GCF of 6469/632, 3577/9909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6469/632, 3577/9909 i.e 1/6262488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6469/632, 3577/9909.
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 6469/632,3577/9909?
Given fractions are 6469/632,3577/9909
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 6469/632,3577/9909, numerators are 6469,3577
Denominators are 632,9909
The GCF of 6469,3577 is 1 .
LCM of 632,9909 is 6262488.
The greatest common factor of 6469/632,3577/9909 = [GCF of 6469,3577]/[LCM of 632,9909]= 1/6262488
Therefore, the GCF of 6469/632,3577/9909 is 1/6262488.
To find the highest common factor of 6469,3577, we have to find the factors of both numbers and list the highest common factor.
The factors of 6469 are 1, 6469
The factors of 3577 are 1, 7, 49, 73, 511, 3577
The HCF of 6469,3577 is 1.
Lets's calculate GCF of 6469,3577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6469,3577 By Matching Biggest Common Factor Method
Now, list down the factors of 6469
:1,6469
Now, list down the factors of 3577
:1,7,49,73,511,3577
Greatest Common Factor
We found the factors 6469,3577 . The biggest common factor number is the GCF number.
So the greatest common factor 6469,3577 is 1.
Lets's calculate LCM of 632,9909
Given numbers has no common factors except 1. So, there LCM is their product i.e 6262488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6262488
Therefore, the GCF of Fractions 6469/632,3577/9909 is 1/6262488
Least Common Multiple of 632,9909 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 632,9909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,9909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,9909) x common factors =1 x 1 = 1
LCM(632,9909) = ( 632 × 9909 ) / 1
LCM(632,9909) = 6262488 / 1
LCM(632,9909) = 6262488
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FAQs on GCF of Fractions of 6469/632, 3577/9909
1. What is the HCF of 6469,3577?
The HCF of 6469,3577 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 6469/632, 3577/9909?
Answer: GCF of Numerators as per given numbers 6469/632, 3577/9909 is
GCF of Numerators i.e. for 6469,3577 is 1
LCM of denominators i.e. for 632,9909 is 6262488.
Thus, GCF of Fractions is 1/6262488.Finally, GCF of Fractions for 6469/632, 3577/9909 is 1/6262488.