GCF of 4979/559, 2458/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4979/559, 2458/867 i.e 1/484653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4979/559, 2458/867.
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 4979/559,2458/867?
Given fractions are 4979/559,2458/867
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 4979/559,2458/867, numerators are 4979,2458
Denominators are 559,867
The GCF of 4979,2458 is 1 .
LCM of 559,867 is 484653.
The greatest common factor of 4979/559,2458/867 = [GCF of 4979,2458]/[LCM of 559,867]= 1/484653
Therefore, the GCF of 4979/559,2458/867 is 1/484653.
To find the highest common factor of 4979,2458, we have to find the factors of both numbers and list the highest common factor.
The factors of 4979 are 1, 13, 383, 4979
The factors of 2458 are 1, 2, 1229, 2458
The HCF of 4979,2458 is 1.
Lets's calculate GCF of 4979,2458
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4979,2458 By Matching Biggest Common Factor Method
Now, list down the factors of 4979
:1,13,383,4979
Now, list down the factors of 2458
:1,2,1229,2458
Greatest Common Factor
We found the factors 4979,2458 . The biggest common factor number is the GCF number.
So the greatest common factor 4979,2458 is 1.
Lets's calculate LCM of 559,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 484653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/484653
Therefore, the GCF of Fractions 4979/559,2458/867 is 1/484653
Least Common Multiple of 559,867 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 559,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,867) x common factors =1 x 1 = 1
LCM(559,867) = ( 559 × 867 ) / 1
LCM(559,867) = 484653 / 1
LCM(559,867) = 484653
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FAQs on GCF of Fractions of 4979/559, 2458/867
1. What is the HCF of 4979,2458?
The HCF of 4979,2458 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 4979/559, 2458/867?
Answer: GCF of Numerators as per given numbers 4979/559, 2458/867 is
GCF of Numerators i.e. for 4979,2458 is 1
LCM of denominators i.e. for 559,867 is 484653.
Thus, GCF of Fractions is 1/484653.Finally, GCF of Fractions for 4979/559, 2458/867 is 1/484653.