GCF of 6059/715, 2299/5240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6059/715, 2299/5240 i.e 1/749320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6059/715, 2299/5240.
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 6059/715,2299/5240?
Given fractions are 6059/715,2299/5240
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 6059/715,2299/5240, numerators are 6059,2299
Denominators are 715,5240
The GCF of 6059,2299 is 1 .
LCM of 715,5240 is 749320.
The greatest common factor of 6059/715,2299/5240 = [GCF of 6059,2299]/[LCM of 715,5240]= 1/749320
Therefore, the GCF of 6059/715,2299/5240 is 1/749320.
To find the highest common factor of 6059,2299, we have to find the factors of both numbers and list the highest common factor.
The factors of 6059 are 1, 73, 83, 6059
The factors of 2299 are 1, 11, 19, 121, 209, 2299
The HCF of 6059,2299 is 1.
Lets's calculate GCF of 6059,2299
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6059,2299 By Matching Biggest Common Factor Method
Now, list down the factors of 6059
:1,73,83,6059
Now, list down the factors of 2299
:1,11,19,121,209,2299
Greatest Common Factor
We found the factors 6059,2299 . The biggest common factor number is the GCF number.
So the greatest common factor 6059,2299 is 1.
Lets's calculate LCM of 715,5240
| 5 | 715, 5240 |
| 143, 1048 |
∴ So the LCM of the given numbers is 5 x 143 x 1048 = 749320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749320
Therefore, the GCF of Fractions 6059/715,2299/5240 is 1/749320
Least Common Multiple of 715,5240 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 715,5240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,5240) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,5240) x common factors =5 x 1 = 5
LCM(715,5240) = ( 715 × 5240 ) / 5
LCM(715,5240) = 3746600 / 5
LCM(715,5240) = 749320
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FAQs on GCF of Fractions of 6059/715, 2299/5240
1. What is the HCF of 6059,2299?
The HCF of 6059,2299 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 6059/715, 2299/5240?
Answer: GCF of Numerators as per given numbers 6059/715, 2299/5240 is
GCF of Numerators i.e. for 6059,2299 is 1
LCM of denominators i.e. for 715,5240 is 749320.
Thus, GCF of Fractions is 1/749320.Finally, GCF of Fractions for 6059/715, 2299/5240 is 1/749320.