GCF of 6826/464, 7791/3548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6826/464, 7791/3548 i.e 1/411568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6826/464, 7791/3548.
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 6826/464,7791/3548?
Given fractions are 6826/464,7791/3548
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 6826/464,7791/3548, numerators are 6826,7791
Denominators are 464,3548
The GCF of 6826,7791 is 1 .
LCM of 464,3548 is 411568.
The greatest common factor of 6826/464,7791/3548 = [GCF of 6826,7791]/[LCM of 464,3548]= 1/411568
Therefore, the GCF of 6826/464,7791/3548 is 1/411568.
To find the highest common factor of 6826,7791, we have to find the factors of both numbers and list the highest common factor.
The factors of 6826 are 1, 2, 3413, 6826
The factors of 7791 are 1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597, 7791
The HCF of 6826,7791 is 1.
Lets's calculate GCF of 6826,7791
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6826,7791 By Matching Biggest Common Factor Method
Now, list down the factors of 6826
:1,2,3413,6826
Now, list down the factors of 7791
:1,3,7,21,49,53,147,159,371,1113,2597,7791
Greatest Common Factor
We found the factors 6826,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 6826,7791 is 1.
Lets's calculate LCM of 464,3548
| 2 | 464, 3548 |
| 2 | 232, 1774 |
| 116, 887 |
∴ So the LCM of the given numbers is 2 x 2 x 116 x 887 = 411568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411568
Therefore, the GCF of Fractions 6826/464,7791/3548 is 1/411568
Least Common Multiple of 464,3548 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 464,3548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,3548) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(464,3548) x common factors =4 x 1 = 4
LCM(464,3548) = ( 464 × 3548 ) / 4
LCM(464,3548) = 1646272 / 4
LCM(464,3548) = 411568
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FAQs on GCF of Fractions of 6826/464, 7791/3548
1. What is the HCF of 6826,7791?
The HCF of 6826,7791 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 6826/464, 7791/3548?
Answer: GCF of Numerators as per given numbers 6826/464, 7791/3548 is
GCF of Numerators i.e. for 6826,7791 is 1
LCM of denominators i.e. for 464,3548 is 411568.
Thus, GCF of Fractions is 1/411568.Finally, GCF of Fractions for 6826/464, 7791/3548 is 1/411568.