GCF of 7061/736, 8002/8986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7061/736, 8002/8986 i.e 1/3306848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7061/736, 8002/8986.
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 7061/736,8002/8986?
Given fractions are 7061/736,8002/8986
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 7061/736,8002/8986, numerators are 7061,8002
Denominators are 736,8986
The GCF of 7061,8002 is 1 .
LCM of 736,8986 is 3306848.
The greatest common factor of 7061/736,8002/8986 = [GCF of 7061,8002]/[LCM of 736,8986]= 1/3306848
Therefore, the GCF of 7061/736,8002/8986 is 1/3306848.
To find the highest common factor of 7061,8002, we have to find the factors of both numbers and list the highest common factor.
The factors of 7061 are 1, 23, 307, 7061
The factors of 8002 are 1, 2, 4001, 8002
The HCF of 7061,8002 is 1.
Lets's calculate GCF of 7061,8002
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7061,8002 By Matching Biggest Common Factor Method
Now, list down the factors of 7061
:1,23,307,7061
Now, list down the factors of 8002
:1,2,4001,8002
Greatest Common Factor
We found the factors 7061,8002 . The biggest common factor number is the GCF number.
So the greatest common factor 7061,8002 is 1.
Lets's calculate LCM of 736,8986
| 2 | 736, 8986 |
| 368, 4493 |
∴ So the LCM of the given numbers is 2 x 368 x 4493 = 3306848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3306848
Therefore, the GCF of Fractions 7061/736,8002/8986 is 1/3306848
Least Common Multiple of 736,8986 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 736,8986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,8986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,8986) x common factors =2 x 1 = 2
LCM(736,8986) = ( 736 × 8986 ) / 2
LCM(736,8986) = 6613696 / 2
LCM(736,8986) = 3306848
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7061/736, 8002/8986
1. What is the HCF of 7061,8002?
The HCF of 7061,8002 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 7061/736, 8002/8986?
Answer: GCF of Numerators as per given numbers 7061/736, 8002/8986 is
GCF of Numerators i.e. for 7061,8002 is 1
LCM of denominators i.e. for 736,8986 is 3306848.
Thus, GCF of Fractions is 1/3306848.Finally, GCF of Fractions for 7061/736, 8002/8986 is 1/3306848.