GCF of 9209/234, 9738/4235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9209/234, 9738/4235 i.e 1/990990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9209/234, 9738/4235.
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 9209/234,9738/4235?
Given fractions are 9209/234,9738/4235
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 9209/234,9738/4235, numerators are 9209,9738
Denominators are 234,4235
The GCF of 9209,9738 is 1 .
LCM of 234,4235 is 990990.
The greatest common factor of 9209/234,9738/4235 = [GCF of 9209,9738]/[LCM of 234,4235]= 1/990990
Therefore, the GCF of 9209/234,9738/4235 is 1/990990.
To find the highest common factor of 9209,9738, we have to find the factors of both numbers and list the highest common factor.
The factors of 9209 are 1, 9209
The factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738
The HCF of 9209,9738 is 1.
Lets's calculate GCF of 9209,9738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9209,9738 By Matching Biggest Common Factor Method
Now, list down the factors of 9209
:1,9209
Now, list down the factors of 9738
:1,2,3,6,9,18,541,1082,1623,3246,4869,9738
Greatest Common Factor
We found the factors 9209,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 9209,9738 is 1.
Lets's calculate LCM of 234,4235
Given numbers has no common factors except 1. So, there LCM is their product i.e 990990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990990
Therefore, the GCF of Fractions 9209/234,9738/4235 is 1/990990
Least Common Multiple of 234,4235 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 234,4235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,4235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(234,4235) x common factors =1 x 1 = 1
LCM(234,4235) = ( 234 × 4235 ) / 1
LCM(234,4235) = 990990 / 1
LCM(234,4235) = 990990
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FAQs on GCF of Fractions of 9209/234, 9738/4235
1. What is the HCF of 9209,9738?
The HCF of 9209,9738 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 9209/234, 9738/4235?
Answer: GCF of Numerators as per given numbers 9209/234, 9738/4235 is
GCF of Numerators i.e. for 9209,9738 is 1
LCM of denominators i.e. for 234,4235 is 990990.
Thus, GCF of Fractions is 1/990990.Finally, GCF of Fractions for 9209/234, 9738/4235 is 1/990990.