GCF of 7732/473, 7674/8627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7732/473, 7674/8627 i.e 2/4080571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7732/473, 7674/8627.
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 7732/473,7674/8627?
Given fractions are 7732/473,7674/8627
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 7732/473,7674/8627, numerators are 7732,7674
Denominators are 473,8627
The GCF of 7732,7674 is 2 .
LCM of 473,8627 is 4080571.
The greatest common factor of 7732/473,7674/8627 = [GCF of 7732,7674]/[LCM of 473,8627]= 2/4080571
Therefore, the GCF of 7732/473,7674/8627 is 2/4080571.
To find the highest common factor of 7732,7674, 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 7674 are 1, 2, 3, 6, 1279, 2558, 3837, 7674
The HCF of 7732,7674 is 2.
Lets's calculate GCF of 7732,7674
| 2 | 7732, 7674 |
| 3866, 3837 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7732,7674 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 7674
:1,2,3,6,1279,2558,3837,7674
Greatest Common Factor
We found the factors 7732,7674 . The biggest common factor number is the GCF number.
So the greatest common factor 7732,7674 is 2.
Lets's calculate LCM of 473,8627
Given numbers has no common factors except 1. So, there LCM is their product i.e 4080571
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4080571
Therefore, the GCF of Fractions 7732/473,7674/8627 is 2/4080571
Least Common Multiple of 473,8627 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 473,8627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,8627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,8627) x common factors =1 x 1 = 1
LCM(473,8627) = ( 473 × 8627 ) / 1
LCM(473,8627) = 4080571 / 1
LCM(473,8627) = 4080571
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FAQs on GCF of Fractions of 7732/473, 7674/8627
1. What is the HCF of 7732,7674?
The HCF of 7732,7674 is 2
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 7732/473, 7674/8627?
Answer: GCF of Numerators as per given numbers 7732/473, 7674/8627 is
GCF of Numerators i.e. for 7732,7674 is 2
LCM of denominators i.e. for 473,8627 is 4080571.
Thus, GCF of Fractions is 2/4080571.Finally, GCF of Fractions for 7732/473, 7674/8627 is 2/4080571.