GCF of 6784/542, 4944/9734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6784/542, 4944/9734 i.e 16/2637914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6784/542, 4944/9734.
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 6784/542,4944/9734?
Given fractions are 6784/542,4944/9734
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 6784/542,4944/9734, numerators are 6784,4944
Denominators are 542,9734
The GCF of 6784,4944 is 16 .
LCM of 542,9734 is 2637914.
The greatest common factor of 6784/542,4944/9734 = [GCF of 6784,4944]/[LCM of 542,9734]= 16/2637914
Therefore, the GCF of 6784/542,4944/9734 is 16/2637914.
To find the highest common factor of 6784,4944, we have to find the factors of both numbers and list the highest common factor.
The factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784
The factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944
The HCF of 6784,4944 is 16.
Lets's calculate GCF of 6784,4944
| 2 | 6784, 4944 |
| 2 | 3392, 2472 |
| 2 | 1696, 1236 |
| 2 | 848, 618 |
| 424, 309 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 6784,4944 By Matching Biggest Common Factor Method
Now, list down the factors of 6784
:1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784
Now, list down the factors of 4944
:1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944
Greatest Common Factor
We found the factors 6784,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 6784,4944 is 16.
Lets's calculate LCM of 542,9734
| 2 | 542, 9734 |
| 271, 4867 |
∴ So the LCM of the given numbers is 2 x 271 x 4867 = 2637914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2637914
Therefore, the GCF of Fractions 6784/542,4944/9734 is 16/2637914
Least Common Multiple of 542,9734 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 542,9734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,9734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,9734) x common factors =2 x 1 = 2
LCM(542,9734) = ( 542 × 9734 ) / 2
LCM(542,9734) = 5275828 / 2
LCM(542,9734) = 2637914
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FAQs on GCF of Fractions of 6784/542, 4944/9734
1. What is the HCF of 6784,4944?
The HCF of 6784,4944 is 16
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 6784/542, 4944/9734?
Answer: GCF of Numerators as per given numbers 6784/542, 4944/9734 is
GCF of Numerators i.e. for 6784,4944 is 16
LCM of denominators i.e. for 542,9734 is 2637914.
Thus, GCF of Fractions is 16/2637914.Finally, GCF of Fractions for 6784/542, 4944/9734 is 16/2637914.