Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4814/560,7682/9062
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 4814,7682
Greatest Common Factor of Numerators i.e. GCF of 4814,7682 is 2 .
LCM of Denominators means LCM of 560,9062 as per the given fractions.
LCM of 560,9062 is 2537360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4814,7682
2 | 4814, 7682 |
2407, 3841 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4814
List of positive integer factors of 4814 that divides 4814 without a remainder.
1,2,29,58,83,166,2407,4814
Factors of 7682
List of positive integer factors of 7682 that divides 7682 without a remainder.
1,2,23,46,167,334,3841,7682
Greatest Common Factor
We found the factors 4814,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 4814,7682 is 2.
Lets's calculate LCM of 560,9062
2 | 560, 9062 |
280, 4531 |
∴ So the LCM of the given numbers is 2 x 280 x 4531 = 2537360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2537360
Therefore, the GCF of Fractions 4814/560,7682/9062 is 2/2537360
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 560,9062 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,9062) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(560,9062) x common factors =2 x 1 = 2
LCM(560,9062) = ( 560 × 9062 ) / 2
LCM(560,9062) = 5074720 / 2
LCM(560,9062) = 2537360
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 4814/560, 7682/9062?
Answer: GCF of Numerators as per given numbers 4814/560, 7682/9062 is
GCF of Numerators i.e. for 4814,7682 is 2
LCM of denominators i.e. for 560,9062 is 2537360.
Thus, GCF of Fractions is 2/2537360.Finally, GCF of Fractions for 4814/560, 7682/9062 is 2/2537360.