GCF of 4742/862, 2082/9644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4742/862, 2082/9644 i.e 2/4156564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4742/862, 2082/9644.
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 4742/862,2082/9644?
Given fractions are 4742/862,2082/9644
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 4742/862,2082/9644, numerators are 4742,2082
Denominators are 862,9644
The GCF of 4742,2082 is 2 .
LCM of 862,9644 is 4156564.
The greatest common factor of 4742/862,2082/9644 = [GCF of 4742,2082]/[LCM of 862,9644]= 2/4156564
Therefore, the GCF of 4742/862,2082/9644 is 2/4156564.
To find the highest common factor of 4742,2082, we have to find the factors of both numbers and list the highest common factor.
The factors of 4742 are 1, 2, 2371, 4742
The factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082
The HCF of 4742,2082 is 2.
Lets's calculate GCF of 4742,2082
| 2 | 4742, 2082 |
| 2371, 1041 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4742,2082 By Matching Biggest Common Factor Method
Now, list down the factors of 4742
:1,2,2371,4742
Now, list down the factors of 2082
:1,2,3,6,347,694,1041,2082
Greatest Common Factor
We found the factors 4742,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 4742,2082 is 2.
Lets's calculate LCM of 862,9644
| 2 | 862, 9644 |
| 431, 4822 |
∴ So the LCM of the given numbers is 2 x 431 x 4822 = 4156564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4156564
Therefore, the GCF of Fractions 4742/862,2082/9644 is 2/4156564
Least Common Multiple of 862,9644 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 862,9644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,9644) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,9644) x common factors =2 x 1 = 2
LCM(862,9644) = ( 862 × 9644 ) / 2
LCM(862,9644) = 8313128 / 2
LCM(862,9644) = 4156564
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FAQs on GCF of Fractions of 4742/862, 2082/9644
1. What is the HCF of 4742,2082?
The HCF of 4742,2082 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 4742/862, 2082/9644?
Answer: GCF of Numerators as per given numbers 4742/862, 2082/9644 is
GCF of Numerators i.e. for 4742,2082 is 2
LCM of denominators i.e. for 862,9644 is 4156564.
Thus, GCF of Fractions is 2/4156564.Finally, GCF of Fractions for 4742/862, 2082/9644 is 2/4156564.