Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/77,654/23,693/755
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 878,654,693
Greatest Common Factor of Numerators i.e. GCF of 878,654,693 is 1 .
LCM of Denominators means LCM of 77,23,755 as per the given fractions.
LCM of 77,23,755 is 1337105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 878,654,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 878,654,693 . The biggest common factor number is the GCF number.
So the greatest common factor 878,654,693 is 1.
Lets's calculate LCM of 77,23,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 1337105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1337105
Therefore, the GCF of Fractions 878/77,654/23,693/755 is 1/1337105
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 77,23,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,23,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,23,755) x common factors =1 x 1 = 1
LCM(77,23,755) = ( 77 × 23 × 755 ) / 1
LCM(77,23,755) = 1337105 / 1
LCM(77,23,755) = 1337105
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 878/77, 654/23, 693/755?
Answer: GCF of Numerators as per given numbers 878/77, 654/23, 693/755 is
GCF of Numerators i.e. for 878,654,693 is 1
LCM of denominators i.e. for 77,23,755 is 1337105.
Thus, GCF of Fractions is 1/1337105.Finally, GCF of Fractions for 878/77, 654/23, 693/755 is 1/1337105.