Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 702/504,5162/705
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 702,5162
Greatest Common Factor of Numerators i.e. GCF of 702,5162 is 2 .
LCM of Denominators means LCM of 504,705 as per the given fractions.
LCM of 504,705 is 118440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 702,5162
2 | 702, 5162 |
351, 2581 |
∴ So the GCF of the given numbers is 2 = 2
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
Factors of 5162
List of positive integer factors of 5162 that divides 5162 without a remainder.
1,2,29,58,89,178,2581,5162
Greatest Common Factor
We found the factors 702,5162 . The biggest common factor number is the GCF number.
So the greatest common factor 702,5162 is 2.
Lets's calculate LCM of 504,705
3 | 504, 705 |
168, 235 |
∴ So the LCM of the given numbers is 3 x 168 x 235 = 118440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118440
Therefore, the GCF of Fractions 702/504,5162/705 is 2/118440
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 504,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,705) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(504,705) x common factors =3 x 1 = 3
LCM(504,705) = ( 504 × 705 ) / 3
LCM(504,705) = 355320 / 3
LCM(504,705) = 118440
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 702/504, 5162/705?
Answer: GCF of Numerators as per given numbers 702/504, 5162/705 is
GCF of Numerators i.e. for 702,5162 is 2
LCM of denominators i.e. for 504,705 is 118440.
Thus, GCF of Fractions is 2/118440.Finally, GCF of Fractions for 702/504, 5162/705 is 2/118440.