GCF of 7732/623, 7363/8798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7732/623, 7363/8798 i.e 1/5481154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7732/623, 7363/8798.
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 7732/623,7363/8798?
Given fractions are 7732/623,7363/8798
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 7732/623,7363/8798, numerators are 7732,7363
Denominators are 623,8798
The GCF of 7732,7363 is 1 .
LCM of 623,8798 is 5481154.
The greatest common factor of 7732/623,7363/8798 = [GCF of 7732,7363]/[LCM of 623,8798]= 1/5481154
Therefore, the GCF of 7732/623,7363/8798 is 1/5481154.
To find the highest common factor of 7732,7363, we have to find the factors of both numbers and list the highest common factor.
The factors of 7732 are 1, 2, 4, 1933, 3866, 7732
The factors of 7363 are 1, 37, 199, 7363
The HCF of 7732,7363 is 1.
Lets's calculate GCF of 7732,7363
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7732,7363 By Matching Biggest Common Factor Method
Now, list down the factors of 7732
:1,2,4,1933,3866,7732
Now, list down the factors of 7363
:1,37,199,7363
Greatest Common Factor
We found the factors 7732,7363 . The biggest common factor number is the GCF number.
So the greatest common factor 7732,7363 is 1.
Lets's calculate LCM of 623,8798
Given numbers has no common factors except 1. So, there LCM is their product i.e 5481154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5481154
Therefore, the GCF of Fractions 7732/623,7363/8798 is 1/5481154
Least Common Multiple of 623,8798 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 623,8798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,8798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,8798) x common factors =1 x 1 = 1
LCM(623,8798) = ( 623 × 8798 ) / 1
LCM(623,8798) = 5481154 / 1
LCM(623,8798) = 5481154
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7732/623, 7363/8798
1. What is the HCF of 7732,7363?
The HCF of 7732,7363 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 7732/623, 7363/8798?
Answer: GCF of Numerators as per given numbers 7732/623, 7363/8798 is
GCF of Numerators i.e. for 7732,7363 is 1
LCM of denominators i.e. for 623,8798 is 5481154.
Thus, GCF of Fractions is 1/5481154.Finally, GCF of Fractions for 7732/623, 7363/8798 is 1/5481154.