GCF of 6094/642, 9504/3934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6094/642, 9504/3934 i.e 22/1262814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6094/642, 9504/3934.
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 6094/642,9504/3934?
Given fractions are 6094/642,9504/3934
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 6094/642,9504/3934, numerators are 6094,9504
Denominators are 642,3934
The GCF of 6094,9504 is 22 .
LCM of 642,3934 is 1262814.
The greatest common factor of 6094/642,9504/3934 = [GCF of 6094,9504]/[LCM of 642,3934]= 22/1262814
Therefore, the GCF of 6094/642,9504/3934 is 22/1262814.
To find the highest common factor of 6094,9504, we have to find the factors of both numbers and list the highest common factor.
The factors of 6094 are 1, 2, 11, 22, 277, 554, 3047, 6094
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
The HCF of 6094,9504 is 22.
Lets's calculate GCF of 6094,9504
| 2 | 6094, 9504 |
| 11 | 3047, 4752 |
| 277, 432 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 6094,9504 By Matching Biggest Common Factor Method
Now, list down the factors of 6094
:1,2,11,22,277,554,3047,6094
Now, list down the factors of 9504
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504
Greatest Common Factor
We found the factors 6094,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 6094,9504 is 22.
Lets's calculate LCM of 642,3934
| 2 | 642, 3934 |
| 321, 1967 |
∴ So the LCM of the given numbers is 2 x 321 x 1967 = 1262814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1262814
Therefore, the GCF of Fractions 6094/642,9504/3934 is 22/1262814
Least Common Multiple of 642,3934 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 642,3934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,3934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,3934) x common factors =2 x 1 = 2
LCM(642,3934) = ( 642 × 3934 ) / 2
LCM(642,3934) = 2525628 / 2
LCM(642,3934) = 1262814
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FAQs on GCF of Fractions of 6094/642, 9504/3934
1. What is the HCF of 6094,9504?
The HCF of 6094,9504 is 22
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 6094/642, 9504/3934?
Answer: GCF of Numerators as per given numbers 6094/642, 9504/3934 is
GCF of Numerators i.e. for 6094,9504 is 22
LCM of denominators i.e. for 642,3934 is 1262814.
Thus, GCF of Fractions is 22/1262814.Finally, GCF of Fractions for 6094/642, 9504/3934 is 22/1262814.