GCF of 6928/507, 7567/6700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6928/507, 7567/6700 i.e 1/3396900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6928/507, 7567/6700.
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 6928/507,7567/6700?
Given fractions are 6928/507,7567/6700
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 6928/507,7567/6700, numerators are 6928,7567
Denominators are 507,6700
The GCF of 6928,7567 is 1 .
LCM of 507,6700 is 3396900.
The greatest common factor of 6928/507,7567/6700 = [GCF of 6928,7567]/[LCM of 507,6700]= 1/3396900
Therefore, the GCF of 6928/507,7567/6700 is 1/3396900.
To find the highest common factor of 6928,7567, we have to find the factors of both numbers and list the highest common factor.
The factors of 6928 are 1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928
The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567
The HCF of 6928,7567 is 1.
Lets's calculate GCF of 6928,7567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6928,7567 By Matching Biggest Common Factor Method
Now, list down the factors of 6928
:1,2,4,8,16,433,866,1732,3464,6928
Now, list down the factors of 7567
:1,7,23,47,161,329,1081,7567
Greatest Common Factor
We found the factors 6928,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 6928,7567 is 1.
Lets's calculate LCM of 507,6700
Given numbers has no common factors except 1. So, there LCM is their product i.e 3396900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3396900
Therefore, the GCF of Fractions 6928/507,7567/6700 is 1/3396900
Least Common Multiple of 507,6700 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 507,6700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,6700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,6700) x common factors =1 x 1 = 1
LCM(507,6700) = ( 507 × 6700 ) / 1
LCM(507,6700) = 3396900 / 1
LCM(507,6700) = 3396900
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FAQs on GCF of Fractions of 6928/507, 7567/6700
1. What is the HCF of 6928,7567?
The HCF of 6928,7567 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 6928/507, 7567/6700?
Answer: GCF of Numerators as per given numbers 6928/507, 7567/6700 is
GCF of Numerators i.e. for 6928,7567 is 1
LCM of denominators i.e. for 507,6700 is 3396900.
Thus, GCF of Fractions is 1/3396900.Finally, GCF of Fractions for 6928/507, 7567/6700 is 1/3396900.