GCF of 7932/737, 7736/9470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7932/737, 7736/9470 i.e 4/6979390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7932/737, 7736/9470.
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 7932/737,7736/9470?
Given fractions are 7932/737,7736/9470
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 7932/737,7736/9470, numerators are 7932,7736
Denominators are 737,9470
The GCF of 7932,7736 is 4 .
LCM of 737,9470 is 6979390.
The greatest common factor of 7932/737,7736/9470 = [GCF of 7932,7736]/[LCM of 737,9470]= 4/6979390
Therefore, the GCF of 7932/737,7736/9470 is 4/6979390.
To find the highest common factor of 7932,7736, we have to find the factors of both numbers and list the highest common factor.
The factors of 7932 are 1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932
The factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736
The HCF of 7932,7736 is 4.
Lets's calculate GCF of 7932,7736
| 2 | 7932, 7736 |
| 2 | 3966, 3868 |
| 1983, 1934 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7932,7736 By Matching Biggest Common Factor Method
Now, list down the factors of 7932
:1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Now, list down the factors of 7736
:1,2,4,8,967,1934,3868,7736
Greatest Common Factor
We found the factors 7932,7736 . The biggest common factor number is the GCF number.
So the greatest common factor 7932,7736 is 4.
Lets's calculate LCM of 737,9470
Given numbers has no common factors except 1. So, there LCM is their product i.e 6979390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6979390
Therefore, the GCF of Fractions 7932/737,7736/9470 is 4/6979390
Least Common Multiple of 737,9470 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 737,9470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,9470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,9470) x common factors =1 x 1 = 1
LCM(737,9470) = ( 737 × 9470 ) / 1
LCM(737,9470) = 6979390 / 1
LCM(737,9470) = 6979390
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7932/737, 7736/9470
1. What is the HCF of 7932,7736?
The HCF of 7932,7736 is 4
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 7932/737, 7736/9470?
Answer: GCF of Numerators as per given numbers 7932/737, 7736/9470 is
GCF of Numerators i.e. for 7932,7736 is 4
LCM of denominators i.e. for 737,9470 is 6979390.
Thus, GCF of Fractions is 4/6979390.Finally, GCF of Fractions for 7932/737, 7736/9470 is 4/6979390.