GCF of 3959/482, 5322/5766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3959/482, 5322/5766 i.e 1/1389606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3959/482, 5322/5766.
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 3959/482,5322/5766?
Given fractions are 3959/482,5322/5766
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 3959/482,5322/5766, numerators are 3959,5322
Denominators are 482,5766
The GCF of 3959,5322 is 1 .
LCM of 482,5766 is 1389606.
The greatest common factor of 3959/482,5322/5766 = [GCF of 3959,5322]/[LCM of 482,5766]= 1/1389606
Therefore, the GCF of 3959/482,5322/5766 is 1/1389606.
To find the highest common factor of 3959,5322, we have to find the factors of both numbers and list the highest common factor.
The factors of 3959 are 1, 37, 107, 3959
The factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322
The HCF of 3959,5322 is 1.
Lets's calculate GCF of 3959,5322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3959,5322 By Matching Biggest Common Factor Method
Now, list down the factors of 3959
:1,37,107,3959
Now, list down the factors of 5322
:1,2,3,6,887,1774,2661,5322
Greatest Common Factor
We found the factors 3959,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 3959,5322 is 1.
Lets's calculate LCM of 482,5766
| 2 | 482, 5766 |
| 241, 2883 |
∴ So the LCM of the given numbers is 2 x 241 x 2883 = 1389606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1389606
Therefore, the GCF of Fractions 3959/482,5322/5766 is 1/1389606
Least Common Multiple of 482,5766 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 482,5766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,5766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,5766) x common factors =2 x 1 = 2
LCM(482,5766) = ( 482 × 5766 ) / 2
LCM(482,5766) = 2779212 / 2
LCM(482,5766) = 1389606
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FAQs on GCF of Fractions of 3959/482, 5322/5766
1. What is the HCF of 3959,5322?
The HCF of 3959,5322 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 3959/482, 5322/5766?
Answer: GCF of Numerators as per given numbers 3959/482, 5322/5766 is
GCF of Numerators i.e. for 3959,5322 is 1
LCM of denominators i.e. for 482,5766 is 1389606.
Thus, GCF of Fractions is 1/1389606.Finally, GCF of Fractions for 3959/482, 5322/5766 is 1/1389606.