Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 672/833,338/982,820/823
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 672,338,820
Greatest Common Factor of Numerators i.e. GCF of 672,338,820 is 2 .
LCM of Denominators means LCM of 833,982,823 as per the given fractions.
LCM of 833,982,823 is 673218938 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 672,338,820
2 | 672, 338, 820 |
336, 169, 410 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 672,338,820 . The biggest common factor number is the GCF number.
So the greatest common factor 672,338,820 is 2.
Lets's calculate LCM of 833,982,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 673218938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/673218938
Therefore, the GCF of Fractions 672/833,338/982,820/823 is 2/673218938
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 833,982,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,982,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,982,823) x common factors =1 x 1 = 1
LCM(833,982,823) = ( 833 × 982 × 823 ) / 1
LCM(833,982,823) = 673218938 / 1
LCM(833,982,823) = 673218938
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 672/833, 338/982, 820/823?
Answer: GCF of Numerators as per given numbers 672/833, 338/982, 820/823 is
GCF of Numerators i.e. for 672,338,820 is 2
LCM of denominators i.e. for 833,982,823 is 673218938.
Thus, GCF of Fractions is 2/673218938.Finally, GCF of Fractions for 672/833, 338/982, 820/823 is 2/673218938.