GCF of 8777/770, 8466/6270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8777/770, 8466/6270 i.e 1/43890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8777/770, 8466/6270.
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 8777/770,8466/6270?
Given fractions are 8777/770,8466/6270
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 8777/770,8466/6270, numerators are 8777,8466
Denominators are 770,6270
The GCF of 8777,8466 is 1 .
LCM of 770,6270 is 43890.
The greatest common factor of 8777/770,8466/6270 = [GCF of 8777,8466]/[LCM of 770,6270]= 1/43890
Therefore, the GCF of 8777/770,8466/6270 is 1/43890.
To find the highest common factor of 8777,8466, we have to find the factors of both numbers and list the highest common factor.
The factors of 8777 are 1, 67, 131, 8777
The factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466
The HCF of 8777,8466 is 1.
Lets's calculate GCF of 8777,8466
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8777,8466 By Matching Biggest Common Factor Method
Now, list down the factors of 8777
:1,67,131,8777
Now, list down the factors of 8466
:1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466
Greatest Common Factor
We found the factors 8777,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 8777,8466 is 1.
Lets's calculate LCM of 770,6270
| 2 | 770, 6270 |
| 5 | 385, 3135 |
| 11 | 77, 627 |
| 7, 57 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 7 x 57 = 43890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43890
Therefore, the GCF of Fractions 8777/770,8466/6270 is 1/43890
Least Common Multiple of 770,6270 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 770,6270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,6270) = 110
common factors(in case of two or more numbers have common factors) = 1
GCF(770,6270) x common factors =110 x 1 = 110
LCM(770,6270) = ( 770 × 6270 ) / 110
LCM(770,6270) = 4827900 / 110
LCM(770,6270) = 43890
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FAQs on GCF of Fractions of 8777/770, 8466/6270
1. What is the HCF of 8777,8466?
The HCF of 8777,8466 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 8777/770, 8466/6270?
Answer: GCF of Numerators as per given numbers 8777/770, 8466/6270 is
GCF of Numerators i.e. for 8777,8466 is 1
LCM of denominators i.e. for 770,6270 is 43890.
Thus, GCF of Fractions is 1/43890.Finally, GCF of Fractions for 8777/770, 8466/6270 is 1/43890.