Thus, GCF of Fractions is 1/1265004.Finally, GCF of Fractions for 1820/702, 4827/3604 is 1/1265004.