Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 705/626,1692/315
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 705,1692
Greatest Common Factor of Numerators i.e. GCF of 705,1692 is 141 .
LCM of Denominators means LCM of 626,315 as per the given fractions.
LCM of 626,315 is 197190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 705,1692
3 | 705, 1692 |
47 | 235, 564 |
5, 12 |
∴ So the GCF of the given numbers is 3 x 47 = 141
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 1692
List of positive integer factors of 1692 that divides 1692 without a remainder.
1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Greatest Common Factor
We found the factors 705,1692 . The biggest common factor number is the GCF number.
So the greatest common factor 705,1692 is 141.
Lets's calculate LCM of 626,315
Given numbers has no common factors except 1. So, there LCM is their product i.e 197190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 141/197190
Therefore, the GCF of Fractions 705/626,1692/315 is 141/197190
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 626,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,315) x common factors =1 x 1 = 1
LCM(626,315) = ( 626 × 315 ) / 1
LCM(626,315) = 197190 / 1
LCM(626,315) = 197190
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 705/626, 1692/315?
Answer: GCF of Numerators as per given numbers 705/626, 1692/315 is
GCF of Numerators i.e. for 705,1692 is 141
LCM of denominators i.e. for 626,315 is 197190.
Thus, GCF of Fractions is 141/197190.Finally, GCF of Fractions for 705/626, 1692/315 is 141/197190.