Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 283/224,6652/540
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 283,6652
Greatest Common Factor of Numerators i.e. GCF of 283,6652 is 1 .
LCM of Denominators means LCM of 224,540 as per the given fractions.
LCM of 224,540 is 30240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 283,6652
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 6652
List of positive integer factors of 6652 that divides 6652 without a remainder.
1,2,4,1663,3326,6652
Greatest Common Factor
We found the factors 283,6652 . The biggest common factor number is the GCF number.
So the greatest common factor 283,6652 is 1.
Lets's calculate LCM of 224,540
2 | 224, 540 |
2 | 112, 270 |
56, 135 |
∴ So the LCM of the given numbers is 2 x 2 x 56 x 135 = 30240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30240
Therefore, the GCF of Fractions 283/224,6652/540 is 1/30240
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 224,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,540) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(224,540) x common factors =4 x 1 = 4
LCM(224,540) = ( 224 × 540 ) / 4
LCM(224,540) = 120960 / 4
LCM(224,540) = 30240
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 283/224, 6652/540?
Answer: GCF of Numerators as per given numbers 283/224, 6652/540 is
GCF of Numerators i.e. for 283,6652 is 1
LCM of denominators i.e. for 224,540 is 30240.
Thus, GCF of Fractions is 1/30240.Finally, GCF of Fractions for 283/224, 6652/540 is 1/30240.