GCF of 9046/268, 4662/1857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9046/268, 4662/1857 i.e 2/497676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9046/268, 4662/1857.
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 9046/268,4662/1857?
Given fractions are 9046/268,4662/1857
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 9046/268,4662/1857, numerators are 9046,4662
Denominators are 268,1857
The GCF of 9046,4662 is 2 .
LCM of 268,1857 is 497676.
The greatest common factor of 9046/268,4662/1857 = [GCF of 9046,4662]/[LCM of 268,1857]= 2/497676
Therefore, the GCF of 9046/268,4662/1857 is 2/497676.
To find the highest common factor of 9046,4662, we have to find the factors of both numbers and list the highest common factor.
The factors of 9046 are 1, 2, 4523, 9046
The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The HCF of 9046,4662 is 2.
Lets's calculate GCF of 9046,4662
| 2 | 9046, 4662 |
| 4523, 2331 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9046,4662 By Matching Biggest Common Factor Method
Now, list down the factors of 9046
:1,2,4523,9046
Now, list down the factors of 4662
:1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 9046,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 9046,4662 is 2.
Lets's calculate LCM of 268,1857
Given numbers has no common factors except 1. So, there LCM is their product i.e 497676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/497676
Therefore, the GCF of Fractions 9046/268,4662/1857 is 2/497676
Least Common Multiple of 268,1857 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 268,1857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,1857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,1857) x common factors =1 x 1 = 1
LCM(268,1857) = ( 268 × 1857 ) / 1
LCM(268,1857) = 497676 / 1
LCM(268,1857) = 497676
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FAQs on GCF of Fractions of 9046/268, 4662/1857
1. What is the HCF of 9046,4662?
The HCF of 9046,4662 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 9046/268, 4662/1857?
Answer: GCF of Numerators as per given numbers 9046/268, 4662/1857 is
GCF of Numerators i.e. for 9046,4662 is 2
LCM of denominators i.e. for 268,1857 is 497676.
Thus, GCF of Fractions is 2/497676.Finally, GCF of Fractions for 9046/268, 4662/1857 is 2/497676.