GCF of 4989/254, 6410/3791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4989/254, 6410/3791 i.e 1/962914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4989/254, 6410/3791.
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 4989/254,6410/3791?
Given fractions are 4989/254,6410/3791
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 4989/254,6410/3791, numerators are 4989,6410
Denominators are 254,3791
The GCF of 4989,6410 is 1 .
LCM of 254,3791 is 962914.
The greatest common factor of 4989/254,6410/3791 = [GCF of 4989,6410]/[LCM of 254,3791]= 1/962914
Therefore, the GCF of 4989/254,6410/3791 is 1/962914.
To find the highest common factor of 4989,6410, we have to find the factors of both numbers and list the highest common factor.
The factors of 4989 are 1, 3, 1663, 4989
The factors of 6410 are 1, 2, 5, 10, 641, 1282, 3205, 6410
The HCF of 4989,6410 is 1.
Lets's calculate GCF of 4989,6410
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4989,6410 By Matching Biggest Common Factor Method
Now, list down the factors of 4989
:1,3,1663,4989
Now, list down the factors of 6410
:1,2,5,10,641,1282,3205,6410
Greatest Common Factor
We found the factors 4989,6410 . The biggest common factor number is the GCF number.
So the greatest common factor 4989,6410 is 1.
Lets's calculate LCM of 254,3791
Given numbers has no common factors except 1. So, there LCM is their product i.e 962914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/962914
Therefore, the GCF of Fractions 4989/254,6410/3791 is 1/962914
Least Common Multiple of 254,3791 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 254,3791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,3791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,3791) x common factors =1 x 1 = 1
LCM(254,3791) = ( 254 × 3791 ) / 1
LCM(254,3791) = 962914 / 1
LCM(254,3791) = 962914
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FAQs on GCF of Fractions of 4989/254, 6410/3791
1. What is the HCF of 4989,6410?
The HCF of 4989,6410 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 4989/254, 6410/3791?
Answer: GCF of Numerators as per given numbers 4989/254, 6410/3791 is
GCF of Numerators i.e. for 4989,6410 is 1
LCM of denominators i.e. for 254,3791 is 962914.
Thus, GCF of Fractions is 1/962914.Finally, GCF of Fractions for 4989/254, 6410/3791 is 1/962914.