GCF of 8404/300, 9785/3662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8404/300, 9785/3662 i.e 1/549300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8404/300, 9785/3662.
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 8404/300,9785/3662?
Given fractions are 8404/300,9785/3662
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 8404/300,9785/3662, numerators are 8404,9785
Denominators are 300,3662
The GCF of 8404,9785 is 1 .
LCM of 300,3662 is 549300.
The greatest common factor of 8404/300,9785/3662 = [GCF of 8404,9785]/[LCM of 300,3662]= 1/549300
Therefore, the GCF of 8404/300,9785/3662 is 1/549300.
To find the highest common factor of 8404,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 8404,9785 is 1.
Lets's calculate GCF of 8404,9785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8404,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 8404
:1,2,4,11,22,44,191,382,764,2101,4202,8404
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 8404,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 8404,9785 is 1.
Lets's calculate LCM of 300,3662
| 2 | 300, 3662 |
| 150, 1831 |
∴ So the LCM of the given numbers is 2 x 150 x 1831 = 549300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549300
Therefore, the GCF of Fractions 8404/300,9785/3662 is 1/549300
Least Common Multiple of 300,3662 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 300,3662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,3662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(300,3662) x common factors =2 x 1 = 2
LCM(300,3662) = ( 300 × 3662 ) / 2
LCM(300,3662) = 1098600 / 2
LCM(300,3662) = 549300
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FAQs on GCF of Fractions of 8404/300, 9785/3662
1. What is the HCF of 8404,9785?
The HCF of 8404,9785 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 8404/300, 9785/3662?
Answer: GCF of Numerators as per given numbers 8404/300, 9785/3662 is
GCF of Numerators i.e. for 8404,9785 is 1
LCM of denominators i.e. for 300,3662 is 549300.
Thus, GCF of Fractions is 1/549300.Finally, GCF of Fractions for 8404/300, 9785/3662 is 1/549300.