Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4608/26,7007/182
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 4608,7007
Greatest Common Factor of Numerators i.e. GCF of 4608,7007 is 1 .
LCM of Denominators means LCM of 26,182 as per the given fractions.
LCM of 26,182 is 182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4608,7007
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4608
List of positive integer factors of 4608 that divides 4608 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608
Factors of 7007
List of positive integer factors of 7007 that divides 7007 without a remainder.
1,7,11,13,49,77,91,143,539,637,1001,7007
Greatest Common Factor
We found the factors 4608,7007 . The biggest common factor number is the GCF number.
So the greatest common factor 4608,7007 is 1.
Lets's calculate LCM of 26,182
2 | 26, 182 |
13 | 13, 91 |
1, 7 |
∴ So the LCM of the given numbers is 2 x 13 x 1 x 7 = 182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182
Therefore, the GCF of Fractions 4608/26,7007/182 is 1/182
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 26,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,182) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(26,182) x common factors =26 x 1 = 26
LCM(26,182) = ( 26 × 182 ) / 26
LCM(26,182) = 4732 / 26
LCM(26,182) = 182
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 4608/26, 7007/182?
Answer: GCF of Numerators as per given numbers 4608/26, 7007/182 is
GCF of Numerators i.e. for 4608,7007 is 1
LCM of denominators i.e. for 26,182 is 182.
Thus, GCF of Fractions is 1/182.Finally, GCF of Fractions for 4608/26, 7007/182 is 1/182.