GCF of 7082/760, 5792/6142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7082/760, 5792/6142 i.e 2/2333960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7082/760, 5792/6142.
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 7082/760,5792/6142?
Given fractions are 7082/760,5792/6142
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 7082/760,5792/6142, numerators are 7082,5792
Denominators are 760,6142
The GCF of 7082,5792 is 2 .
LCM of 760,6142 is 2333960.
The greatest common factor of 7082/760,5792/6142 = [GCF of 7082,5792]/[LCM of 760,6142]= 2/2333960
Therefore, the GCF of 7082/760,5792/6142 is 2/2333960.
To find the highest common factor of 7082,5792, we have to find the factors of both numbers and list the highest common factor.
The factors of 7082 are 1, 2, 3541, 7082
The factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792
The HCF of 7082,5792 is 2.
Lets's calculate GCF of 7082,5792
| 2 | 7082, 5792 |
| 3541, 2896 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7082,5792 By Matching Biggest Common Factor Method
Now, list down the factors of 7082
:1,2,3541,7082
Now, list down the factors of 5792
:1,2,4,8,16,32,181,362,724,1448,2896,5792
Greatest Common Factor
We found the factors 7082,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 7082,5792 is 2.
Lets's calculate LCM of 760,6142
| 2 | 760, 6142 |
| 380, 3071 |
∴ So the LCM of the given numbers is 2 x 380 x 3071 = 2333960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2333960
Therefore, the GCF of Fractions 7082/760,5792/6142 is 2/2333960
Least Common Multiple of 760,6142 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 760,6142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,6142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(760,6142) x common factors =2 x 1 = 2
LCM(760,6142) = ( 760 × 6142 ) / 2
LCM(760,6142) = 4667920 / 2
LCM(760,6142) = 2333960
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FAQs on GCF of Fractions of 7082/760, 5792/6142
1. What is the HCF of 7082,5792?
The HCF of 7082,5792 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 7082/760, 5792/6142?
Answer: GCF of Numerators as per given numbers 7082/760, 5792/6142 is
GCF of Numerators i.e. for 7082,5792 is 2
LCM of denominators i.e. for 760,6142 is 2333960.
Thus, GCF of Fractions is 2/2333960.Finally, GCF of Fractions for 7082/760, 5792/6142 is 2/2333960.