GCF of 6277/590, 4067/5592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6277/590, 4067/5592 i.e 1/1649640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6277/590, 4067/5592.
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 6277/590,4067/5592?
Given fractions are 6277/590,4067/5592
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 6277/590,4067/5592, numerators are 6277,4067
Denominators are 590,5592
The GCF of 6277,4067 is 1 .
LCM of 590,5592 is 1649640.
The greatest common factor of 6277/590,4067/5592 = [GCF of 6277,4067]/[LCM of 590,5592]= 1/1649640
Therefore, the GCF of 6277/590,4067/5592 is 1/1649640.
To find the highest common factor of 6277,4067, we have to find the factors of both numbers and list the highest common factor.
The factors of 6277 are 1, 6277
The factors of 4067 are 1, 7, 49, 83, 581, 4067
The HCF of 6277,4067 is 1.
Lets's calculate GCF of 6277,4067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6277,4067 By Matching Biggest Common Factor Method
Now, list down the factors of 6277
:1,6277
Now, list down the factors of 4067
:1,7,49,83,581,4067
Greatest Common Factor
We found the factors 6277,4067 . The biggest common factor number is the GCF number.
So the greatest common factor 6277,4067 is 1.
Lets's calculate LCM of 590,5592
| 2 | 590, 5592 |
| 295, 2796 |
∴ So the LCM of the given numbers is 2 x 295 x 2796 = 1649640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1649640
Therefore, the GCF of Fractions 6277/590,4067/5592 is 1/1649640
Least Common Multiple of 590,5592 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 590,5592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,5592) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,5592) x common factors =2 x 1 = 2
LCM(590,5592) = ( 590 × 5592 ) / 2
LCM(590,5592) = 3299280 / 2
LCM(590,5592) = 1649640
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FAQs on GCF of Fractions of 6277/590, 4067/5592
1. What is the HCF of 6277,4067?
The HCF of 6277,4067 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 6277/590, 4067/5592?
Answer: GCF of Numerators as per given numbers 6277/590, 4067/5592 is
GCF of Numerators i.e. for 6277,4067 is 1
LCM of denominators i.e. for 590,5592 is 1649640.
Thus, GCF of Fractions is 1/1649640.Finally, GCF of Fractions for 6277/590, 4067/5592 is 1/1649640.