GCF of 9204/886, 4253/710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9204/886, 4253/710 i.e 1/314530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9204/886, 4253/710.
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 9204/886,4253/710?
Given fractions are 9204/886,4253/710
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 9204/886,4253/710, numerators are 9204,4253
Denominators are 886,710
The GCF of 9204,4253 is 1 .
LCM of 886,710 is 314530.
The greatest common factor of 9204/886,4253/710 = [GCF of 9204,4253]/[LCM of 886,710]= 1/314530
Therefore, the GCF of 9204/886,4253/710 is 1/314530.
To find the highest common factor of 9204,4253, we have to find the factors of both numbers and list the highest common factor.
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The factors of 4253 are 1, 4253
The HCF of 9204,4253 is 1.
Lets's calculate GCF of 9204,4253
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9204,4253 By Matching Biggest Common Factor Method
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Now, list down the factors of 4253
:1,4253
Greatest Common Factor
We found the factors 9204,4253 . The biggest common factor number is the GCF number.
So the greatest common factor 9204,4253 is 1.
Lets's calculate LCM of 886,710
| 2 | 886, 710 |
| 443, 355 |
∴ So the LCM of the given numbers is 2 x 443 x 355 = 314530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/314530
Therefore, the GCF of Fractions 9204/886,4253/710 is 1/314530
Least Common Multiple of 886,710 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 886,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,710) x common factors =2 x 1 = 2
LCM(886,710) = ( 886 × 710 ) / 2
LCM(886,710) = 629060 / 2
LCM(886,710) = 314530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9204/886, 4253/710
1. What is the HCF of 9204,4253?
The HCF of 9204,4253 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 9204/886, 4253/710?
Answer: GCF of Numerators as per given numbers 9204/886, 4253/710 is
GCF of Numerators i.e. for 9204,4253 is 1
LCM of denominators i.e. for 886,710 is 314530.
Thus, GCF of Fractions is 1/314530.Finally, GCF of Fractions for 9204/886, 4253/710 is 1/314530.