GCF of 5801/690, 4523/3699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5801/690, 4523/3699 i.e 1/850770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5801/690, 4523/3699.
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 5801/690,4523/3699?
Given fractions are 5801/690,4523/3699
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 5801/690,4523/3699, numerators are 5801,4523
Denominators are 690,3699
The GCF of 5801,4523 is 1 .
LCM of 690,3699 is 850770.
The greatest common factor of 5801/690,4523/3699 = [GCF of 5801,4523]/[LCM of 690,3699]= 1/850770
Therefore, the GCF of 5801/690,4523/3699 is 1/850770.
To find the highest common factor of 5801,4523, we have to find the factors of both numbers and list the highest common factor.
The factors of 5801 are 1, 5801
The factors of 4523 are 1, 4523
The HCF of 5801,4523 is 1.
Lets's calculate GCF of 5801,4523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5801,4523 By Matching Biggest Common Factor Method
Now, list down the factors of 5801
:1,5801
Now, list down the factors of 4523
:1,4523
Greatest Common Factor
We found the factors 5801,4523 . The biggest common factor number is the GCF number.
So the greatest common factor 5801,4523 is 1.
Lets's calculate LCM of 690,3699
| 3 | 690, 3699 |
| 230, 1233 |
∴ So the LCM of the given numbers is 3 x 230 x 1233 = 850770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850770
Therefore, the GCF of Fractions 5801/690,4523/3699 is 1/850770
Least Common Multiple of 690,3699 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 690,3699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,3699) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(690,3699) x common factors =3 x 1 = 3
LCM(690,3699) = ( 690 × 3699 ) / 3
LCM(690,3699) = 2552310 / 3
LCM(690,3699) = 850770
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FAQs on GCF of Fractions of 5801/690, 4523/3699
1. What is the HCF of 5801,4523?
The HCF of 5801,4523 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 5801/690, 4523/3699?
Answer: GCF of Numerators as per given numbers 5801/690, 4523/3699 is
GCF of Numerators i.e. for 5801,4523 is 1
LCM of denominators i.e. for 690,3699 is 850770.
Thus, GCF of Fractions is 1/850770.Finally, GCF of Fractions for 5801/690, 4523/3699 is 1/850770.