GCF of 6743/82, 9251/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6743/82, 9251/122 i.e 11/5002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6743/82, 9251/122.
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 6743/82,9251/122?
Given fractions are 6743/82,9251/122
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 6743/82,9251/122, numerators are 6743,9251
Denominators are 82,122
The GCF of 6743,9251 is 11 .
LCM of 82,122 is 5002.
The greatest common factor of 6743/82,9251/122 = [GCF of 6743,9251]/[LCM of 82,122]= 11/5002
Therefore, the GCF of 6743/82,9251/122 is 11/5002.
To find the highest common factor of 6743,9251, we have to find the factors of both numbers and list the highest common factor.
The factors of 6743 are 1, 11, 613, 6743
The factors of 9251 are 1, 11, 29, 319, 841, 9251
The HCF of 6743,9251 is 11.
Lets's calculate GCF of 6743,9251
| 11 | 6743, 9251 |
| 613, 841 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6743,9251 By Matching Biggest Common Factor Method
Now, list down the factors of 6743
:1,11,613,6743
Now, list down the factors of 9251
:1,11,29,319,841,9251
Greatest Common Factor
We found the factors 6743,9251 . The biggest common factor number is the GCF number.
So the greatest common factor 6743,9251 is 11.
Lets's calculate LCM of 82,122
| 2 | 82, 122 |
| 41, 61 |
∴ So the LCM of the given numbers is 2 x 41 x 61 = 5002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5002
Therefore, the GCF of Fractions 6743/82,9251/122 is 11/5002
Least Common Multiple of 82,122 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 82,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,122) x common factors =2 x 1 = 2
LCM(82,122) = ( 82 × 122 ) / 2
LCM(82,122) = 10004 / 2
LCM(82,122) = 5002
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FAQs on GCF of Fractions of 6743/82, 9251/122
1. What is the HCF of 6743,9251?
The HCF of 6743,9251 is 11
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 6743/82, 9251/122?
Answer: GCF of Numerators as per given numbers 6743/82, 9251/122 is
GCF of Numerators i.e. for 6743,9251 is 11
LCM of denominators i.e. for 82,122 is 5002.
Thus, GCF of Fractions is 11/5002.Finally, GCF of Fractions for 6743/82, 9251/122 is 11/5002.