Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 252/51,702/5274
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 252,702
Greatest Common Factor of Numerators i.e. GCF of 252,702 is 18 .
LCM of Denominators means LCM of 51,5274 as per the given fractions.
LCM of 51,5274 is 89658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 252,702
2 | 252, 702 |
3 | 126, 351 |
3 | 42, 117 |
14, 39 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 252,702 . The biggest common factor number is the GCF number.
So the greatest common factor 252,702 is 18.
Lets's calculate LCM of 51,5274
3 | 51, 5274 |
17, 1758 |
∴ So the LCM of the given numbers is 3 x 17 x 1758 = 89658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/89658
Therefore, the GCF of Fractions 252/51,702/5274 is 18/89658
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 51,5274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,5274) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,5274) x common factors =3 x 1 = 3
LCM(51,5274) = ( 51 × 5274 ) / 3
LCM(51,5274) = 268974 / 3
LCM(51,5274) = 89658
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 252/51, 702/5274?
Answer: GCF of Numerators as per given numbers 252/51, 702/5274 is
GCF of Numerators i.e. for 252,702 is 18
LCM of denominators i.e. for 51,5274 is 89658.
Thus, GCF of Fractions is 18/89658.Finally, GCF of Fractions for 252/51, 702/5274 is 18/89658.