Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/51,354/97,635/575
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 807,354,635
Greatest Common Factor of Numerators i.e. GCF of 807,354,635 is 1 .
LCM of Denominators means LCM of 51,97,575 as per the given fractions.
LCM of 51,97,575 is 2844525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 807,354,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 807,354,635 . The biggest common factor number is the GCF number.
So the greatest common factor 807,354,635 is 1.
Lets's calculate LCM of 51,97,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 2844525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2844525
Therefore, the GCF of Fractions 807/51,354/97,635/575 is 1/2844525
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 51,97,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,97,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,97,575) x common factors =1 x 1 = 1
LCM(51,97,575) = ( 51 × 97 × 575 ) / 1
LCM(51,97,575) = 2844525 / 1
LCM(51,97,575) = 2844525
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 807/51, 354/97, 635/575?
Answer: GCF of Numerators as per given numbers 807/51, 354/97, 635/575 is
GCF of Numerators i.e. for 807,354,635 is 1
LCM of denominators i.e. for 51,97,575 is 2844525.
Thus, GCF of Fractions is 1/2844525.Finally, GCF of Fractions for 807/51, 354/97, 635/575 is 1/2844525.