GCF of 4177/750, 4626/7267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4177/750, 4626/7267 i.e 1/5450250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4177/750, 4626/7267.
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 4177/750,4626/7267?
Given fractions are 4177/750,4626/7267
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 4177/750,4626/7267, numerators are 4177,4626
Denominators are 750,7267
The GCF of 4177,4626 is 1 .
LCM of 750,7267 is 5450250.
The greatest common factor of 4177/750,4626/7267 = [GCF of 4177,4626]/[LCM of 750,7267]= 1/5450250
Therefore, the GCF of 4177/750,4626/7267 is 1/5450250.
To find the highest common factor of 4177,4626, we have to find the factors of both numbers and list the highest common factor.
The factors of 4177 are 1, 4177
The factors of 4626 are 1, 2, 3, 6, 9, 18, 257, 514, 771, 1542, 2313, 4626
The HCF of 4177,4626 is 1.
Lets's calculate GCF of 4177,4626
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4177,4626 By Matching Biggest Common Factor Method
Now, list down the factors of 4177
:1,4177
Now, list down the factors of 4626
:1,2,3,6,9,18,257,514,771,1542,2313,4626
Greatest Common Factor
We found the factors 4177,4626 . The biggest common factor number is the GCF number.
So the greatest common factor 4177,4626 is 1.
Lets's calculate LCM of 750,7267
Given numbers has no common factors except 1. So, there LCM is their product i.e 5450250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5450250
Therefore, the GCF of Fractions 4177/750,4626/7267 is 1/5450250
Least Common Multiple of 750,7267 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 750,7267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,7267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(750,7267) x common factors =1 x 1 = 1
LCM(750,7267) = ( 750 × 7267 ) / 1
LCM(750,7267) = 5450250 / 1
LCM(750,7267) = 5450250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4177/750, 4626/7267
1. What is the HCF of 4177,4626?
The HCF of 4177,4626 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 4177/750, 4626/7267?
Answer: GCF of Numerators as per given numbers 4177/750, 4626/7267 is
GCF of Numerators i.e. for 4177,4626 is 1
LCM of denominators i.e. for 750,7267 is 5450250.
Thus, GCF of Fractions is 1/5450250.Finally, GCF of Fractions for 4177/750, 4626/7267 is 1/5450250.