GCF of 2807/409, 8509/1664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2807/409, 8509/1664 i.e 1/680576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2807/409, 8509/1664.
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 2807/409,8509/1664?
Given fractions are 2807/409,8509/1664
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 2807/409,8509/1664, numerators are 2807,8509
Denominators are 409,1664
The GCF of 2807,8509 is 1 .
LCM of 409,1664 is 680576.
The greatest common factor of 2807/409,8509/1664 = [GCF of 2807,8509]/[LCM of 409,1664]= 1/680576
Therefore, the GCF of 2807/409,8509/1664 is 1/680576.
To find the highest common factor of 2807,8509, we have to find the factors of both numbers and list the highest common factor.
The factors of 2807 are 1, 7, 401, 2807
The factors of 8509 are 1, 67, 127, 8509
The HCF of 2807,8509 is 1.
Lets's calculate GCF of 2807,8509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2807,8509 By Matching Biggest Common Factor Method
Now, list down the factors of 2807
:1,7,401,2807
Now, list down the factors of 8509
:1,67,127,8509
Greatest Common Factor
We found the factors 2807,8509 . The biggest common factor number is the GCF number.
So the greatest common factor 2807,8509 is 1.
Lets's calculate LCM of 409,1664
Given numbers has no common factors except 1. So, there LCM is their product i.e 680576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680576
Therefore, the GCF of Fractions 2807/409,8509/1664 is 1/680576
Least Common Multiple of 409,1664 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 409,1664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,1664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,1664) x common factors =1 x 1 = 1
LCM(409,1664) = ( 409 × 1664 ) / 1
LCM(409,1664) = 680576 / 1
LCM(409,1664) = 680576
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FAQs on GCF of Fractions of 2807/409, 8509/1664
1. What is the HCF of 2807,8509?
The HCF of 2807,8509 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 2807/409, 8509/1664?
Answer: GCF of Numerators as per given numbers 2807/409, 8509/1664 is
GCF of Numerators i.e. for 2807,8509 is 1
LCM of denominators i.e. for 409,1664 is 680576.
Thus, GCF of Fractions is 1/680576.Finally, GCF of Fractions for 2807/409, 8509/1664 is 1/680576.