GCF of 6726/857, 8122/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6726/857, 8122/105 i.e 2/89985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6726/857, 8122/105.
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 6726/857,8122/105?
Given fractions are 6726/857,8122/105
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 6726/857,8122/105, numerators are 6726,8122
Denominators are 857,105
The GCF of 6726,8122 is 2 .
LCM of 857,105 is 89985.
The greatest common factor of 6726/857,8122/105 = [GCF of 6726,8122]/[LCM of 857,105]= 2/89985
Therefore, the GCF of 6726/857,8122/105 is 2/89985.
To find the highest common factor of 6726,8122, we have to find the factors of both numbers and list the highest common factor.
The factors of 6726 are 1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726
The factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122
The HCF of 6726,8122 is 2.
Lets's calculate GCF of 6726,8122
| 2 | 6726, 8122 |
| 3363, 4061 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6726,8122 By Matching Biggest Common Factor Method
Now, list down the factors of 6726
:1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726
Now, list down the factors of 8122
:1,2,31,62,131,262,4061,8122
Greatest Common Factor
We found the factors 6726,8122 . The biggest common factor number is the GCF number.
So the greatest common factor 6726,8122 is 2.
Lets's calculate LCM of 857,105
Given numbers has no common factors except 1. So, there LCM is their product i.e 89985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89985
Therefore, the GCF of Fractions 6726/857,8122/105 is 2/89985
Least Common Multiple of 857,105 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 857,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,105) x common factors =1 x 1 = 1
LCM(857,105) = ( 857 × 105 ) / 1
LCM(857,105) = 89985 / 1
LCM(857,105) = 89985
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FAQs on GCF of Fractions of 6726/857, 8122/105
1. What is the HCF of 6726,8122?
The HCF of 6726,8122 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 6726/857, 8122/105?
Answer: GCF of Numerators as per given numbers 6726/857, 8122/105 is
GCF of Numerators i.e. for 6726,8122 is 2
LCM of denominators i.e. for 857,105 is 89985.
Thus, GCF of Fractions is 2/89985.Finally, GCF of Fractions for 6726/857, 8122/105 is 2/89985.