GCF of 5364/104, 6219/6944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5364/104, 6219/6944 i.e 9/90272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5364/104, 6219/6944.
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 5364/104,6219/6944?
Given fractions are 5364/104,6219/6944
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 5364/104,6219/6944, numerators are 5364,6219
Denominators are 104,6944
The GCF of 5364,6219 is 9 .
LCM of 104,6944 is 90272.
The greatest common factor of 5364/104,6219/6944 = [GCF of 5364,6219]/[LCM of 104,6944]= 9/90272
Therefore, the GCF of 5364/104,6219/6944 is 9/90272.
To find the highest common factor of 5364,6219, we have to find the factors of both numbers and list the highest common factor.
The factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364
The factors of 6219 are 1, 3, 9, 691, 2073, 6219
The HCF of 5364,6219 is 9.
Lets's calculate GCF of 5364,6219
| 3 | 5364, 6219 |
| 3 | 1788, 2073 |
| 596, 691 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5364,6219 By Matching Biggest Common Factor Method
Now, list down the factors of 5364
:1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364
Now, list down the factors of 6219
:1,3,9,691,2073,6219
Greatest Common Factor
We found the factors 5364,6219 . The biggest common factor number is the GCF number.
So the greatest common factor 5364,6219 is 9.
Lets's calculate LCM of 104,6944
| 2 | 104, 6944 |
| 2 | 52, 3472 |
| 2 | 26, 1736 |
| 13, 868 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 868 = 90272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/90272
Therefore, the GCF of Fractions 5364/104,6219/6944 is 9/90272
Least Common Multiple of 104,6944 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 104,6944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,6944) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(104,6944) x common factors =8 x 1 = 8
LCM(104,6944) = ( 104 × 6944 ) / 8
LCM(104,6944) = 722176 / 8
LCM(104,6944) = 90272
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FAQs on GCF of Fractions of 5364/104, 6219/6944
1. What is the HCF of 5364,6219?
The HCF of 5364,6219 is 9
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 5364/104, 6219/6944?
Answer: GCF of Numerators as per given numbers 5364/104, 6219/6944 is
GCF of Numerators i.e. for 5364,6219 is 9
LCM of denominators i.e. for 104,6944 is 90272.
Thus, GCF of Fractions is 9/90272.Finally, GCF of Fractions for 5364/104, 6219/6944 is 9/90272.