GCF of 882/767, 405/403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 882/767, 405/403 i.e 9/23777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 882/767, 405/403.
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 882/767,405/403?
Given fractions are 882/767,405/403
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 882/767,405/403, numerators are 882,405
Denominators are 767,403
The GCF of 882,405 is 9 .
LCM of 767,403 is 23777.
The greatest common factor of 882/767,405/403 = [GCF of 882,405]/[LCM of 767,403]= 9/23777
Therefore, the GCF of 882/767,405/403 is 9/23777.
To find the highest common factor of 882,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 882,405 is 9.
Lets's calculate GCF of 882,405
| 3 | 882, 405 |
| 3 | 294, 135 |
| 98, 45 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 882,405 By Matching Biggest Common Factor Method
Now, list down the factors of 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 882,405 . The biggest common factor number is the GCF number.
So the greatest common factor 882,405 is 9.
Lets's calculate LCM of 767,403
| 13 | 767, 403 |
| 59, 31 |
∴ So the LCM of the given numbers is 13 x 59 x 31 = 23777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/23777
Therefore, the GCF of Fractions 882/767,405/403 is 9/23777
Least Common Multiple of 767,403 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 767,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,403) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(767,403) x common factors =13 x 1 = 13
LCM(767,403) = ( 767 × 403 ) / 13
LCM(767,403) = 309101 / 13
LCM(767,403) = 23777
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FAQs on GCF of Fractions of 882/767, 405/403
1. What is the HCF of 882,405?
The HCF of 882,405 is 9
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 882/767, 405/403?
Answer: GCF of Numerators as per given numbers 882/767, 405/403 is
GCF of Numerators i.e. for 882,405 is 9
LCM of denominators i.e. for 767,403 is 23777.
Thus, GCF of Fractions is 9/23777.Finally, GCF of Fractions for 882/767, 405/403 is 9/23777.