GCF of 604/866, 9866/985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 604/866, 9866/985 i.e 2/853010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 604/866, 9866/985.
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 604/866,9866/985?
Given fractions are 604/866,9866/985
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 604/866,9866/985, numerators are 604,9866
Denominators are 866,985
The GCF of 604,9866 is 2 .
LCM of 866,985 is 853010.
The greatest common factor of 604/866,9866/985 = [GCF of 604,9866]/[LCM of 866,985]= 2/853010
Therefore, the GCF of 604/866,9866/985 is 2/853010.
To find the highest common factor of 604,9866, we have to find the factors of both numbers and list the highest common factor.
The factors of 604 are 1, 2, 4, 151, 302, 604
The factors of 9866 are 1, 2, 4933, 9866
The HCF of 604,9866 is 2.
Lets's calculate GCF of 604,9866
| 2 | 604, 9866 |
| 302, 4933 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 604,9866 By Matching Biggest Common Factor Method
Now, list down the factors of 604
:1,2,4,151,302,604
Now, list down the factors of 9866
:1,2,4933,9866
Greatest Common Factor
We found the factors 604,9866 . The biggest common factor number is the GCF number.
So the greatest common factor 604,9866 is 2.
Lets's calculate LCM of 866,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 853010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/853010
Therefore, the GCF of Fractions 604/866,9866/985 is 2/853010
Least Common Multiple of 866,985 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 866,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,985) x common factors =1 x 1 = 1
LCM(866,985) = ( 866 × 985 ) / 1
LCM(866,985) = 853010 / 1
LCM(866,985) = 853010
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FAQs on GCF of Fractions of 604/866, 9866/985
1. What is the HCF of 604,9866?
The HCF of 604,9866 is 2
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 604/866, 9866/985?
Answer: GCF of Numerators as per given numbers 604/866, 9866/985 is
GCF of Numerators i.e. for 604,9866 is 2
LCM of denominators i.e. for 866,985 is 853010.
Thus, GCF of Fractions is 2/853010.Finally, GCF of Fractions for 604/866, 9866/985 is 2/853010.