Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/69,39/57,12/636,432/220
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 7,39,12,432
Greatest Common Factor of Numerators i.e. GCF of 7,39,12,432 is 1 .
LCM of Denominators means LCM of 69,57,636,220 as per the given fractions.
LCM of 69,57,636,220 is 15286260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,39,12,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 7,39,12,432 . The biggest common factor number is the GCF number.
So the greatest common factor 7,39,12,432 is 1.
Lets's calculate LCM of 69,57,636,220
2 | 69, 57, 636, 220 |
2 | 69, 57, 318, 110 |
3 | 69, 57, 159, 55 |
23, 19, 53, 55 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 19 x 53 x 55 = 15286260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15286260
Therefore, the GCF of Fractions 7/69,39/57,12/636,432/220 is 1/15286260
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 69,57,636,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,57,636,220) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(69,57,636,220) x common factors =1 x 36 = 36
LCM(69,57,636,220) = ( 69 × 57 × 636 × 220 ) / 36
LCM(69,57,636,220) = 550305360 / 36
LCM(69,57,636,220) = 15286260
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 7/69, 39/57, 12/636, 432/220?
Answer: GCF of Numerators as per given numbers 7/69, 39/57, 12/636, 432/220 is
GCF of Numerators i.e. for 7,39,12,432 is 1
LCM of denominators i.e. for 69,57,636,220 is 15286260.
Thus, GCF of Fractions is 1/15286260.Finally, GCF of Fractions for 7/69, 39/57, 12/636, 432/220 is 1/15286260.