Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 711/9088,622/6368
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 711,622
Greatest Common Factor of Numerators i.e. GCF of 711,622 is 1 .
LCM of Denominators means LCM of 9088,6368 as per the given fractions.
LCM of 9088,6368 is 1808512 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 711,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 711,622 . The biggest common factor number is the GCF number.
So the greatest common factor 711,622 is 1.
Lets's calculate LCM of 9088,6368
2 | 9088, 6368 |
2 | 4544, 3184 |
2 | 2272, 1592 |
2 | 1136, 796 |
2 | 568, 398 |
284, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 284 x 199 = 1808512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1808512
Therefore, the GCF of Fractions 711/9088,622/6368 is 1/1808512
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 9088,6368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9088,6368) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(9088,6368) x common factors =32 x 1 = 32
LCM(9088,6368) = ( 9088 × 6368 ) / 32
LCM(9088,6368) = 57872384 / 32
LCM(9088,6368) = 1808512
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 711/9088, 622/6368?
Answer: GCF of Numerators as per given numbers 711/9088, 622/6368 is
GCF of Numerators i.e. for 711,622 is 1
LCM of denominators i.e. for 9088,6368 is 1808512.
Thus, GCF of Fractions is 1/1808512.Finally, GCF of Fractions for 711/9088, 622/6368 is 1/1808512.