Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/347,9520/466
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 848,9520
Greatest Common Factor of Numerators i.e. GCF of 848,9520 is 16 .
LCM of Denominators means LCM of 347,466 as per the given fractions.
LCM of 347,466 is 161702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,9520
2 | 848, 9520 |
2 | 424, 4760 |
2 | 212, 2380 |
2 | 106, 1190 |
53, 595 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 9520
List of positive integer factors of 9520 that divides 9520 without a remainder.
1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520
Greatest Common Factor
We found the factors 848,9520 . The biggest common factor number is the GCF number.
So the greatest common factor 848,9520 is 16.
Lets's calculate LCM of 347,466
Given numbers has no common factors except 1. So, there LCM is their product i.e 161702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/161702
Therefore, the GCF of Fractions 848/347,9520/466 is 16/161702
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 347,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,466) x common factors =1 x 1 = 1
LCM(347,466) = ( 347 × 466 ) / 1
LCM(347,466) = 161702 / 1
LCM(347,466) = 161702
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 848/347, 9520/466?
Answer: GCF of Numerators as per given numbers 848/347, 9520/466 is
GCF of Numerators i.e. for 848,9520 is 16
LCM of denominators i.e. for 347,466 is 161702.
Thus, GCF of Fractions is 16/161702.Finally, GCF of Fractions for 848/347, 9520/466 is 16/161702.