GCF of 9253/312, 6399/7434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9253/312, 6399/7434 i.e 1/386568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9253/312, 6399/7434.
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 9253/312,6399/7434?
Given fractions are 9253/312,6399/7434
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 9253/312,6399/7434, numerators are 9253,6399
Denominators are 312,7434
The GCF of 9253,6399 is 1 .
LCM of 312,7434 is 386568.
The greatest common factor of 9253/312,6399/7434 = [GCF of 9253,6399]/[LCM of 312,7434]= 1/386568
Therefore, the GCF of 9253/312,6399/7434 is 1/386568.
To find the highest common factor of 9253,6399, we have to find the factors of both numbers and list the highest common factor.
The factors of 9253 are 1, 19, 487, 9253
The factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399
The HCF of 9253,6399 is 1.
Lets's calculate GCF of 9253,6399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9253,6399 By Matching Biggest Common Factor Method
Now, list down the factors of 9253
:1,19,487,9253
Now, list down the factors of 6399
:1,3,9,27,79,81,237,711,2133,6399
Greatest Common Factor
We found the factors 9253,6399 . The biggest common factor number is the GCF number.
So the greatest common factor 9253,6399 is 1.
Lets's calculate LCM of 312,7434
| 2 | 312, 7434 |
| 3 | 156, 3717 |
| 52, 1239 |
∴ So the LCM of the given numbers is 2 x 3 x 52 x 1239 = 386568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386568
Therefore, the GCF of Fractions 9253/312,6399/7434 is 1/386568
Least Common Multiple of 312,7434 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 312,7434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,7434) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(312,7434) x common factors =6 x 1 = 6
LCM(312,7434) = ( 312 × 7434 ) / 6
LCM(312,7434) = 2319408 / 6
LCM(312,7434) = 386568
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FAQs on GCF of Fractions of 9253/312, 6399/7434
1. What is the HCF of 9253,6399?
The HCF of 9253,6399 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 9253/312, 6399/7434?
Answer: GCF of Numerators as per given numbers 9253/312, 6399/7434 is
GCF of Numerators i.e. for 9253,6399 is 1
LCM of denominators i.e. for 312,7434 is 386568.
Thus, GCF of Fractions is 1/386568.Finally, GCF of Fractions for 9253/312, 6399/7434 is 1/386568.