GCF of 4769/381, 5979/4532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4769/381, 5979/4532 i.e 1/1726692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4769/381, 5979/4532.
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 4769/381,5979/4532?
Given fractions are 4769/381,5979/4532
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 4769/381,5979/4532, numerators are 4769,5979
Denominators are 381,4532
The GCF of 4769,5979 is 1 .
LCM of 381,4532 is 1726692.
The greatest common factor of 4769/381,5979/4532 = [GCF of 4769,5979]/[LCM of 381,4532]= 1/1726692
Therefore, the GCF of 4769/381,5979/4532 is 1/1726692.
To find the highest common factor of 4769,5979, we have to find the factors of both numbers and list the highest common factor.
The factors of 4769 are 1, 19, 251, 4769
The factors of 5979 are 1, 3, 1993, 5979
The HCF of 4769,5979 is 1.
Lets's calculate GCF of 4769,5979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4769,5979 By Matching Biggest Common Factor Method
Now, list down the factors of 4769
:1,19,251,4769
Now, list down the factors of 5979
:1,3,1993,5979
Greatest Common Factor
We found the factors 4769,5979 . The biggest common factor number is the GCF number.
So the greatest common factor 4769,5979 is 1.
Lets's calculate LCM of 381,4532
Given numbers has no common factors except 1. So, there LCM is their product i.e 1726692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1726692
Therefore, the GCF of Fractions 4769/381,5979/4532 is 1/1726692
Least Common Multiple of 381,4532 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 381,4532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,4532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,4532) x common factors =1 x 1 = 1
LCM(381,4532) = ( 381 × 4532 ) / 1
LCM(381,4532) = 1726692 / 1
LCM(381,4532) = 1726692
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4769/381, 5979/4532
1. What is the HCF of 4769,5979?
The HCF of 4769,5979 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 4769/381, 5979/4532?
Answer: GCF of Numerators as per given numbers 4769/381, 5979/4532 is
GCF of Numerators i.e. for 4769,5979 is 1
LCM of denominators i.e. for 381,4532 is 1726692.
Thus, GCF of Fractions is 1/1726692.Finally, GCF of Fractions for 4769/381, 5979/4532 is 1/1726692.