Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 376/463,688/352
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 376,688
Greatest Common Factor of Numerators i.e. GCF of 376,688 is 8 .
LCM of Denominators means LCM of 463,352 as per the given fractions.
LCM of 463,352 is 162976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 376,688
2 | 376, 688 |
2 | 188, 344 |
2 | 94, 172 |
47, 86 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 376,688 . The biggest common factor number is the GCF number.
So the greatest common factor 376,688 is 8.
Lets's calculate LCM of 463,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 162976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/162976
Therefore, the GCF of Fractions 376/463,688/352 is 8/162976
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 463,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,352) x common factors =1 x 1 = 1
LCM(463,352) = ( 463 × 352 ) / 1
LCM(463,352) = 162976 / 1
LCM(463,352) = 162976
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 376/463, 688/352?
Answer: GCF of Numerators as per given numbers 376/463, 688/352 is
GCF of Numerators i.e. for 376,688 is 8
LCM of denominators i.e. for 463,352 is 162976.
Thus, GCF of Fractions is 8/162976.Finally, GCF of Fractions for 376/463, 688/352 is 8/162976.