Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/35,10/66,14/574,505/994
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 7,10,14,505
Greatest Common Factor of Numerators i.e. GCF of 7,10,14,505 is 1 .
LCM of Denominators means LCM of 35,66,574,994 as per the given fractions.
LCM of 35,66,574,994 is 6724410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,10,14,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Greatest Common Factor
We found the factors 7,10,14,505 . The biggest common factor number is the GCF number.
So the greatest common factor 7,10,14,505 is 1.
Lets's calculate LCM of 35,66,574,994
2 | 35, 66, 574, 994 |
7 | 35, 33, 287, 497 |
5, 33, 41, 71 |
∴ So the LCM of the given numbers is 2 x 7 x 5 x 33 x 41 x 71 = 6724410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6724410
Therefore, the GCF of Fractions 7/35,10/66,14/574,505/994 is 1/6724410
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 35,66,574,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,66,574,994) = 1
common factors(in case of two or more numbers have common factors) = 196
GCF(35,66,574,994) x common factors =1 x 196 = 196
LCM(35,66,574,994) = ( 35 × 66 × 574 × 994 ) / 196
LCM(35,66,574,994) = 1317984360 / 196
LCM(35,66,574,994) = 6724410
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 7/35, 10/66, 14/574, 505/994?
Answer: GCF of Numerators as per given numbers 7/35, 10/66, 14/574, 505/994 is
GCF of Numerators i.e. for 7,10,14,505 is 1
LCM of denominators i.e. for 35,66,574,994 is 6724410.
Thus, GCF of Fractions is 1/6724410.Finally, GCF of Fractions for 7/35, 10/66, 14/574, 505/994 is 1/6724410.