Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2292/698,1065/821
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 2292,1065
Greatest Common Factor of Numerators i.e. GCF of 2292,1065 is 3 .
LCM of Denominators means LCM of 698,821 as per the given fractions.
LCM of 698,821 is 573058 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2292,1065
3 | 2292, 1065 |
764, 355 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2292
List of positive integer factors of 2292 that divides 2292 without a remainder.
1,2,3,4,6,12,191,382,573,764,1146,2292
Factors of 1065
List of positive integer factors of 1065 that divides 1065 without a remainder.
1,3,5,15,71,213,355,1065
Greatest Common Factor
We found the factors 2292,1065 . The biggest common factor number is the GCF number.
So the greatest common factor 2292,1065 is 3.
Lets's calculate LCM of 698,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 573058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/573058
Therefore, the GCF of Fractions 2292/698,1065/821 is 3/573058
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 698,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,821) x common factors =1 x 1 = 1
LCM(698,821) = ( 698 × 821 ) / 1
LCM(698,821) = 573058 / 1
LCM(698,821) = 573058
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 2292/698, 1065/821?
Answer: GCF of Numerators as per given numbers 2292/698, 1065/821 is
GCF of Numerators i.e. for 2292,1065 is 3
LCM of denominators i.e. for 698,821 is 573058.
Thus, GCF of Fractions is 3/573058.Finally, GCF of Fractions for 2292/698, 1065/821 is 3/573058.