Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1269/984,3228/3370
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 1269,3228
Greatest Common Factor of Numerators i.e. GCF of 1269,3228 is 3 .
LCM of Denominators means LCM of 984,3370 as per the given fractions.
LCM of 984,3370 is 1658040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1269,3228
3 | 1269, 3228 |
423, 1076 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1269
List of positive integer factors of 1269 that divides 1269 without a remainder.
1,3,9,27,47,141,423,1269
Factors of 3228
List of positive integer factors of 3228 that divides 3228 without a remainder.
1,2,3,4,6,12,269,538,807,1076,1614,3228
Greatest Common Factor
We found the factors 1269,3228 . The biggest common factor number is the GCF number.
So the greatest common factor 1269,3228 is 3.
Lets's calculate LCM of 984,3370
2 | 984, 3370 |
492, 1685 |
∴ So the LCM of the given numbers is 2 x 492 x 1685 = 1658040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1658040
Therefore, the GCF of Fractions 1269/984,3228/3370 is 3/1658040
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 984,3370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,3370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(984,3370) x common factors =2 x 1 = 2
LCM(984,3370) = ( 984 × 3370 ) / 2
LCM(984,3370) = 3316080 / 2
LCM(984,3370) = 1658040
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 1269/984, 3228/3370?
Answer: GCF of Numerators as per given numbers 1269/984, 3228/3370 is
GCF of Numerators i.e. for 1269,3228 is 3
LCM of denominators i.e. for 984,3370 is 1658040.
Thus, GCF of Fractions is 3/1658040.Finally, GCF of Fractions for 1269/984, 3228/3370 is 3/1658040.