GCF of 7004/860, 8986/7695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7004/860, 8986/7695 i.e 2/1323540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7004/860, 8986/7695.
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 7004/860,8986/7695?
Given fractions are 7004/860,8986/7695
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 7004/860,8986/7695, numerators are 7004,8986
Denominators are 860,7695
The GCF of 7004,8986 is 2 .
LCM of 860,7695 is 1323540.
The greatest common factor of 7004/860,8986/7695 = [GCF of 7004,8986]/[LCM of 860,7695]= 2/1323540
Therefore, the GCF of 7004/860,8986/7695 is 2/1323540.
To find the highest common factor of 7004,8986, we have to find the factors of both numbers and list the highest common factor.
The factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004
The factors of 8986 are 1, 2, 4493, 8986
The HCF of 7004,8986 is 2.
Lets's calculate GCF of 7004,8986
| 2 | 7004, 8986 |
| 3502, 4493 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7004,8986 By Matching Biggest Common Factor Method
Now, list down the factors of 7004
:1,2,4,17,34,68,103,206,412,1751,3502,7004
Now, list down the factors of 8986
:1,2,4493,8986
Greatest Common Factor
We found the factors 7004,8986 . The biggest common factor number is the GCF number.
So the greatest common factor 7004,8986 is 2.
Lets's calculate LCM of 860,7695
| 5 | 860, 7695 |
| 172, 1539 |
∴ So the LCM of the given numbers is 5 x 172 x 1539 = 1323540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1323540
Therefore, the GCF of Fractions 7004/860,8986/7695 is 2/1323540
Least Common Multiple of 860,7695 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 860,7695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,7695) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(860,7695) x common factors =5 x 1 = 5
LCM(860,7695) = ( 860 × 7695 ) / 5
LCM(860,7695) = 6617700 / 5
LCM(860,7695) = 1323540
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7004/860, 8986/7695
1. What is the HCF of 7004,8986?
The HCF of 7004,8986 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 7004/860, 8986/7695?
Answer: GCF of Numerators as per given numbers 7004/860, 8986/7695 is
GCF of Numerators i.e. for 7004,8986 is 2
LCM of denominators i.e. for 860,7695 is 1323540.
Thus, GCF of Fractions is 2/1323540.Finally, GCF of Fractions for 7004/860, 8986/7695 is 2/1323540.