GCF of 6844/542, 9864/754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6844/542, 9864/754 i.e 4/204334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6844/542, 9864/754.
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 6844/542,9864/754?
Given fractions are 6844/542,9864/754
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 6844/542,9864/754, numerators are 6844,9864
Denominators are 542,754
The GCF of 6844,9864 is 4 .
LCM of 542,754 is 204334.
The greatest common factor of 6844/542,9864/754 = [GCF of 6844,9864]/[LCM of 542,754]= 4/204334
Therefore, the GCF of 6844/542,9864/754 is 4/204334.
To find the highest common factor of 6844,9864, we have to find the factors of both numbers and list the highest common factor.
The factors of 6844 are 1, 2, 4, 29, 58, 59, 116, 118, 236, 1711, 3422, 6844
The factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864
The HCF of 6844,9864 is 4.
Lets's calculate GCF of 6844,9864
| 2 | 6844, 9864 |
| 2 | 3422, 4932 |
| 1711, 2466 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6844,9864 By Matching Biggest Common Factor Method
Now, list down the factors of 6844
:1,2,4,29,58,59,116,118,236,1711,3422,6844
Now, list down the factors of 9864
:1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864
Greatest Common Factor
We found the factors 6844,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 6844,9864 is 4.
Lets's calculate LCM of 542,754
| 2 | 542, 754 |
| 271, 377 |
∴ So the LCM of the given numbers is 2 x 271 x 377 = 204334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/204334
Therefore, the GCF of Fractions 6844/542,9864/754 is 4/204334
Least Common Multiple of 542,754 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 542,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,754) x common factors =2 x 1 = 2
LCM(542,754) = ( 542 × 754 ) / 2
LCM(542,754) = 408668 / 2
LCM(542,754) = 204334
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FAQs on GCF of Fractions of 6844/542, 9864/754
1. What is the HCF of 6844,9864?
The HCF of 6844,9864 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 6844/542, 9864/754?
Answer: GCF of Numerators as per given numbers 6844/542, 9864/754 is
GCF of Numerators i.e. for 6844,9864 is 4
LCM of denominators i.e. for 542,754 is 204334.
Thus, GCF of Fractions is 4/204334.Finally, GCF of Fractions for 6844/542, 9864/754 is 4/204334.