GCF of 2477/746, 5691/1849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2477/746, 5691/1849 i.e 1/1379354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2477/746, 5691/1849.
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 2477/746,5691/1849?
Given fractions are 2477/746,5691/1849
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 2477/746,5691/1849, numerators are 2477,5691
Denominators are 746,1849
The GCF of 2477,5691 is 1 .
LCM of 746,1849 is 1379354.
The greatest common factor of 2477/746,5691/1849 = [GCF of 2477,5691]/[LCM of 746,1849]= 1/1379354
Therefore, the GCF of 2477/746,5691/1849 is 1/1379354.
To find the highest common factor of 2477,5691, we have to find the factors of both numbers and list the highest common factor.
The factors of 2477 are 1, 2477
The factors of 5691 are 1, 3, 7, 21, 271, 813, 1897, 5691
The HCF of 2477,5691 is 1.
Lets's calculate GCF of 2477,5691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2477,5691 By Matching Biggest Common Factor Method
Now, list down the factors of 2477
:1,2477
Now, list down the factors of 5691
:1,3,7,21,271,813,1897,5691
Greatest Common Factor
We found the factors 2477,5691 . The biggest common factor number is the GCF number.
So the greatest common factor 2477,5691 is 1.
Lets's calculate LCM of 746,1849
Given numbers has no common factors except 1. So, there LCM is their product i.e 1379354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1379354
Therefore, the GCF of Fractions 2477/746,5691/1849 is 1/1379354
Least Common Multiple of 746,1849 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 746,1849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,1849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,1849) x common factors =1 x 1 = 1
LCM(746,1849) = ( 746 × 1849 ) / 1
LCM(746,1849) = 1379354 / 1
LCM(746,1849) = 1379354
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2477/746, 5691/1849
1. What is the HCF of 2477,5691?
The HCF of 2477,5691 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 2477/746, 5691/1849?
Answer: GCF of Numerators as per given numbers 2477/746, 5691/1849 is
GCF of Numerators i.e. for 2477,5691 is 1
LCM of denominators i.e. for 746,1849 is 1379354.
Thus, GCF of Fractions is 1/1379354.Finally, GCF of Fractions for 2477/746, 5691/1849 is 1/1379354.