GCF of 2341/762, 9109/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2341/762, 9109/267 i.e 1/67818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2341/762, 9109/267.
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 2341/762,9109/267?
Given fractions are 2341/762,9109/267
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 2341/762,9109/267, numerators are 2341,9109
Denominators are 762,267
The GCF of 2341,9109 is 1 .
LCM of 762,267 is 67818.
The greatest common factor of 2341/762,9109/267 = [GCF of 2341,9109]/[LCM of 762,267]= 1/67818
Therefore, the GCF of 2341/762,9109/267 is 1/67818.
To find the highest common factor of 2341,9109, we have to find the factors of both numbers and list the highest common factor.
The factors of 2341 are 1, 2341
The factors of 9109 are 1, 9109
The HCF of 2341,9109 is 1.
Lets's calculate GCF of 2341,9109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2341,9109 By Matching Biggest Common Factor Method
Now, list down the factors of 2341
:1,2341
Now, list down the factors of 9109
:1,9109
Greatest Common Factor
We found the factors 2341,9109 . The biggest common factor number is the GCF number.
So the greatest common factor 2341,9109 is 1.
Lets's calculate LCM of 762,267
| 3 | 762, 267 |
| 254, 89 |
∴ So the LCM of the given numbers is 3 x 254 x 89 = 67818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67818
Therefore, the GCF of Fractions 2341/762,9109/267 is 1/67818
Least Common Multiple of 762,267 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 762,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,267) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(762,267) x common factors =3 x 1 = 3
LCM(762,267) = ( 762 × 267 ) / 3
LCM(762,267) = 203454 / 3
LCM(762,267) = 67818
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FAQs on GCF of Fractions of 2341/762, 9109/267
1. What is the HCF of 2341,9109?
The HCF of 2341,9109 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 2341/762, 9109/267?
Answer: GCF of Numerators as per given numbers 2341/762, 9109/267 is
GCF of Numerators i.e. for 2341,9109 is 1
LCM of denominators i.e. for 762,267 is 67818.
Thus, GCF of Fractions is 1/67818.Finally, GCF of Fractions for 2341/762, 9109/267 is 1/67818.