Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/626,58/391,820/746
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 70,58,820
Greatest Common Factor of Numerators i.e. GCF of 70,58,820 is 2 .
LCM of Denominators means LCM of 626,391,746 as per the given fractions.
LCM of 626,391,746 is 91297718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,58,820
2 | 70, 58, 820 |
35, 29, 410 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
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 70,58,820 . The biggest common factor number is the GCF number.
So the greatest common factor 70,58,820 is 2.
Lets's calculate LCM of 626,391,746
2 | 626, 391, 746 |
313, 391, 373 |
∴ So the LCM of the given numbers is 2 x 313 x 391 x 373 = 91297718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91297718
Therefore, the GCF of Fractions 70/626,58/391,820/746 is 2/91297718
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 626,391,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,391,746) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(626,391,746) x common factors =1 x 2 = 2
LCM(626,391,746) = ( 626 × 391 × 746 ) / 2
LCM(626,391,746) = 182595436 / 2
LCM(626,391,746) = 91297718
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 70/626, 58/391, 820/746?
Answer: GCF of Numerators as per given numbers 70/626, 58/391, 820/746 is
GCF of Numerators i.e. for 70,58,820 is 2
LCM of denominators i.e. for 626,391,746 is 91297718.
Thus, GCF of Fractions is 2/91297718.Finally, GCF of Fractions for 70/626, 58/391, 820/746 is 2/91297718.