Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/695,774/358,361/927
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 62,774,361
Greatest Common Factor of Numerators i.e. GCF of 62,774,361 is 1 .
LCM of Denominators means LCM of 695,358,927 as per the given fractions.
LCM of 695,358,927 is 230646870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,774,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 62,774,361 . The biggest common factor number is the GCF number.
So the greatest common factor 62,774,361 is 1.
Lets's calculate LCM of 695,358,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 230646870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230646870
Therefore, the GCF of Fractions 62/695,774/358,361/927 is 1/230646870
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 695,358,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,358,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,358,927) x common factors =1 x 1 = 1
LCM(695,358,927) = ( 695 × 358 × 927 ) / 1
LCM(695,358,927) = 230646870 / 1
LCM(695,358,927) = 230646870
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 62/695, 774/358, 361/927?
Answer: GCF of Numerators as per given numbers 62/695, 774/358, 361/927 is
GCF of Numerators i.e. for 62,774,361 is 1
LCM of denominators i.e. for 695,358,927 is 230646870.
Thus, GCF of Fractions is 1/230646870.Finally, GCF of Fractions for 62/695, 774/358, 361/927 is 1/230646870.