Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/50,24/35,45/112,853/295
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 7,24,45,853
Greatest Common Factor of Numerators i.e. GCF of 7,24,45,853 is 1 .
LCM of Denominators means LCM of 50,35,112,295 as per the given fractions.
LCM of 50,35,112,295 is 165200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,24,45,853
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Greatest Common Factor
We found the factors 7,24,45,853 . The biggest common factor number is the GCF number.
So the greatest common factor 7,24,45,853 is 1.
Lets's calculate LCM of 50,35,112,295
2 | 50, 35, 112, 295 |
5 | 25, 35, 56, 295 |
7 | 5, 7, 56, 59 |
5, 1, 8, 59 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 5 x 1 x 8 x 59 = 165200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165200
Therefore, the GCF of Fractions 7/50,24/35,45/112,853/295 is 1/165200
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 50,35,112,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,35,112,295) = 1
common factors(in case of two or more numbers have common factors) = 350
GCF(50,35,112,295) x common factors =1 x 350 = 350
LCM(50,35,112,295) = ( 50 × 35 × 112 × 295 ) / 350
LCM(50,35,112,295) = 57820000 / 350
LCM(50,35,112,295) = 165200
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 7/50, 24/35, 45/112, 853/295?
Answer: GCF of Numerators as per given numbers 7/50, 24/35, 45/112, 853/295 is
GCF of Numerators i.e. for 7,24,45,853 is 1
LCM of denominators i.e. for 50,35,112,295 is 165200.
Thus, GCF of Fractions is 1/165200.Finally, GCF of Fractions for 7/50, 24/35, 45/112, 853/295 is 1/165200.