GCF of 6285/584, 6590/7567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6285/584, 6590/7567 i.e 5/4419128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6285/584, 6590/7567.
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 6285/584,6590/7567?
Given fractions are 6285/584,6590/7567
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 6285/584,6590/7567, numerators are 6285,6590
Denominators are 584,7567
The GCF of 6285,6590 is 5 .
LCM of 584,7567 is 4419128.
The greatest common factor of 6285/584,6590/7567 = [GCF of 6285,6590]/[LCM of 584,7567]= 5/4419128
Therefore, the GCF of 6285/584,6590/7567 is 5/4419128.
To find the highest common factor of 6285,6590, we have to find the factors of both numbers and list the highest common factor.
The factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285
The factors of 6590 are 1, 2, 5, 10, 659, 1318, 3295, 6590
The HCF of 6285,6590 is 5.
Lets's calculate GCF of 6285,6590
| 5 | 6285, 6590 |
| 1257, 1318 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6285,6590 By Matching Biggest Common Factor Method
Now, list down the factors of 6285
:1,3,5,15,419,1257,2095,6285
Now, list down the factors of 6590
:1,2,5,10,659,1318,3295,6590
Greatest Common Factor
We found the factors 6285,6590 . The biggest common factor number is the GCF number.
So the greatest common factor 6285,6590 is 5.
Lets's calculate LCM of 584,7567
Given numbers has no common factors except 1. So, there LCM is their product i.e 4419128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4419128
Therefore, the GCF of Fractions 6285/584,6590/7567 is 5/4419128
Least Common Multiple of 584,7567 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 584,7567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,7567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,7567) x common factors =1 x 1 = 1
LCM(584,7567) = ( 584 × 7567 ) / 1
LCM(584,7567) = 4419128 / 1
LCM(584,7567) = 4419128
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FAQs on GCF of Fractions of 6285/584, 6590/7567
1. What is the HCF of 6285,6590?
The HCF of 6285,6590 is 5
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 6285/584, 6590/7567?
Answer: GCF of Numerators as per given numbers 6285/584, 6590/7567 is
GCF of Numerators i.e. for 6285,6590 is 5
LCM of denominators i.e. for 584,7567 is 4419128.
Thus, GCF of Fractions is 5/4419128.Finally, GCF of Fractions for 6285/584, 6590/7567 is 5/4419128.