GCF of 6153/841, 9209/311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6153/841, 9209/311 i.e 1/261551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6153/841, 9209/311.
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 6153/841,9209/311?
Given fractions are 6153/841,9209/311
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 6153/841,9209/311, numerators are 6153,9209
Denominators are 841,311
The GCF of 6153,9209 is 1 .
LCM of 841,311 is 261551.
The greatest common factor of 6153/841,9209/311 = [GCF of 6153,9209]/[LCM of 841,311]= 1/261551
Therefore, the GCF of 6153/841,9209/311 is 1/261551.
To find the highest common factor of 6153,9209, we have to find the factors of both numbers and list the highest common factor.
The factors of 6153 are 1, 3, 7, 21, 293, 879, 2051, 6153
The factors of 9209 are 1, 9209
The HCF of 6153,9209 is 1.
Lets's calculate GCF of 6153,9209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6153,9209 By Matching Biggest Common Factor Method
Now, list down the factors of 6153
:1,3,7,21,293,879,2051,6153
Now, list down the factors of 9209
:1,9209
Greatest Common Factor
We found the factors 6153,9209 . The biggest common factor number is the GCF number.
So the greatest common factor 6153,9209 is 1.
Lets's calculate LCM of 841,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 261551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261551
Therefore, the GCF of Fractions 6153/841,9209/311 is 1/261551
Least Common Multiple of 841,311 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 841,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,311) x common factors =1 x 1 = 1
LCM(841,311) = ( 841 × 311 ) / 1
LCM(841,311) = 261551 / 1
LCM(841,311) = 261551
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FAQs on GCF of Fractions of 6153/841, 9209/311
1. What is the HCF of 6153,9209?
The HCF of 6153,9209 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 6153/841, 9209/311?
Answer: GCF of Numerators as per given numbers 6153/841, 9209/311 is
GCF of Numerators i.e. for 6153,9209 is 1
LCM of denominators i.e. for 841,311 is 261551.
Thus, GCF of Fractions is 1/261551.Finally, GCF of Fractions for 6153/841, 9209/311 is 1/261551.