Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 336/632,8375/3580
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 336,8375
Greatest Common Factor of Numerators i.e. GCF of 336,8375 is 1 .
LCM of Denominators means LCM of 632,3580 as per the given fractions.
LCM of 632,3580 is 565640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 336,8375
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 8375
List of positive integer factors of 8375 that divides 8375 without a remainder.
1,5,25,67,125,335,1675,8375
Greatest Common Factor
We found the factors 336,8375 . The biggest common factor number is the GCF number.
So the greatest common factor 336,8375 is 1.
Lets's calculate LCM of 632,3580
2 | 632, 3580 |
2 | 316, 1790 |
158, 895 |
∴ So the LCM of the given numbers is 2 x 2 x 158 x 895 = 565640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565640
Therefore, the GCF of Fractions 336/632,8375/3580 is 1/565640
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 632,3580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,3580) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(632,3580) x common factors =4 x 1 = 4
LCM(632,3580) = ( 632 × 3580 ) / 4
LCM(632,3580) = 2262560 / 4
LCM(632,3580) = 565640
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 336/632, 8375/3580?
Answer: GCF of Numerators as per given numbers 336/632, 8375/3580 is
GCF of Numerators i.e. for 336,8375 is 1
LCM of denominators i.e. for 632,3580 is 565640.
Thus, GCF of Fractions is 1/565640.Finally, GCF of Fractions for 336/632, 8375/3580 is 1/565640.