Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/926,475/109,424/160
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 34,475,424
Greatest Common Factor of Numerators i.e. GCF of 34,475,424 is 1 .
LCM of Denominators means LCM of 926,109,160 as per the given fractions.
LCM of 926,109,160 is 8074720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,475,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 34,475,424 . The biggest common factor number is the GCF number.
So the greatest common factor 34,475,424 is 1.
Lets's calculate LCM of 926,109,160
2 | 926, 109, 160 |
463, 109, 80 |
∴ So the LCM of the given numbers is 2 x 463 x 109 x 80 = 8074720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8074720
Therefore, the GCF of Fractions 34/926,475/109,424/160 is 1/8074720
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 926,109,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,109,160) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(926,109,160) x common factors =1 x 2 = 2
LCM(926,109,160) = ( 926 × 109 × 160 ) / 2
LCM(926,109,160) = 16149440 / 2
LCM(926,109,160) = 8074720
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 34/926, 475/109, 424/160?
Answer: GCF of Numerators as per given numbers 34/926, 475/109, 424/160 is
GCF of Numerators i.e. for 34,475,424 is 1
LCM of denominators i.e. for 926,109,160 is 8074720.
Thus, GCF of Fractions is 1/8074720.Finally, GCF of Fractions for 34/926, 475/109, 424/160 is 1/8074720.