GCF of 3408/874, 2908/236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3408/874, 2908/236 i.e 4/103132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3408/874, 2908/236.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3408/874,2908/236?
Given fractions are 3408/874,2908/236
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3408/874,2908/236, numerators are 3408,2908
Denominators are 874,236
The GCF of 3408,2908 is 4 .
LCM of 874,236 is 103132.
The greatest common factor of 3408/874,2908/236 = [GCF of 3408,2908]/[LCM of 874,236]= 4/103132
Therefore, the GCF of 3408/874,2908/236 is 4/103132.
To find the highest common factor of 3408,2908, we have to find the factors of both numbers and list the highest common factor.
The factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408
The factors of 2908 are 1, 2, 4, 727, 1454, 2908
The HCF of 3408,2908 is 4.
Lets's calculate GCF of 3408,2908
| 2 | 3408, 2908 |
| 2 | 1704, 1454 |
| 852, 727 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3408,2908 By Matching Biggest Common Factor Method
Now, list down the factors of 3408
:1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408
Now, list down the factors of 2908
:1,2,4,727,1454,2908
Greatest Common Factor
We found the factors 3408,2908 . The biggest common factor number is the GCF number.
So the greatest common factor 3408,2908 is 4.
Lets's calculate LCM of 874,236
| 2 | 874, 236 |
| 437, 118 |
∴ So the LCM of the given numbers is 2 x 437 x 118 = 103132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/103132
Therefore, the GCF of Fractions 3408/874,2908/236 is 4/103132
Least Common Multiple of 874,236 with GCF Formula
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 874,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,236) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,236) x common factors =2 x 1 = 2
LCM(874,236) = ( 874 × 236 ) / 2
LCM(874,236) = 206264 / 2
LCM(874,236) = 103132
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3408/874, 2908/236
1. What is the HCF of 3408,2908?
The HCF of 3408,2908 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 3408/874, 2908/236?
Answer: GCF of Numerators as per given numbers 3408/874, 2908/236 is
GCF of Numerators i.e. for 3408,2908 is 4
LCM of denominators i.e. for 874,236 is 103132.
Thus, GCF of Fractions is 4/103132.Finally, GCF of Fractions for 3408/874, 2908/236 is 4/103132.