GCF of 5804/362, 1938/3242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5804/362, 1938/3242 i.e 2/586802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5804/362, 1938/3242.
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 5804/362,1938/3242?
Given fractions are 5804/362,1938/3242
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 5804/362,1938/3242, numerators are 5804,1938
Denominators are 362,3242
The GCF of 5804,1938 is 2 .
LCM of 362,3242 is 586802.
The greatest common factor of 5804/362,1938/3242 = [GCF of 5804,1938]/[LCM of 362,3242]= 2/586802
Therefore, the GCF of 5804/362,1938/3242 is 2/586802.
To find the highest common factor of 5804,1938, we have to find the factors of both numbers and list the highest common factor.
The factors of 5804 are 1, 2, 4, 1451, 2902, 5804
The factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938
The HCF of 5804,1938 is 2.
Lets's calculate GCF of 5804,1938
| 2 | 5804, 1938 |
| 2902, 969 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5804,1938 By Matching Biggest Common Factor Method
Now, list down the factors of 5804
:1,2,4,1451,2902,5804
Now, list down the factors of 1938
:1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938
Greatest Common Factor
We found the factors 5804,1938 . The biggest common factor number is the GCF number.
So the greatest common factor 5804,1938 is 2.
Lets's calculate LCM of 362,3242
| 2 | 362, 3242 |
| 181, 1621 |
∴ So the LCM of the given numbers is 2 x 181 x 1621 = 586802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/586802
Therefore, the GCF of Fractions 5804/362,1938/3242 is 2/586802
Least Common Multiple of 362,3242 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 362,3242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,3242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,3242) x common factors =2 x 1 = 2
LCM(362,3242) = ( 362 × 3242 ) / 2
LCM(362,3242) = 1173604 / 2
LCM(362,3242) = 586802
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FAQs on GCF of Fractions of 5804/362, 1938/3242
1. What is the HCF of 5804,1938?
The HCF of 5804,1938 is 2
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 5804/362, 1938/3242?
Answer: GCF of Numerators as per given numbers 5804/362, 1938/3242 is
GCF of Numerators i.e. for 5804,1938 is 2
LCM of denominators i.e. for 362,3242 is 586802.
Thus, GCF of Fractions is 2/586802.Finally, GCF of Fractions for 5804/362, 1938/3242 is 2/586802.