Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/65,594/53,705/202
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 42,594,705
Greatest Common Factor of Numerators i.e. GCF of 42,594,705 is 3 .
LCM of Denominators means LCM of 65,53,202 as per the given fractions.
LCM of 65,53,202 is 695890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,594,705
3 | 42, 594, 705 |
14, 198, 235 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 42,594,705 . The biggest common factor number is the GCF number.
So the greatest common factor 42,594,705 is 3.
Lets's calculate LCM of 65,53,202
Given numbers has no common factors except 1. So, there LCM is their product i.e 695890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/695890
Therefore, the GCF of Fractions 42/65,594/53,705/202 is 3/695890
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 65,53,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,53,202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,53,202) x common factors =1 x 1 = 1
LCM(65,53,202) = ( 65 × 53 × 202 ) / 1
LCM(65,53,202) = 695890 / 1
LCM(65,53,202) = 695890
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 42/65, 594/53, 705/202?
Answer: GCF of Numerators as per given numbers 42/65, 594/53, 705/202 is
GCF of Numerators i.e. for 42,594,705 is 3
LCM of denominators i.e. for 65,53,202 is 695890.
Thus, GCF of Fractions is 3/695890.Finally, GCF of Fractions for 42/65, 594/53, 705/202 is 3/695890.