GCF of 5491/598, 6682/2572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5491/598, 6682/2572 i.e 1/769028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5491/598, 6682/2572.
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 5491/598,6682/2572?
Given fractions are 5491/598,6682/2572
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 5491/598,6682/2572, numerators are 5491,6682
Denominators are 598,2572
The GCF of 5491,6682 is 1 .
LCM of 598,2572 is 769028.
The greatest common factor of 5491/598,6682/2572 = [GCF of 5491,6682]/[LCM of 598,2572]= 1/769028
Therefore, the GCF of 5491/598,6682/2572 is 1/769028.
To find the highest common factor of 5491,6682, we have to find the factors of both numbers and list the highest common factor.
The factors of 5491 are 1, 17, 19, 289, 323, 5491
The factors of 6682 are 1, 2, 13, 26, 257, 514, 3341, 6682
The HCF of 5491,6682 is 1.
Lets's calculate GCF of 5491,6682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5491,6682 By Matching Biggest Common Factor Method
Now, list down the factors of 5491
:1,17,19,289,323,5491
Now, list down the factors of 6682
:1,2,13,26,257,514,3341,6682
Greatest Common Factor
We found the factors 5491,6682 . The biggest common factor number is the GCF number.
So the greatest common factor 5491,6682 is 1.
Lets's calculate LCM of 598,2572
| 2 | 598, 2572 |
| 299, 1286 |
∴ So the LCM of the given numbers is 2 x 299 x 1286 = 769028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/769028
Therefore, the GCF of Fractions 5491/598,6682/2572 is 1/769028
Least Common Multiple of 598,2572 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 598,2572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,2572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,2572) x common factors =2 x 1 = 2
LCM(598,2572) = ( 598 × 2572 ) / 2
LCM(598,2572) = 1538056 / 2
LCM(598,2572) = 769028
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FAQs on GCF of Fractions of 5491/598, 6682/2572
1. What is the HCF of 5491,6682?
The HCF of 5491,6682 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 5491/598, 6682/2572?
Answer: GCF of Numerators as per given numbers 5491/598, 6682/2572 is
GCF of Numerators i.e. for 5491,6682 is 1
LCM of denominators i.e. for 598,2572 is 769028.
Thus, GCF of Fractions is 1/769028.Finally, GCF of Fractions for 5491/598, 6682/2572 is 1/769028.