GCF of 4297/186, 6660/5475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4297/186, 6660/5475 i.e 1/339450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4297/186, 6660/5475.
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 4297/186,6660/5475?
Given fractions are 4297/186,6660/5475
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 4297/186,6660/5475, numerators are 4297,6660
Denominators are 186,5475
The GCF of 4297,6660 is 1 .
LCM of 186,5475 is 339450.
The greatest common factor of 4297/186,6660/5475 = [GCF of 4297,6660]/[LCM of 186,5475]= 1/339450
Therefore, the GCF of 4297/186,6660/5475 is 1/339450.
To find the highest common factor of 4297,6660, we have to find the factors of both numbers and list the highest common factor.
The factors of 4297 are 1, 4297
The factors of 6660 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660
The HCF of 4297,6660 is 1.
Lets's calculate GCF of 4297,6660
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4297,6660 By Matching Biggest Common Factor Method
Now, list down the factors of 4297
:1,4297
Now, list down the factors of 6660
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660
Greatest Common Factor
We found the factors 4297,6660 . The biggest common factor number is the GCF number.
So the greatest common factor 4297,6660 is 1.
Lets's calculate LCM of 186,5475
| 3 | 186, 5475 |
| 62, 1825 |
∴ So the LCM of the given numbers is 3 x 62 x 1825 = 339450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339450
Therefore, the GCF of Fractions 4297/186,6660/5475 is 1/339450
Least Common Multiple of 186,5475 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 186,5475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,5475) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(186,5475) x common factors =3 x 1 = 3
LCM(186,5475) = ( 186 × 5475 ) / 3
LCM(186,5475) = 1018350 / 3
LCM(186,5475) = 339450
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FAQs on GCF of Fractions of 4297/186, 6660/5475
1. What is the HCF of 4297,6660?
The HCF of 4297,6660 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 4297/186, 6660/5475?
Answer: GCF of Numerators as per given numbers 4297/186, 6660/5475 is
GCF of Numerators i.e. for 4297,6660 is 1
LCM of denominators i.e. for 186,5475 is 339450.
Thus, GCF of Fractions is 1/339450.Finally, GCF of Fractions for 4297/186, 6660/5475 is 1/339450.