GCF of 4491/183, 6869/4572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4491/183, 6869/4572 i.e 1/278892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4491/183, 6869/4572.
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 4491/183,6869/4572?
Given fractions are 4491/183,6869/4572
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 4491/183,6869/4572, numerators are 4491,6869
Denominators are 183,4572
The GCF of 4491,6869 is 1 .
LCM of 183,4572 is 278892.
The greatest common factor of 4491/183,6869/4572 = [GCF of 4491,6869]/[LCM of 183,4572]= 1/278892
Therefore, the GCF of 4491/183,6869/4572 is 1/278892.
To find the highest common factor of 4491,6869, we have to find the factors of both numbers and list the highest common factor.
The factors of 4491 are 1, 3, 9, 499, 1497, 4491
The factors of 6869 are 1, 6869
The HCF of 4491,6869 is 1.
Lets's calculate GCF of 4491,6869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4491,6869 By Matching Biggest Common Factor Method
Now, list down the factors of 4491
:1,3,9,499,1497,4491
Now, list down the factors of 6869
:1,6869
Greatest Common Factor
We found the factors 4491,6869 . The biggest common factor number is the GCF number.
So the greatest common factor 4491,6869 is 1.
Lets's calculate LCM of 183,4572
| 3 | 183, 4572 |
| 61, 1524 |
∴ So the LCM of the given numbers is 3 x 61 x 1524 = 278892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278892
Therefore, the GCF of Fractions 4491/183,6869/4572 is 1/278892
Least Common Multiple of 183,4572 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 183,4572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,4572) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,4572) x common factors =3 x 1 = 3
LCM(183,4572) = ( 183 × 4572 ) / 3
LCM(183,4572) = 836676 / 3
LCM(183,4572) = 278892
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FAQs on GCF of Fractions of 4491/183, 6869/4572
1. What is the HCF of 4491,6869?
The HCF of 4491,6869 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 4491/183, 6869/4572?
Answer: GCF of Numerators as per given numbers 4491/183, 6869/4572 is
GCF of Numerators i.e. for 4491,6869 is 1
LCM of denominators i.e. for 183,4572 is 278892.
Thus, GCF of Fractions is 1/278892.Finally, GCF of Fractions for 4491/183, 6869/4572 is 1/278892.