GCF of 705/9481, 740/8483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 705/9481, 740/8483 i.e 5/161177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/9481, 740/8483.
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 705/9481,740/8483?
Given fractions are 705/9481,740/8483
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 705/9481,740/8483, numerators are 705,740
Denominators are 9481,8483
The GCF of 705,740 is 5 .
LCM of 9481,8483 is 161177.
The greatest common factor of 705/9481,740/8483 = [GCF of 705,740]/[LCM of 9481,8483]= 5/161177
Therefore, the GCF of 705/9481,740/8483 is 5/161177.
To find the highest common factor of 705,740, we have to find the factors of both numbers and list the highest common factor.
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 705,740 is 5.
Lets's calculate GCF of 705,740
| 5 | 705, 740 |
| 141, 148 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 705,740 By Matching Biggest Common Factor Method
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 705,740 . The biggest common factor number is the GCF number.
So the greatest common factor 705,740 is 5.
Lets's calculate LCM of 9481,8483
| 499 | 9481, 8483 |
| 19, 17 |
∴ So the LCM of the given numbers is 499 x 19 x 17 = 161177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/161177
Therefore, the GCF of Fractions 705/9481,740/8483 is 5/161177
Least Common Multiple of 9481,8483 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 9481,8483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9481,8483) = 499
common factors(in case of two or more numbers have common factors) = 1
GCF(9481,8483) x common factors =499 x 1 = 499
LCM(9481,8483) = ( 9481 × 8483 ) / 499
LCM(9481,8483) = 80427323 / 499
LCM(9481,8483) = 161177
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FAQs on GCF of Fractions of 705/9481, 740/8483
1. What is the HCF of 705,740?
The HCF of 705,740 is 5
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 705/9481, 740/8483?
Answer: GCF of Numerators as per given numbers 705/9481, 740/8483 is
GCF of Numerators i.e. for 705,740 is 5
LCM of denominators i.e. for 9481,8483 is 161177.
Thus, GCF of Fractions is 5/161177.Finally, GCF of Fractions for 705/9481, 740/8483 is 5/161177.