GCF of 3096/470, 5417/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3096/470, 5417/476 i.e 1/111860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3096/470, 5417/476.
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 3096/470,5417/476?
Given fractions are 3096/470,5417/476
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 3096/470,5417/476, numerators are 3096,5417
Denominators are 470,476
The GCF of 3096,5417 is 1 .
LCM of 470,476 is 111860.
The greatest common factor of 3096/470,5417/476 = [GCF of 3096,5417]/[LCM of 470,476]= 1/111860
Therefore, the GCF of 3096/470,5417/476 is 1/111860.
To find the highest common factor of 3096,5417, we have to find the factors of both numbers and list the highest common factor.
The factors of 3096 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096
The factors of 5417 are 1, 5417
The HCF of 3096,5417 is 1.
Lets's calculate GCF of 3096,5417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3096,5417 By Matching Biggest Common Factor Method
Now, list down the factors of 3096
:1,2,3,4,6,8,9,12,18,24,36,43,72,86,129,172,258,344,387,516,774,1032,1548,3096
Now, list down the factors of 5417
:1,5417
Greatest Common Factor
We found the factors 3096,5417 . The biggest common factor number is the GCF number.
So the greatest common factor 3096,5417 is 1.
Lets's calculate LCM of 470,476
| 2 | 470, 476 |
| 235, 238 |
∴ So the LCM of the given numbers is 2 x 235 x 238 = 111860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111860
Therefore, the GCF of Fractions 3096/470,5417/476 is 1/111860
Least Common Multiple of 470,476 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 470,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,476) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,476) x common factors =2 x 1 = 2
LCM(470,476) = ( 470 × 476 ) / 2
LCM(470,476) = 223720 / 2
LCM(470,476) = 111860
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FAQs on GCF of Fractions of 3096/470, 5417/476
1. What is the HCF of 3096,5417?
The HCF of 3096,5417 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 3096/470, 5417/476?
Answer: GCF of Numerators as per given numbers 3096/470, 5417/476 is
GCF of Numerators i.e. for 3096,5417 is 1
LCM of denominators i.e. for 470,476 is 111860.
Thus, GCF of Fractions is 1/111860.Finally, GCF of Fractions for 3096/470, 5417/476 is 1/111860.