GCF of 5969/818, 2685/4800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5969/818, 2685/4800 i.e 1/1963200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5969/818, 2685/4800.
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 5969/818,2685/4800?
Given fractions are 5969/818,2685/4800
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 5969/818,2685/4800, numerators are 5969,2685
Denominators are 818,4800
The GCF of 5969,2685 is 1 .
LCM of 818,4800 is 1963200.
The greatest common factor of 5969/818,2685/4800 = [GCF of 5969,2685]/[LCM of 818,4800]= 1/1963200
Therefore, the GCF of 5969/818,2685/4800 is 1/1963200.
To find the highest common factor of 5969,2685, we have to find the factors of both numbers and list the highest common factor.
The factors of 5969 are 1, 47, 127, 5969
The factors of 2685 are 1, 3, 5, 15, 179, 537, 895, 2685
The HCF of 5969,2685 is 1.
Lets's calculate GCF of 5969,2685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5969,2685 By Matching Biggest Common Factor Method
Now, list down the factors of 5969
:1,47,127,5969
Now, list down the factors of 2685
:1,3,5,15,179,537,895,2685
Greatest Common Factor
We found the factors 5969,2685 . The biggest common factor number is the GCF number.
So the greatest common factor 5969,2685 is 1.
Lets's calculate LCM of 818,4800
| 2 | 818, 4800 |
| 409, 2400 |
∴ So the LCM of the given numbers is 2 x 409 x 2400 = 1963200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1963200
Therefore, the GCF of Fractions 5969/818,2685/4800 is 1/1963200
Least Common Multiple of 818,4800 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 818,4800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,4800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,4800) x common factors =2 x 1 = 2
LCM(818,4800) = ( 818 × 4800 ) / 2
LCM(818,4800) = 3926400 / 2
LCM(818,4800) = 1963200
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FAQs on GCF of Fractions of 5969/818, 2685/4800
1. What is the HCF of 5969,2685?
The HCF of 5969,2685 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 5969/818, 2685/4800?
Answer: GCF of Numerators as per given numbers 5969/818, 2685/4800 is
GCF of Numerators i.e. for 5969,2685 is 1
LCM of denominators i.e. for 818,4800 is 1963200.
Thus, GCF of Fractions is 1/1963200.Finally, GCF of Fractions for 5969/818, 2685/4800 is 1/1963200.