GCF of 385/409, 595/921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 385/409, 595/921 i.e 35/376689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/409, 595/921.
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 385/409,595/921?
Given fractions are 385/409,595/921
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 385/409,595/921, numerators are 385,595
Denominators are 409,921
The GCF of 385,595 is 35 .
LCM of 409,921 is 376689.
The greatest common factor of 385/409,595/921 = [GCF of 385,595]/[LCM of 409,921]= 35/376689
Therefore, the GCF of 385/409,595/921 is 35/376689.
To find the highest common factor of 385,595, we have to find the factors of both numbers and list the highest common factor.
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The HCF of 385,595 is 35.
Lets's calculate GCF of 385,595
| 5 | 385, 595 |
| 7 | 77, 119 |
| 11, 17 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 385,595 By Matching Biggest Common Factor Method
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 385,595 . The biggest common factor number is the GCF number.
So the greatest common factor 385,595 is 35.
Lets's calculate LCM of 409,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 376689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/376689
Therefore, the GCF of Fractions 385/409,595/921 is 35/376689
Least Common Multiple of 409,921 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 409,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,921) x common factors =1 x 1 = 1
LCM(409,921) = ( 409 × 921 ) / 1
LCM(409,921) = 376689 / 1
LCM(409,921) = 376689
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 385/409, 595/921
1. What is the HCF of 385,595?
The HCF of 385,595 is 35
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 385/409, 595/921?
Answer: GCF of Numerators as per given numbers 385/409, 595/921 is
GCF of Numerators i.e. for 385,595 is 35
LCM of denominators i.e. for 409,921 is 376689.
Thus, GCF of Fractions is 35/376689.Finally, GCF of Fractions for 385/409, 595/921 is 35/376689.