GCF of 6654/769, 8569/1987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6654/769, 8569/1987 i.e 1/1528003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6654/769, 8569/1987.
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 6654/769,8569/1987?
Given fractions are 6654/769,8569/1987
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 6654/769,8569/1987, numerators are 6654,8569
Denominators are 769,1987
The GCF of 6654,8569 is 1 .
LCM of 769,1987 is 1528003.
The greatest common factor of 6654/769,8569/1987 = [GCF of 6654,8569]/[LCM of 769,1987]= 1/1528003
Therefore, the GCF of 6654/769,8569/1987 is 1/1528003.
To find the highest common factor of 6654,8569, we have to find the factors of both numbers and list the highest common factor.
The factors of 6654 are 1, 2, 3, 6, 1109, 2218, 3327, 6654
The factors of 8569 are 1, 11, 19, 41, 209, 451, 779, 8569
The HCF of 6654,8569 is 1.
Lets's calculate GCF of 6654,8569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6654,8569 By Matching Biggest Common Factor Method
Now, list down the factors of 6654
:1,2,3,6,1109,2218,3327,6654
Now, list down the factors of 8569
:1,11,19,41,209,451,779,8569
Greatest Common Factor
We found the factors 6654,8569 . The biggest common factor number is the GCF number.
So the greatest common factor 6654,8569 is 1.
Lets's calculate LCM of 769,1987
Given numbers has no common factors except 1. So, there LCM is their product i.e 1528003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1528003
Therefore, the GCF of Fractions 6654/769,8569/1987 is 1/1528003
Least Common Multiple of 769,1987 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 769,1987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,1987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,1987) x common factors =1 x 1 = 1
LCM(769,1987) = ( 769 × 1987 ) / 1
LCM(769,1987) = 1528003 / 1
LCM(769,1987) = 1528003
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FAQs on GCF of Fractions of 6654/769, 8569/1987
1. What is the HCF of 6654,8569?
The HCF of 6654,8569 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 6654/769, 8569/1987?
Answer: GCF of Numerators as per given numbers 6654/769, 8569/1987 is
GCF of Numerators i.e. for 6654,8569 is 1
LCM of denominators i.e. for 769,1987 is 1528003.
Thus, GCF of Fractions is 1/1528003.Finally, GCF of Fractions for 6654/769, 8569/1987 is 1/1528003.