Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 376/867,790/215,630/233
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 376,790,630
Greatest Common Factor of Numerators i.e. GCF of 376,790,630 is 2 .
LCM of Denominators means LCM of 867,215,233 as per the given fractions.
LCM of 867,215,233 is 43432365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 376,790,630
2 | 376, 790, 630 |
188, 395, 315 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 376,790,630 . The biggest common factor number is the GCF number.
So the greatest common factor 376,790,630 is 2.
Lets's calculate LCM of 867,215,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 43432365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43432365
Therefore, the GCF of Fractions 376/867,790/215,630/233 is 2/43432365
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 867,215,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,215,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,215,233) x common factors =1 x 1 = 1
LCM(867,215,233) = ( 867 × 215 × 233 ) / 1
LCM(867,215,233) = 43432365 / 1
LCM(867,215,233) = 43432365
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 376/867, 790/215, 630/233?
Answer: GCF of Numerators as per given numbers 376/867, 790/215, 630/233 is
GCF of Numerators i.e. for 376,790,630 is 2
LCM of denominators i.e. for 867,215,233 is 43432365.
Thus, GCF of Fractions is 2/43432365.Finally, GCF of Fractions for 376/867, 790/215, 630/233 is 2/43432365.