GCF of 9304/213, 2705/5787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9304/213, 2705/5787 i.e 1/410877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9304/213, 2705/5787.
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 9304/213,2705/5787?
Given fractions are 9304/213,2705/5787
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 9304/213,2705/5787, numerators are 9304,2705
Denominators are 213,5787
The GCF of 9304,2705 is 1 .
LCM of 213,5787 is 410877.
The greatest common factor of 9304/213,2705/5787 = [GCF of 9304,2705]/[LCM of 213,5787]= 1/410877
Therefore, the GCF of 9304/213,2705/5787 is 1/410877.
To find the highest common factor of 9304,2705, we have to find the factors of both numbers and list the highest common factor.
The factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304
The factors of 2705 are 1, 5, 541, 2705
The HCF of 9304,2705 is 1.
Lets's calculate GCF of 9304,2705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9304,2705 By Matching Biggest Common Factor Method
Now, list down the factors of 9304
:1,2,4,8,1163,2326,4652,9304
Now, list down the factors of 2705
:1,5,541,2705
Greatest Common Factor
We found the factors 9304,2705 . The biggest common factor number is the GCF number.
So the greatest common factor 9304,2705 is 1.
Lets's calculate LCM of 213,5787
| 3 | 213, 5787 |
| 71, 1929 |
∴ So the LCM of the given numbers is 3 x 71 x 1929 = 410877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410877
Therefore, the GCF of Fractions 9304/213,2705/5787 is 1/410877
Least Common Multiple of 213,5787 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 213,5787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,5787) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,5787) x common factors =3 x 1 = 3
LCM(213,5787) = ( 213 × 5787 ) / 3
LCM(213,5787) = 1232631 / 3
LCM(213,5787) = 410877
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FAQs on GCF of Fractions of 9304/213, 2705/5787
1. What is the HCF of 9304,2705?
The HCF of 9304,2705 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 9304/213, 2705/5787?
Answer: GCF of Numerators as per given numbers 9304/213, 2705/5787 is
GCF of Numerators i.e. for 9304,2705 is 1
LCM of denominators i.e. for 213,5787 is 410877.
Thus, GCF of Fractions is 1/410877.Finally, GCF of Fractions for 9304/213, 2705/5787 is 1/410877.