GCF of 4889/282, 4308/4193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4889/282, 4308/4193 i.e 1/1182426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4889/282, 4308/4193.
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 4889/282,4308/4193?
Given fractions are 4889/282,4308/4193
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 4889/282,4308/4193, numerators are 4889,4308
Denominators are 282,4193
The GCF of 4889,4308 is 1 .
LCM of 282,4193 is 1182426.
The greatest common factor of 4889/282,4308/4193 = [GCF of 4889,4308]/[LCM of 282,4193]= 1/1182426
Therefore, the GCF of 4889/282,4308/4193 is 1/1182426.
To find the highest common factor of 4889,4308, we have to find the factors of both numbers and list the highest common factor.
The factors of 4889 are 1, 4889
The factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308
The HCF of 4889,4308 is 1.
Lets's calculate GCF of 4889,4308
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4889,4308 By Matching Biggest Common Factor Method
Now, list down the factors of 4889
:1,4889
Now, list down the factors of 4308
:1,2,3,4,6,12,359,718,1077,1436,2154,4308
Greatest Common Factor
We found the factors 4889,4308 . The biggest common factor number is the GCF number.
So the greatest common factor 4889,4308 is 1.
Lets's calculate LCM of 282,4193
Given numbers has no common factors except 1. So, there LCM is their product i.e 1182426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1182426
Therefore, the GCF of Fractions 4889/282,4308/4193 is 1/1182426
Least Common Multiple of 282,4193 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 282,4193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,4193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,4193) x common factors =1 x 1 = 1
LCM(282,4193) = ( 282 × 4193 ) / 1
LCM(282,4193) = 1182426 / 1
LCM(282,4193) = 1182426
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FAQs on GCF of Fractions of 4889/282, 4308/4193
1. What is the HCF of 4889,4308?
The HCF of 4889,4308 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 4889/282, 4308/4193?
Answer: GCF of Numerators as per given numbers 4889/282, 4308/4193 is
GCF of Numerators i.e. for 4889,4308 is 1
LCM of denominators i.e. for 282,4193 is 1182426.
Thus, GCF of Fractions is 1/1182426.Finally, GCF of Fractions for 4889/282, 4308/4193 is 1/1182426.