GCF of 7711/796, 6489/4562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7711/796, 6489/4562 i.e 1/1815676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7711/796, 6489/4562.
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 7711/796,6489/4562?
Given fractions are 7711/796,6489/4562
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 7711/796,6489/4562, numerators are 7711,6489
Denominators are 796,4562
The GCF of 7711,6489 is 1 .
LCM of 796,4562 is 1815676.
The greatest common factor of 7711/796,6489/4562 = [GCF of 7711,6489]/[LCM of 796,4562]= 1/1815676
Therefore, the GCF of 7711/796,6489/4562 is 1/1815676.
To find the highest common factor of 7711,6489, we have to find the factors of both numbers and list the highest common factor.
The factors of 7711 are 1, 11, 701, 7711
The factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489
The HCF of 7711,6489 is 1.
Lets's calculate GCF of 7711,6489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7711,6489 By Matching Biggest Common Factor Method
Now, list down the factors of 7711
:1,11,701,7711
Now, list down the factors of 6489
:1,3,7,9,21,63,103,309,721,927,2163,6489
Greatest Common Factor
We found the factors 7711,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 7711,6489 is 1.
Lets's calculate LCM of 796,4562
| 2 | 796, 4562 |
| 398, 2281 |
∴ So the LCM of the given numbers is 2 x 398 x 2281 = 1815676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1815676
Therefore, the GCF of Fractions 7711/796,6489/4562 is 1/1815676
Least Common Multiple of 796,4562 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 796,4562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,4562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,4562) x common factors =2 x 1 = 2
LCM(796,4562) = ( 796 × 4562 ) / 2
LCM(796,4562) = 3631352 / 2
LCM(796,4562) = 1815676
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FAQs on GCF of Fractions of 7711/796, 6489/4562
1. What is the HCF of 7711,6489?
The HCF of 7711,6489 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 7711/796, 6489/4562?
Answer: GCF of Numerators as per given numbers 7711/796, 6489/4562 is
GCF of Numerators i.e. for 7711,6489 is 1
LCM of denominators i.e. for 796,4562 is 1815676.
Thus, GCF of Fractions is 1/1815676.Finally, GCF of Fractions for 7711/796, 6489/4562 is 1/1815676.