GCF of 6817/862, 7706/632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6817/862, 7706/632 i.e 1/272392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6817/862, 7706/632.
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 6817/862,7706/632?
Given fractions are 6817/862,7706/632
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 6817/862,7706/632, numerators are 6817,7706
Denominators are 862,632
The GCF of 6817,7706 is 1 .
LCM of 862,632 is 272392.
The greatest common factor of 6817/862,7706/632 = [GCF of 6817,7706]/[LCM of 862,632]= 1/272392
Therefore, the GCF of 6817/862,7706/632 is 1/272392.
To find the highest common factor of 6817,7706, we have to find the factors of both numbers and list the highest common factor.
The factors of 6817 are 1, 17, 401, 6817
The factors of 7706 are 1, 2, 3853, 7706
The HCF of 6817,7706 is 1.
Lets's calculate GCF of 6817,7706
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6817,7706 By Matching Biggest Common Factor Method
Now, list down the factors of 6817
:1,17,401,6817
Now, list down the factors of 7706
:1,2,3853,7706
Greatest Common Factor
We found the factors 6817,7706 . The biggest common factor number is the GCF number.
So the greatest common factor 6817,7706 is 1.
Lets's calculate LCM of 862,632
| 2 | 862, 632 |
| 431, 316 |
∴ So the LCM of the given numbers is 2 x 431 x 316 = 272392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272392
Therefore, the GCF of Fractions 6817/862,7706/632 is 1/272392
Least Common Multiple of 862,632 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 862,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,632) x common factors =2 x 1 = 2
LCM(862,632) = ( 862 × 632 ) / 2
LCM(862,632) = 544784 / 2
LCM(862,632) = 272392
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FAQs on GCF of Fractions of 6817/862, 7706/632
1. What is the HCF of 6817,7706?
The HCF of 6817,7706 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 6817/862, 7706/632?
Answer: GCF of Numerators as per given numbers 6817/862, 7706/632 is
GCF of Numerators i.e. for 6817,7706 is 1
LCM of denominators i.e. for 862,632 is 272392.
Thus, GCF of Fractions is 1/272392.Finally, GCF of Fractions for 6817/862, 7706/632 is 1/272392.