GCF of 6266/185, 8437/4960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6266/185, 8437/4960 i.e 13/183520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6266/185, 8437/4960.
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 6266/185,8437/4960?
Given fractions are 6266/185,8437/4960
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 6266/185,8437/4960, numerators are 6266,8437
Denominators are 185,4960
The GCF of 6266,8437 is 13 .
LCM of 185,4960 is 183520.
The greatest common factor of 6266/185,8437/4960 = [GCF of 6266,8437]/[LCM of 185,4960]= 13/183520
Therefore, the GCF of 6266/185,8437/4960 is 13/183520.
To find the highest common factor of 6266,8437, we have to find the factors of both numbers and list the highest common factor.
The factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266
The factors of 8437 are 1, 11, 13, 59, 143, 649, 767, 8437
The HCF of 6266,8437 is 13.
Lets's calculate GCF of 6266,8437
| 13 | 6266, 8437 |
| 482, 649 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6266,8437 By Matching Biggest Common Factor Method
Now, list down the factors of 6266
:1,2,13,26,241,482,3133,6266
Now, list down the factors of 8437
:1,11,13,59,143,649,767,8437
Greatest Common Factor
We found the factors 6266,8437 . The biggest common factor number is the GCF number.
So the greatest common factor 6266,8437 is 13.
Lets's calculate LCM of 185,4960
| 5 | 185, 4960 |
| 37, 992 |
∴ So the LCM of the given numbers is 5 x 37 x 992 = 183520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/183520
Therefore, the GCF of Fractions 6266/185,8437/4960 is 13/183520
Least Common Multiple of 185,4960 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 185,4960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,4960) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,4960) x common factors =5 x 1 = 5
LCM(185,4960) = ( 185 × 4960 ) / 5
LCM(185,4960) = 917600 / 5
LCM(185,4960) = 183520
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FAQs on GCF of Fractions of 6266/185, 8437/4960
1. What is the HCF of 6266,8437?
The HCF of 6266,8437 is 13
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 6266/185, 8437/4960?
Answer: GCF of Numerators as per given numbers 6266/185, 8437/4960 is
GCF of Numerators i.e. for 6266,8437 is 13
LCM of denominators i.e. for 185,4960 is 183520.
Thus, GCF of Fractions is 13/183520.Finally, GCF of Fractions for 6266/185, 8437/4960 is 13/183520.