GCF of 9857/546, 5668/5387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9857/546, 5668/5387 i.e 1/2941302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9857/546, 5668/5387.
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 9857/546,5668/5387?
Given fractions are 9857/546,5668/5387
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 9857/546,5668/5387, numerators are 9857,5668
Denominators are 546,5387
The GCF of 9857,5668 is 1 .
LCM of 546,5387 is 2941302.
The greatest common factor of 9857/546,5668/5387 = [GCF of 9857,5668]/[LCM of 546,5387]= 1/2941302
Therefore, the GCF of 9857/546,5668/5387 is 1/2941302.
To find the highest common factor of 9857,5668, we have to find the factors of both numbers and list the highest common factor.
The factors of 9857 are 1, 9857
The factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668
The HCF of 9857,5668 is 1.
Lets's calculate GCF of 9857,5668
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9857,5668 By Matching Biggest Common Factor Method
Now, list down the factors of 9857
:1,9857
Now, list down the factors of 5668
:1,2,4,13,26,52,109,218,436,1417,2834,5668
Greatest Common Factor
We found the factors 9857,5668 . The biggest common factor number is the GCF number.
So the greatest common factor 9857,5668 is 1.
Lets's calculate LCM of 546,5387
Given numbers has no common factors except 1. So, there LCM is their product i.e 2941302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2941302
Therefore, the GCF of Fractions 9857/546,5668/5387 is 1/2941302
Least Common Multiple of 546,5387 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 546,5387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,5387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(546,5387) x common factors =1 x 1 = 1
LCM(546,5387) = ( 546 × 5387 ) / 1
LCM(546,5387) = 2941302 / 1
LCM(546,5387) = 2941302
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FAQs on GCF of Fractions of 9857/546, 5668/5387
1. What is the HCF of 9857,5668?
The HCF of 9857,5668 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 9857/546, 5668/5387?
Answer: GCF of Numerators as per given numbers 9857/546, 5668/5387 is
GCF of Numerators i.e. for 9857,5668 is 1
LCM of denominators i.e. for 546,5387 is 2941302.
Thus, GCF of Fractions is 1/2941302.Finally, GCF of Fractions for 9857/546, 5668/5387 is 1/2941302.