GCF of 4766/586, 9457/5629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4766/586, 9457/5629 i.e 1/3298594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4766/586, 9457/5629.
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 4766/586,9457/5629?
Given fractions are 4766/586,9457/5629
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 4766/586,9457/5629, numerators are 4766,9457
Denominators are 586,5629
The GCF of 4766,9457 is 1 .
LCM of 586,5629 is 3298594.
The greatest common factor of 4766/586,9457/5629 = [GCF of 4766,9457]/[LCM of 586,5629]= 1/3298594
Therefore, the GCF of 4766/586,9457/5629 is 1/3298594.
To find the highest common factor of 4766,9457, we have to find the factors of both numbers and list the highest common factor.
The factors of 4766 are 1, 2, 2383, 4766
The factors of 9457 are 1, 7, 49, 193, 1351, 9457
The HCF of 4766,9457 is 1.
Lets's calculate GCF of 4766,9457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4766,9457 By Matching Biggest Common Factor Method
Now, list down the factors of 4766
:1,2,2383,4766
Now, list down the factors of 9457
:1,7,49,193,1351,9457
Greatest Common Factor
We found the factors 4766,9457 . The biggest common factor number is the GCF number.
So the greatest common factor 4766,9457 is 1.
Lets's calculate LCM of 586,5629
Given numbers has no common factors except 1. So, there LCM is their product i.e 3298594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3298594
Therefore, the GCF of Fractions 4766/586,9457/5629 is 1/3298594
Least Common Multiple of 586,5629 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 586,5629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,5629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,5629) x common factors =1 x 1 = 1
LCM(586,5629) = ( 586 × 5629 ) / 1
LCM(586,5629) = 3298594 / 1
LCM(586,5629) = 3298594
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FAQs on GCF of Fractions of 4766/586, 9457/5629
1. What is the HCF of 4766,9457?
The HCF of 4766,9457 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 4766/586, 9457/5629?
Answer: GCF of Numerators as per given numbers 4766/586, 9457/5629 is
GCF of Numerators i.e. for 4766,9457 is 1
LCM of denominators i.e. for 586,5629 is 3298594.
Thus, GCF of Fractions is 1/3298594.Finally, GCF of Fractions for 4766/586, 9457/5629 is 1/3298594.