GCF of 479/159, 7469/941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 479/159, 7469/941 i.e 1/149619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/159, 7469/941.
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 479/159,7469/941?
Given fractions are 479/159,7469/941
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 479/159,7469/941, numerators are 479,7469
Denominators are 159,941
The GCF of 479,7469 is 1 .
LCM of 159,941 is 149619.
The greatest common factor of 479/159,7469/941 = [GCF of 479,7469]/[LCM of 159,941]= 1/149619
Therefore, the GCF of 479/159,7469/941 is 1/149619.
To find the highest common factor of 479,7469, we have to find the factors of both numbers and list the highest common factor.
The factors of 479 are 1, 479
The factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469
The HCF of 479,7469 is 1.
Lets's calculate GCF of 479,7469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 479,7469 By Matching Biggest Common Factor Method
Now, list down the factors of 479
:1,479
Now, list down the factors of 7469
:1,7,11,77,97,679,1067,7469
Greatest Common Factor
We found the factors 479,7469 . The biggest common factor number is the GCF number.
So the greatest common factor 479,7469 is 1.
Lets's calculate LCM of 159,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 149619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149619
Therefore, the GCF of Fractions 479/159,7469/941 is 1/149619
Least Common Multiple of 159,941 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 159,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,941) x common factors =1 x 1 = 1
LCM(159,941) = ( 159 × 941 ) / 1
LCM(159,941) = 149619 / 1
LCM(159,941) = 149619
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 479/159, 7469/941
1. What is the HCF of 479,7469?
The HCF of 479,7469 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 479/159, 7469/941?
Answer: GCF of Numerators as per given numbers 479/159, 7469/941 is
GCF of Numerators i.e. for 479,7469 is 1
LCM of denominators i.e. for 159,941 is 149619.
Thus, GCF of Fractions is 1/149619.Finally, GCF of Fractions for 479/159, 7469/941 is 1/149619.