GCF of 9434/889, 3671/6849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9434/889, 3671/6849 i.e 1/6088761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9434/889, 3671/6849.
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 9434/889,3671/6849?
Given fractions are 9434/889,3671/6849
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 9434/889,3671/6849, numerators are 9434,3671
Denominators are 889,6849
The GCF of 9434,3671 is 1 .
LCM of 889,6849 is 6088761.
The greatest common factor of 9434/889,3671/6849 = [GCF of 9434,3671]/[LCM of 889,6849]= 1/6088761
Therefore, the GCF of 9434/889,3671/6849 is 1/6088761.
To find the highest common factor of 9434,3671, we have to find the factors of both numbers and list the highest common factor.
The factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434
The factors of 3671 are 1, 3671
The HCF of 9434,3671 is 1.
Lets's calculate GCF of 9434,3671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9434,3671 By Matching Biggest Common Factor Method
Now, list down the factors of 9434
:1,2,53,89,106,178,4717,9434
Now, list down the factors of 3671
:1,3671
Greatest Common Factor
We found the factors 9434,3671 . The biggest common factor number is the GCF number.
So the greatest common factor 9434,3671 is 1.
Lets's calculate LCM of 889,6849
Given numbers has no common factors except 1. So, there LCM is their product i.e 6088761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6088761
Therefore, the GCF of Fractions 9434/889,3671/6849 is 1/6088761
Least Common Multiple of 889,6849 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 889,6849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,6849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,6849) x common factors =1 x 1 = 1
LCM(889,6849) = ( 889 × 6849 ) / 1
LCM(889,6849) = 6088761 / 1
LCM(889,6849) = 6088761
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FAQs on GCF of Fractions of 9434/889, 3671/6849
1. What is the HCF of 9434,3671?
The HCF of 9434,3671 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 9434/889, 3671/6849?
Answer: GCF of Numerators as per given numbers 9434/889, 3671/6849 is
GCF of Numerators i.e. for 9434,3671 is 1
LCM of denominators i.e. for 889,6849 is 6088761.
Thus, GCF of Fractions is 1/6088761.Finally, GCF of Fractions for 9434/889, 3671/6849 is 1/6088761.