GCF of 6511/506, 7023/9145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6511/506, 7023/9145 i.e 1/4627370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6511/506, 7023/9145.
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 6511/506,7023/9145?
Given fractions are 6511/506,7023/9145
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 6511/506,7023/9145, numerators are 6511,7023
Denominators are 506,9145
The GCF of 6511,7023 is 1 .
LCM of 506,9145 is 4627370.
The greatest common factor of 6511/506,7023/9145 = [GCF of 6511,7023]/[LCM of 506,9145]= 1/4627370
Therefore, the GCF of 6511/506,7023/9145 is 1/4627370.
To find the highest common factor of 6511,7023, we have to find the factors of both numbers and list the highest common factor.
The factors of 6511 are 1, 17, 383, 6511
The factors of 7023 are 1, 3, 2341, 7023
The HCF of 6511,7023 is 1.
Lets's calculate GCF of 6511,7023
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6511,7023 By Matching Biggest Common Factor Method
Now, list down the factors of 6511
:1,17,383,6511
Now, list down the factors of 7023
:1,3,2341,7023
Greatest Common Factor
We found the factors 6511,7023 . The biggest common factor number is the GCF number.
So the greatest common factor 6511,7023 is 1.
Lets's calculate LCM of 506,9145
Given numbers has no common factors except 1. So, there LCM is their product i.e 4627370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4627370
Therefore, the GCF of Fractions 6511/506,7023/9145 is 1/4627370
Least Common Multiple of 506,9145 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 506,9145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,9145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,9145) x common factors =1 x 1 = 1
LCM(506,9145) = ( 506 × 9145 ) / 1
LCM(506,9145) = 4627370 / 1
LCM(506,9145) = 4627370
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FAQs on GCF of Fractions of 6511/506, 7023/9145
1. What is the HCF of 6511,7023?
The HCF of 6511,7023 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 6511/506, 7023/9145?
Answer: GCF of Numerators as per given numbers 6511/506, 7023/9145 is
GCF of Numerators i.e. for 6511,7023 is 1
LCM of denominators i.e. for 506,9145 is 4627370.
Thus, GCF of Fractions is 1/4627370.Finally, GCF of Fractions for 6511/506, 7023/9145 is 1/4627370.