Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3408/979,3752/2924
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 3408,3752
Greatest Common Factor of Numerators i.e. GCF of 3408,3752 is 8 .
LCM of Denominators means LCM of 979,2924 as per the given fractions.
LCM of 979,2924 is 2862596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3408,3752
2 | 3408, 3752 |
2 | 1704, 1876 |
2 | 852, 938 |
426, 469 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 3408
List of positive integer factors of 3408 that divides 3408 without a remainder.
1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408
Factors of 3752
List of positive integer factors of 3752 that divides 3752 without a remainder.
1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752
Greatest Common Factor
We found the factors 3408,3752 . The biggest common factor number is the GCF number.
So the greatest common factor 3408,3752 is 8.
Lets's calculate LCM of 979,2924
Given numbers has no common factors except 1. So, there LCM is their product i.e 2862596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2862596
Therefore, the GCF of Fractions 3408/979,3752/2924 is 8/2862596
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 979,2924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,2924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,2924) x common factors =1 x 1 = 1
LCM(979,2924) = ( 979 × 2924 ) / 1
LCM(979,2924) = 2862596 / 1
LCM(979,2924) = 2862596
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 3408/979, 3752/2924?
Answer: GCF of Numerators as per given numbers 3408/979, 3752/2924 is
GCF of Numerators i.e. for 3408,3752 is 8
LCM of denominators i.e. for 979,2924 is 2862596.
Thus, GCF of Fractions is 8/2862596.Finally, GCF of Fractions for 3408/979, 3752/2924 is 8/2862596.