GCF of 4283/723, 7350/8471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4283/723, 7350/8471 i.e 1/6124533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4283/723, 7350/8471.
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 4283/723,7350/8471?
Given fractions are 4283/723,7350/8471
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 4283/723,7350/8471, numerators are 4283,7350
Denominators are 723,8471
The GCF of 4283,7350 is 1 .
LCM of 723,8471 is 6124533.
The greatest common factor of 4283/723,7350/8471 = [GCF of 4283,7350]/[LCM of 723,8471]= 1/6124533
Therefore, the GCF of 4283/723,7350/8471 is 1/6124533.
To find the highest common factor of 4283,7350, we have to find the factors of both numbers and list the highest common factor.
The factors of 4283 are 1, 4283
The factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350
The HCF of 4283,7350 is 1.
Lets's calculate GCF of 4283,7350
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4283,7350 By Matching Biggest Common Factor Method
Now, list down the factors of 4283
:1,4283
Now, list down the factors of 7350
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350
Greatest Common Factor
We found the factors 4283,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 4283,7350 is 1.
Lets's calculate LCM of 723,8471
Given numbers has no common factors except 1. So, there LCM is their product i.e 6124533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6124533
Therefore, the GCF of Fractions 4283/723,7350/8471 is 1/6124533
Least Common Multiple of 723,8471 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 723,8471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,8471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,8471) x common factors =1 x 1 = 1
LCM(723,8471) = ( 723 × 8471 ) / 1
LCM(723,8471) = 6124533 / 1
LCM(723,8471) = 6124533
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4283/723, 7350/8471
1. What is the HCF of 4283,7350?
The HCF of 4283,7350 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 4283/723, 7350/8471?
Answer: GCF of Numerators as per given numbers 4283/723, 7350/8471 is
GCF of Numerators i.e. for 4283,7350 is 1
LCM of denominators i.e. for 723,8471 is 6124533.
Thus, GCF of Fractions is 1/6124533.Finally, GCF of Fractions for 4283/723, 7350/8471 is 1/6124533.