GCF of 720/428, 4607/873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/428, 4607/873 i.e 1/373644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/428, 4607/873.
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 720/428,4607/873?
Given fractions are 720/428,4607/873
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 720/428,4607/873, numerators are 720,4607
Denominators are 428,873
The GCF of 720,4607 is 1 .
LCM of 428,873 is 373644.
The greatest common factor of 720/428,4607/873 = [GCF of 720,4607]/[LCM of 428,873]= 1/373644
Therefore, the GCF of 720/428,4607/873 is 1/373644.
To find the highest common factor of 720,4607, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 4607 are 1, 17, 271, 4607
The HCF of 720,4607 is 1.
Lets's calculate GCF of 720,4607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 720,4607 By Matching Biggest Common Factor Method
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 4607
:1,17,271,4607
Greatest Common Factor
We found the factors 720,4607 . The biggest common factor number is the GCF number.
So the greatest common factor 720,4607 is 1.
Lets's calculate LCM of 428,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 373644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373644
Therefore, the GCF of Fractions 720/428,4607/873 is 1/373644
Least Common Multiple of 428,873 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 428,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,873) x common factors =1 x 1 = 1
LCM(428,873) = ( 428 × 873 ) / 1
LCM(428,873) = 373644 / 1
LCM(428,873) = 373644
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 720/428, 4607/873
1. What is the HCF of 720,4607?
The HCF of 720,4607 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 720/428, 4607/873?
Answer: GCF of Numerators as per given numbers 720/428, 4607/873 is
GCF of Numerators i.e. for 720,4607 is 1
LCM of denominators i.e. for 428,873 is 373644.
Thus, GCF of Fractions is 1/373644.Finally, GCF of Fractions for 720/428, 4607/873 is 1/373644.