GCF of 5209/520, 7489/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5209/520, 7489/565 i.e 1/58760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5209/520, 7489/565.
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 5209/520,7489/565?
Given fractions are 5209/520,7489/565
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 5209/520,7489/565, numerators are 5209,7489
Denominators are 520,565
The GCF of 5209,7489 is 1 .
LCM of 520,565 is 58760.
The greatest common factor of 5209/520,7489/565 = [GCF of 5209,7489]/[LCM of 520,565]= 1/58760
Therefore, the GCF of 5209/520,7489/565 is 1/58760.
To find the highest common factor of 5209,7489, we have to find the factors of both numbers and list the highest common factor.
The factors of 5209 are 1, 5209
The factors of 7489 are 1, 7489
The HCF of 5209,7489 is 1.
Lets's calculate GCF of 5209,7489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5209,7489 By Matching Biggest Common Factor Method
Now, list down the factors of 5209
:1,5209
Now, list down the factors of 7489
:1,7489
Greatest Common Factor
We found the factors 5209,7489 . The biggest common factor number is the GCF number.
So the greatest common factor 5209,7489 is 1.
Lets's calculate LCM of 520,565
| 5 | 520, 565 |
| 104, 113 |
∴ So the LCM of the given numbers is 5 x 104 x 113 = 58760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58760
Therefore, the GCF of Fractions 5209/520,7489/565 is 1/58760
Least Common Multiple of 520,565 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 520,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,565) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(520,565) x common factors =5 x 1 = 5
LCM(520,565) = ( 520 × 565 ) / 5
LCM(520,565) = 293800 / 5
LCM(520,565) = 58760
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FAQs on GCF of Fractions of 5209/520, 7489/565
1. What is the HCF of 5209,7489?
The HCF of 5209,7489 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 5209/520, 7489/565?
Answer: GCF of Numerators as per given numbers 5209/520, 7489/565 is
GCF of Numerators i.e. for 5209,7489 is 1
LCM of denominators i.e. for 520,565 is 58760.
Thus, GCF of Fractions is 1/58760.Finally, GCF of Fractions for 5209/520, 7489/565 is 1/58760.