GCF of 6587/907, 3501/5657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6587/907, 3501/5657 i.e 1/5130899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6587/907, 3501/5657.
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 6587/907,3501/5657?
Given fractions are 6587/907,3501/5657
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 6587/907,3501/5657, numerators are 6587,3501
Denominators are 907,5657
The GCF of 6587,3501 is 1 .
LCM of 907,5657 is 5130899.
The greatest common factor of 6587/907,3501/5657 = [GCF of 6587,3501]/[LCM of 907,5657]= 1/5130899
Therefore, the GCF of 6587/907,3501/5657 is 1/5130899.
To find the highest common factor of 6587,3501, we have to find the factors of both numbers and list the highest common factor.
The factors of 6587 are 1, 7, 941, 6587
The factors of 3501 are 1, 3, 9, 389, 1167, 3501
The HCF of 6587,3501 is 1.
Lets's calculate GCF of 6587,3501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6587,3501 By Matching Biggest Common Factor Method
Now, list down the factors of 6587
:1,7,941,6587
Now, list down the factors of 3501
:1,3,9,389,1167,3501
Greatest Common Factor
We found the factors 6587,3501 . The biggest common factor number is the GCF number.
So the greatest common factor 6587,3501 is 1.
Lets's calculate LCM of 907,5657
Given numbers has no common factors except 1. So, there LCM is their product i.e 5130899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5130899
Therefore, the GCF of Fractions 6587/907,3501/5657 is 1/5130899
Least Common Multiple of 907,5657 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 907,5657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,5657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,5657) x common factors =1 x 1 = 1
LCM(907,5657) = ( 907 × 5657 ) / 1
LCM(907,5657) = 5130899 / 1
LCM(907,5657) = 5130899
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6587/907, 3501/5657
1. What is the HCF of 6587,3501?
The HCF of 6587,3501 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 6587/907, 3501/5657?
Answer: GCF of Numerators as per given numbers 6587/907, 3501/5657 is
GCF of Numerators i.e. for 6587,3501 is 1
LCM of denominators i.e. for 907,5657 is 5130899.
Thus, GCF of Fractions is 1/5130899.Finally, GCF of Fractions for 6587/907, 3501/5657 is 1/5130899.