GCF of 3384/634, 7064/8388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3384/634, 7064/8388 i.e 8/2658996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3384/634, 7064/8388.
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 3384/634,7064/8388?
Given fractions are 3384/634,7064/8388
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 3384/634,7064/8388, numerators are 3384,7064
Denominators are 634,8388
The GCF of 3384,7064 is 8 .
LCM of 634,8388 is 2658996.
The greatest common factor of 3384/634,7064/8388 = [GCF of 3384,7064]/[LCM of 634,8388]= 8/2658996
Therefore, the GCF of 3384/634,7064/8388 is 8/2658996.
To find the highest common factor of 3384,7064, we have to find the factors of both numbers and list the highest common factor.
The factors of 3384 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The HCF of 3384,7064 is 8.
Lets's calculate GCF of 3384,7064
| 2 | 3384, 7064 |
| 2 | 1692, 3532 |
| 2 | 846, 1766 |
| 423, 883 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3384,7064 By Matching Biggest Common Factor Method
Now, list down the factors of 3384
:1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Greatest Common Factor
We found the factors 3384,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 3384,7064 is 8.
Lets's calculate LCM of 634,8388
| 2 | 634, 8388 |
| 317, 4194 |
∴ So the LCM of the given numbers is 2 x 317 x 4194 = 2658996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2658996
Therefore, the GCF of Fractions 3384/634,7064/8388 is 8/2658996
Least Common Multiple of 634,8388 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 634,8388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,8388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,8388) x common factors =2 x 1 = 2
LCM(634,8388) = ( 634 × 8388 ) / 2
LCM(634,8388) = 5317992 / 2
LCM(634,8388) = 2658996
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3384/634, 7064/8388
1. What is the HCF of 3384,7064?
The HCF of 3384,7064 is 8
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 3384/634, 7064/8388?
Answer: GCF of Numerators as per given numbers 3384/634, 7064/8388 is
GCF of Numerators i.e. for 3384,7064 is 8
LCM of denominators i.e. for 634,8388 is 2658996.
Thus, GCF of Fractions is 8/2658996.Finally, GCF of Fractions for 3384/634, 7064/8388 is 8/2658996.