GCF of 8805/919, 3807/5908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8805/919, 3807/5908 i.e 3/5429452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8805/919, 3807/5908.
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 8805/919,3807/5908?
Given fractions are 8805/919,3807/5908
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 8805/919,3807/5908, numerators are 8805,3807
Denominators are 919,5908
The GCF of 8805,3807 is 3 .
LCM of 919,5908 is 5429452.
The greatest common factor of 8805/919,3807/5908 = [GCF of 8805,3807]/[LCM of 919,5908]= 3/5429452
Therefore, the GCF of 8805/919,3807/5908 is 3/5429452.
To find the highest common factor of 8805,3807, we have to find the factors of both numbers and list the highest common factor.
The factors of 8805 are 1, 3, 5, 15, 587, 1761, 2935, 8805
The factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807
The HCF of 8805,3807 is 3.
Lets's calculate GCF of 8805,3807
| 3 | 8805, 3807 |
| 2935, 1269 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8805,3807 By Matching Biggest Common Factor Method
Now, list down the factors of 8805
:1,3,5,15,587,1761,2935,8805
Now, list down the factors of 3807
:1,3,9,27,47,81,141,423,1269,3807
Greatest Common Factor
We found the factors 8805,3807 . The biggest common factor number is the GCF number.
So the greatest common factor 8805,3807 is 3.
Lets's calculate LCM of 919,5908
Given numbers has no common factors except 1. So, there LCM is their product i.e 5429452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5429452
Therefore, the GCF of Fractions 8805/919,3807/5908 is 3/5429452
Least Common Multiple of 919,5908 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 919,5908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,5908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,5908) x common factors =1 x 1 = 1
LCM(919,5908) = ( 919 × 5908 ) / 1
LCM(919,5908) = 5429452 / 1
LCM(919,5908) = 5429452
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FAQs on GCF of Fractions of 8805/919, 3807/5908
1. What is the HCF of 8805,3807?
The HCF of 8805,3807 is 3
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 8805/919, 3807/5908?
Answer: GCF of Numerators as per given numbers 8805/919, 3807/5908 is
GCF of Numerators i.e. for 8805,3807 is 3
LCM of denominators i.e. for 919,5908 is 5429452.
Thus, GCF of Fractions is 3/5429452.Finally, GCF of Fractions for 8805/919, 3807/5908 is 3/5429452.