GCF of 7767/421, 8142/6797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7767/421, 8142/6797 i.e 3/2861537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7767/421, 8142/6797.
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 7767/421,8142/6797?
Given fractions are 7767/421,8142/6797
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 7767/421,8142/6797, numerators are 7767,8142
Denominators are 421,6797
The GCF of 7767,8142 is 3 .
LCM of 421,6797 is 2861537.
The greatest common factor of 7767/421,8142/6797 = [GCF of 7767,8142]/[LCM of 421,6797]= 3/2861537
Therefore, the GCF of 7767/421,8142/6797 is 3/2861537.
To find the highest common factor of 7767,8142, we have to find the factors of both numbers and list the highest common factor.
The factors of 7767 are 1, 3, 9, 863, 2589, 7767
The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
The HCF of 7767,8142 is 3.
Lets's calculate GCF of 7767,8142
| 3 | 7767, 8142 |
| 2589, 2714 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7767,8142 By Matching Biggest Common Factor Method
Now, list down the factors of 7767
:1,3,9,863,2589,7767
Now, list down the factors of 8142
:1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Greatest Common Factor
We found the factors 7767,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 7767,8142 is 3.
Lets's calculate LCM of 421,6797
Given numbers has no common factors except 1. So, there LCM is their product i.e 2861537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2861537
Therefore, the GCF of Fractions 7767/421,8142/6797 is 3/2861537
Least Common Multiple of 421,6797 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 421,6797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,6797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,6797) x common factors =1 x 1 = 1
LCM(421,6797) = ( 421 × 6797 ) / 1
LCM(421,6797) = 2861537 / 1
LCM(421,6797) = 2861537
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FAQs on GCF of Fractions of 7767/421, 8142/6797
1. What is the HCF of 7767,8142?
The HCF of 7767,8142 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 7767/421, 8142/6797?
Answer: GCF of Numerators as per given numbers 7767/421, 8142/6797 is
GCF of Numerators i.e. for 7767,8142 is 3
LCM of denominators i.e. for 421,6797 is 2861537.
Thus, GCF of Fractions is 3/2861537.Finally, GCF of Fractions for 7767/421, 8142/6797 is 3/2861537.