GCF of 6424/486, 2285/1936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6424/486, 2285/1936 i.e 1/470448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6424/486, 2285/1936.
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 6424/486,2285/1936?
Given fractions are 6424/486,2285/1936
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 6424/486,2285/1936, numerators are 6424,2285
Denominators are 486,1936
The GCF of 6424,2285 is 1 .
LCM of 486,1936 is 470448.
The greatest common factor of 6424/486,2285/1936 = [GCF of 6424,2285]/[LCM of 486,1936]= 1/470448
Therefore, the GCF of 6424/486,2285/1936 is 1/470448.
To find the highest common factor of 6424,2285, we have to find the factors of both numbers and list the highest common factor.
The factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424
The factors of 2285 are 1, 5, 457, 2285
The HCF of 6424,2285 is 1.
Lets's calculate GCF of 6424,2285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6424,2285 By Matching Biggest Common Factor Method
Now, list down the factors of 6424
:1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Now, list down the factors of 2285
:1,5,457,2285
Greatest Common Factor
We found the factors 6424,2285 . The biggest common factor number is the GCF number.
So the greatest common factor 6424,2285 is 1.
Lets's calculate LCM of 486,1936
| 2 | 486, 1936 |
| 243, 968 |
∴ So the LCM of the given numbers is 2 x 243 x 968 = 470448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470448
Therefore, the GCF of Fractions 6424/486,2285/1936 is 1/470448
Least Common Multiple of 486,1936 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 486,1936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,1936) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(486,1936) x common factors =2 x 1 = 2
LCM(486,1936) = ( 486 × 1936 ) / 2
LCM(486,1936) = 940896 / 2
LCM(486,1936) = 470448
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FAQs on GCF of Fractions of 6424/486, 2285/1936
1. What is the HCF of 6424,2285?
The HCF of 6424,2285 is 1
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 6424/486, 2285/1936?
Answer: GCF of Numerators as per given numbers 6424/486, 2285/1936 is
GCF of Numerators i.e. for 6424,2285 is 1
LCM of denominators i.e. for 486,1936 is 470448.
Thus, GCF of Fractions is 1/470448.Finally, GCF of Fractions for 6424/486, 2285/1936 is 1/470448.