Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/669,7785/1337
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 84,7785
Greatest Common Factor of Numerators i.e. GCF of 84,7785 is 3 .
LCM of Denominators means LCM of 669,1337 as per the given fractions.
LCM of 669,1337 is 894453 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,7785
3 | 84, 7785 |
28, 2595 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 7785
List of positive integer factors of 7785 that divides 7785 without a remainder.
1,3,5,9,15,45,173,519,865,1557,2595,7785
Greatest Common Factor
We found the factors 84,7785 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7785 is 3.
Lets's calculate LCM of 669,1337
Given numbers has no common factors except 1. So, there LCM is their product i.e 894453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/894453
Therefore, the GCF of Fractions 84/669,7785/1337 is 3/894453
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 669,1337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,1337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,1337) x common factors =1 x 1 = 1
LCM(669,1337) = ( 669 × 1337 ) / 1
LCM(669,1337) = 894453 / 1
LCM(669,1337) = 894453
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 84/669, 7785/1337?
Answer: GCF of Numerators as per given numbers 84/669, 7785/1337 is
GCF of Numerators i.e. for 84,7785 is 3
LCM of denominators i.e. for 669,1337 is 894453.
Thus, GCF of Fractions is 3/894453.Finally, GCF of Fractions for 84/669, 7785/1337 is 3/894453.