GCF of 9196/549, 5230/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9196/549, 5230/544 i.e 2/298656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9196/549, 5230/544.
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 9196/549,5230/544?
Given fractions are 9196/549,5230/544
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 9196/549,5230/544, numerators are 9196,5230
Denominators are 549,544
The GCF of 9196,5230 is 2 .
LCM of 549,544 is 298656.
The greatest common factor of 9196/549,5230/544 = [GCF of 9196,5230]/[LCM of 549,544]= 2/298656
Therefore, the GCF of 9196/549,5230/544 is 2/298656.
To find the highest common factor of 9196,5230, we have to find the factors of both numbers and list the highest common factor.
The factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196
The factors of 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230
The HCF of 9196,5230 is 2.
Lets's calculate GCF of 9196,5230
| 2 | 9196, 5230 |
| 4598, 2615 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9196,5230 By Matching Biggest Common Factor Method
Now, list down the factors of 9196
:1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196
Now, list down the factors of 5230
:1,2,5,10,523,1046,2615,5230
Greatest Common Factor
We found the factors 9196,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 9196,5230 is 2.
Lets's calculate LCM of 549,544
Given numbers has no common factors except 1. So, there LCM is their product i.e 298656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/298656
Therefore, the GCF of Fractions 9196/549,5230/544 is 2/298656
Least Common Multiple of 549,544 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 549,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,544) x common factors =1 x 1 = 1
LCM(549,544) = ( 549 × 544 ) / 1
LCM(549,544) = 298656 / 1
LCM(549,544) = 298656
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FAQs on GCF of Fractions of 9196/549, 5230/544
1. What is the HCF of 9196,5230?
The HCF of 9196,5230 is 2
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 9196/549, 5230/544?
Answer: GCF of Numerators as per given numbers 9196/549, 5230/544 is
GCF of Numerators i.e. for 9196,5230 is 2
LCM of denominators i.e. for 549,544 is 298656.
Thus, GCF of Fractions is 2/298656.Finally, GCF of Fractions for 9196/549, 5230/544 is 2/298656.