GCF of 8714/312, 9213/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8714/312, 9213/592 i.e 1/23088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8714/312, 9213/592.
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 8714/312,9213/592?
Given fractions are 8714/312,9213/592
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 8714/312,9213/592, numerators are 8714,9213
Denominators are 312,592
The GCF of 8714,9213 is 1 .
LCM of 312,592 is 23088.
The greatest common factor of 8714/312,9213/592 = [GCF of 8714,9213]/[LCM of 312,592]= 1/23088
Therefore, the GCF of 8714/312,9213/592 is 1/23088.
To find the highest common factor of 8714,9213, we have to find the factors of both numbers and list the highest common factor.
The factors of 8714 are 1, 2, 4357, 8714
The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213
The HCF of 8714,9213 is 1.
Lets's calculate GCF of 8714,9213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8714,9213 By Matching Biggest Common Factor Method
Now, list down the factors of 8714
:1,2,4357,8714
Now, list down the factors of 9213
:1,3,37,83,111,249,3071,9213
Greatest Common Factor
We found the factors 8714,9213 . The biggest common factor number is the GCF number.
So the greatest common factor 8714,9213 is 1.
Lets's calculate LCM of 312,592
| 2 | 312, 592 |
| 2 | 156, 296 |
| 2 | 78, 148 |
| 39, 74 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 74 = 23088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23088
Therefore, the GCF of Fractions 8714/312,9213/592 is 1/23088
Least Common Multiple of 312,592 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 312,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,592) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(312,592) x common factors =8 x 1 = 8
LCM(312,592) = ( 312 × 592 ) / 8
LCM(312,592) = 184704 / 8
LCM(312,592) = 23088
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FAQs on GCF of Fractions of 8714/312, 9213/592
1. What is the HCF of 8714,9213?
The HCF of 8714,9213 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 8714/312, 9213/592?
Answer: GCF of Numerators as per given numbers 8714/312, 9213/592 is
GCF of Numerators i.e. for 8714,9213 is 1
LCM of denominators i.e. for 312,592 is 23088.
Thus, GCF of Fractions is 1/23088.Finally, GCF of Fractions for 8714/312, 9213/592 is 1/23088.