GCF of 6282/563, 1998/7646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6282/563, 1998/7646 i.e 18/4304698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6282/563, 1998/7646.
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 6282/563,1998/7646?
Given fractions are 6282/563,1998/7646
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 6282/563,1998/7646, numerators are 6282,1998
Denominators are 563,7646
The GCF of 6282,1998 is 18 .
LCM of 563,7646 is 4304698.
The greatest common factor of 6282/563,1998/7646 = [GCF of 6282,1998]/[LCM of 563,7646]= 18/4304698
Therefore, the GCF of 6282/563,1998/7646 is 18/4304698.
To find the highest common factor of 6282,1998, we have to find the factors of both numbers and list the highest common factor.
The factors of 6282 are 1, 2, 3, 6, 9, 18, 349, 698, 1047, 2094, 3141, 6282
The factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998
The HCF of 6282,1998 is 18.
Lets's calculate GCF of 6282,1998
| 2 | 6282, 1998 |
| 3 | 3141, 999 |
| 3 | 1047, 333 |
| 349, 111 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 6282,1998 By Matching Biggest Common Factor Method
Now, list down the factors of 6282
:1,2,3,6,9,18,349,698,1047,2094,3141,6282
Now, list down the factors of 1998
:1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998
Greatest Common Factor
We found the factors 6282,1998 . The biggest common factor number is the GCF number.
So the greatest common factor 6282,1998 is 18.
Lets's calculate LCM of 563,7646
Given numbers has no common factors except 1. So, there LCM is their product i.e 4304698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/4304698
Therefore, the GCF of Fractions 6282/563,1998/7646 is 18/4304698
Least Common Multiple of 563,7646 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 563,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,7646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,7646) x common factors =1 x 1 = 1
LCM(563,7646) = ( 563 × 7646 ) / 1
LCM(563,7646) = 4304698 / 1
LCM(563,7646) = 4304698
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FAQs on GCF of Fractions of 6282/563, 1998/7646
1. What is the HCF of 6282,1998?
The HCF of 6282,1998 is 18
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 6282/563, 1998/7646?
Answer: GCF of Numerators as per given numbers 6282/563, 1998/7646 is
GCF of Numerators i.e. for 6282,1998 is 18
LCM of denominators i.e. for 563,7646 is 4304698.
Thus, GCF of Fractions is 18/4304698.Finally, GCF of Fractions for 6282/563, 1998/7646 is 18/4304698.