GCF of 2863/567, 1127/6514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2863/567, 1127/6514 i.e 7/3693438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2863/567, 1127/6514.
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 2863/567,1127/6514?
Given fractions are 2863/567,1127/6514
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 2863/567,1127/6514, numerators are 2863,1127
Denominators are 567,6514
The GCF of 2863,1127 is 7 .
LCM of 567,6514 is 3693438.
The greatest common factor of 2863/567,1127/6514 = [GCF of 2863,1127]/[LCM of 567,6514]= 7/3693438
Therefore, the GCF of 2863/567,1127/6514 is 7/3693438.
To find the highest common factor of 2863,1127, we have to find the factors of both numbers and list the highest common factor.
The factors of 2863 are 1, 7, 409, 2863
The factors of 1127 are 1, 7, 23, 49, 161, 1127
The HCF of 2863,1127 is 7.
Lets's calculate GCF of 2863,1127
| 7 | 2863, 1127 |
| 409, 161 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2863,1127 By Matching Biggest Common Factor Method
Now, list down the factors of 2863
:1,7,409,2863
Now, list down the factors of 1127
:1,7,23,49,161,1127
Greatest Common Factor
We found the factors 2863,1127 . The biggest common factor number is the GCF number.
So the greatest common factor 2863,1127 is 7.
Lets's calculate LCM of 567,6514
Given numbers has no common factors except 1. So, there LCM is their product i.e 3693438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3693438
Therefore, the GCF of Fractions 2863/567,1127/6514 is 7/3693438
Least Common Multiple of 567,6514 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 567,6514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,6514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,6514) x common factors =1 x 1 = 1
LCM(567,6514) = ( 567 × 6514 ) / 1
LCM(567,6514) = 3693438 / 1
LCM(567,6514) = 3693438
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FAQs on GCF of Fractions of 2863/567, 1127/6514
1. What is the HCF of 2863,1127?
The HCF of 2863,1127 is 7
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 2863/567, 1127/6514?
Answer: GCF of Numerators as per given numbers 2863/567, 1127/6514 is
GCF of Numerators i.e. for 2863,1127 is 7
LCM of denominators i.e. for 567,6514 is 3693438.
Thus, GCF of Fractions is 7/3693438.Finally, GCF of Fractions for 2863/567, 1127/6514 is 7/3693438.