GCF of 5737/522, 5949/2278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5737/522, 5949/2278 i.e 1/594558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5737/522, 5949/2278.
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 5737/522,5949/2278?
Given fractions are 5737/522,5949/2278
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 5737/522,5949/2278, numerators are 5737,5949
Denominators are 522,2278
The GCF of 5737,5949 is 1 .
LCM of 522,2278 is 594558.
The greatest common factor of 5737/522,5949/2278 = [GCF of 5737,5949]/[LCM of 522,2278]= 1/594558
Therefore, the GCF of 5737/522,5949/2278 is 1/594558.
To find the highest common factor of 5737,5949, we have to find the factors of both numbers and list the highest common factor.
The factors of 5737 are 1, 5737
The factors of 5949 are 1, 3, 9, 661, 1983, 5949
The HCF of 5737,5949 is 1.
Lets's calculate GCF of 5737,5949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5737,5949 By Matching Biggest Common Factor Method
Now, list down the factors of 5737
:1,5737
Now, list down the factors of 5949
:1,3,9,661,1983,5949
Greatest Common Factor
We found the factors 5737,5949 . The biggest common factor number is the GCF number.
So the greatest common factor 5737,5949 is 1.
Lets's calculate LCM of 522,2278
| 2 | 522, 2278 |
| 261, 1139 |
∴ So the LCM of the given numbers is 2 x 261 x 1139 = 594558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594558
Therefore, the GCF of Fractions 5737/522,5949/2278 is 1/594558
Least Common Multiple of 522,2278 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 522,2278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,2278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,2278) x common factors =2 x 1 = 2
LCM(522,2278) = ( 522 × 2278 ) / 2
LCM(522,2278) = 1189116 / 2
LCM(522,2278) = 594558
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FAQs on GCF of Fractions of 5737/522, 5949/2278
1. What is the HCF of 5737,5949?
The HCF of 5737,5949 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 5737/522, 5949/2278?
Answer: GCF of Numerators as per given numbers 5737/522, 5949/2278 is
GCF of Numerators i.e. for 5737,5949 is 1
LCM of denominators i.e. for 522,2278 is 594558.
Thus, GCF of Fractions is 1/594558.Finally, GCF of Fractions for 5737/522, 5949/2278 is 1/594558.