GCF of 8337/742, 7029/7160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8337/742, 7029/7160 i.e 3/2656360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8337/742, 7029/7160.
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 8337/742,7029/7160?
Given fractions are 8337/742,7029/7160
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 8337/742,7029/7160, numerators are 8337,7029
Denominators are 742,7160
The GCF of 8337,7029 is 3 .
LCM of 742,7160 is 2656360.
The greatest common factor of 8337/742,7029/7160 = [GCF of 8337,7029]/[LCM of 742,7160]= 3/2656360
Therefore, the GCF of 8337/742,7029/7160 is 3/2656360.
To find the highest common factor of 8337,7029, we have to find the factors of both numbers and list the highest common factor.
The factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337
The factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
The HCF of 8337,7029 is 3.
Lets's calculate GCF of 8337,7029
| 3 | 8337, 7029 |
| 2779, 2343 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8337,7029 By Matching Biggest Common Factor Method
Now, list down the factors of 8337
:1,3,7,21,397,1191,2779,8337
Now, list down the factors of 7029
:1,3,9,11,33,71,99,213,639,781,2343,7029
Greatest Common Factor
We found the factors 8337,7029 . The biggest common factor number is the GCF number.
So the greatest common factor 8337,7029 is 3.
Lets's calculate LCM of 742,7160
| 2 | 742, 7160 |
| 371, 3580 |
∴ So the LCM of the given numbers is 2 x 371 x 3580 = 2656360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2656360
Therefore, the GCF of Fractions 8337/742,7029/7160 is 3/2656360
Least Common Multiple of 742,7160 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 742,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,7160) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,7160) x common factors =2 x 1 = 2
LCM(742,7160) = ( 742 × 7160 ) / 2
LCM(742,7160) = 5312720 / 2
LCM(742,7160) = 2656360
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FAQs on GCF of Fractions of 8337/742, 7029/7160
1. What is the HCF of 8337,7029?
The HCF of 8337,7029 is 3
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 8337/742, 7029/7160?
Answer: GCF of Numerators as per given numbers 8337/742, 7029/7160 is
GCF of Numerators i.e. for 8337,7029 is 3
LCM of denominators i.e. for 742,7160 is 2656360.
Thus, GCF of Fractions is 3/2656360.Finally, GCF of Fractions for 8337/742, 7029/7160 is 3/2656360.