Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 511/628,694/122,767/707
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 511,694,767
Greatest Common Factor of Numerators i.e. GCF of 511,694,767 is 1 .
LCM of Denominators means LCM of 628,122,707 as per the given fractions.
LCM of 628,122,707 is 27083756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 511,694,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 511,694,767 . The biggest common factor number is the GCF number.
So the greatest common factor 511,694,767 is 1.
Lets's calculate LCM of 628,122,707
2 | 628, 122, 707 |
314, 61, 707 |
∴ So the LCM of the given numbers is 2 x 314 x 61 x 707 = 27083756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27083756
Therefore, the GCF of Fractions 511/628,694/122,767/707 is 1/27083756
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 628,122,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,122,707) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(628,122,707) x common factors =1 x 2 = 2
LCM(628,122,707) = ( 628 × 122 × 707 ) / 2
LCM(628,122,707) = 54167512 / 2
LCM(628,122,707) = 27083756
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 511/628, 694/122, 767/707?
Answer: GCF of Numerators as per given numbers 511/628, 694/122, 767/707 is
GCF of Numerators i.e. for 511,694,767 is 1
LCM of denominators i.e. for 628,122,707 is 27083756.
Thus, GCF of Fractions is 1/27083756.Finally, GCF of Fractions for 511/628, 694/122, 767/707 is 1/27083756.