GCF of 2335/359, 6185/9867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2335/359, 6185/9867 i.e 5/3542253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2335/359, 6185/9867.
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 2335/359,6185/9867?
Given fractions are 2335/359,6185/9867
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 2335/359,6185/9867, numerators are 2335,6185
Denominators are 359,9867
The GCF of 2335,6185 is 5 .
LCM of 359,9867 is 3542253.
The greatest common factor of 2335/359,6185/9867 = [GCF of 2335,6185]/[LCM of 359,9867]= 5/3542253
Therefore, the GCF of 2335/359,6185/9867 is 5/3542253.
To find the highest common factor of 2335,6185, we have to find the factors of both numbers and list the highest common factor.
The factors of 2335 are 1, 5, 467, 2335
The factors of 6185 are 1, 5, 1237, 6185
The HCF of 2335,6185 is 5.
Lets's calculate GCF of 2335,6185
| 5 | 2335, 6185 |
| 467, 1237 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2335,6185 By Matching Biggest Common Factor Method
Now, list down the factors of 2335
:1,5,467,2335
Now, list down the factors of 6185
:1,5,1237,6185
Greatest Common Factor
We found the factors 2335,6185 . The biggest common factor number is the GCF number.
So the greatest common factor 2335,6185 is 5.
Lets's calculate LCM of 359,9867
Given numbers has no common factors except 1. So, there LCM is their product i.e 3542253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3542253
Therefore, the GCF of Fractions 2335/359,6185/9867 is 5/3542253
Least Common Multiple of 359,9867 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 359,9867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,9867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,9867) x common factors =1 x 1 = 1
LCM(359,9867) = ( 359 × 9867 ) / 1
LCM(359,9867) = 3542253 / 1
LCM(359,9867) = 3542253
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FAQs on GCF of Fractions of 2335/359, 6185/9867
1. What is the HCF of 2335,6185?
The HCF of 2335,6185 is 5
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 2335/359, 6185/9867?
Answer: GCF of Numerators as per given numbers 2335/359, 6185/9867 is
GCF of Numerators i.e. for 2335,6185 is 5
LCM of denominators i.e. for 359,9867 is 3542253.
Thus, GCF of Fractions is 5/3542253.Finally, GCF of Fractions for 2335/359, 6185/9867 is 5/3542253.