Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/932,420/125,535/919
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 749,420,535
Greatest Common Factor of Numerators i.e. GCF of 749,420,535 is 1 .
LCM of Denominators means LCM of 932,125,919 as per the given fractions.
LCM of 932,125,919 is 107063500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 749,420,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 749,420,535 . The biggest common factor number is the GCF number.
So the greatest common factor 749,420,535 is 1.
Lets's calculate LCM of 932,125,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 107063500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107063500
Therefore, the GCF of Fractions 749/932,420/125,535/919 is 1/107063500
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 932,125,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,125,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,125,919) x common factors =1 x 1 = 1
LCM(932,125,919) = ( 932 × 125 × 919 ) / 1
LCM(932,125,919) = 107063500 / 1
LCM(932,125,919) = 107063500
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 749/932, 420/125, 535/919?
Answer: GCF of Numerators as per given numbers 749/932, 420/125, 535/919 is
GCF of Numerators i.e. for 749,420,535 is 1
LCM of denominators i.e. for 932,125,919 is 107063500.
Thus, GCF of Fractions is 1/107063500.Finally, GCF of Fractions for 749/932, 420/125, 535/919 is 1/107063500.