GCF of 5731/677, 8767/2479
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5731/677, 8767/2479 i.e 11/1678283 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5731/677, 8767/2479.
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 5731/677,8767/2479?
Given fractions are 5731/677,8767/2479
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 5731/677,8767/2479, numerators are 5731,8767
Denominators are 677,2479
The GCF of 5731,8767 is 11 .
LCM of 677,2479 is 1678283.
The greatest common factor of 5731/677,8767/2479 = [GCF of 5731,8767]/[LCM of 677,2479]= 11/1678283
Therefore, the GCF of 5731/677,8767/2479 is 11/1678283.
To find the highest common factor of 5731,8767, we have to find the factors of both numbers and list the highest common factor.
The factors of 5731 are 1, 11, 521, 5731
The factors of 8767 are 1, 11, 797, 8767
The HCF of 5731,8767 is 11.
Lets's calculate GCF of 5731,8767
| 11 | 5731, 8767 |
| 521, 797 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5731,8767 By Matching Biggest Common Factor Method
Now, list down the factors of 5731
:1,11,521,5731
Now, list down the factors of 8767
:1,11,797,8767
Greatest Common Factor
We found the factors 5731,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 5731,8767 is 11.
Lets's calculate LCM of 677,2479
Given numbers has no common factors except 1. So, there LCM is their product i.e 1678283
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1678283
Therefore, the GCF of Fractions 5731/677,8767/2479 is 11/1678283
Least Common Multiple of 677,2479 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 677,2479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,2479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,2479) x common factors =1 x 1 = 1
LCM(677,2479) = ( 677 × 2479 ) / 1
LCM(677,2479) = 1678283 / 1
LCM(677,2479) = 1678283
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FAQs on GCF of Fractions of 5731/677, 8767/2479
1. What is the HCF of 5731,8767?
The HCF of 5731,8767 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 5731/677, 8767/2479?
Answer: GCF of Numerators as per given numbers 5731/677, 8767/2479 is
GCF of Numerators i.e. for 5731,8767 is 11
LCM of denominators i.e. for 677,2479 is 1678283.
Thus, GCF of Fractions is 11/1678283.Finally, GCF of Fractions for 5731/677, 8767/2479 is 11/1678283.