GCF of 7195/830, 5663/1546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7195/830, 5663/1546 i.e 1/641590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7195/830, 5663/1546.
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 7195/830,5663/1546?
Given fractions are 7195/830,5663/1546
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 7195/830,5663/1546, numerators are 7195,5663
Denominators are 830,1546
The GCF of 7195,5663 is 1 .
LCM of 830,1546 is 641590.
The greatest common factor of 7195/830,5663/1546 = [GCF of 7195,5663]/[LCM of 830,1546]= 1/641590
Therefore, the GCF of 7195/830,5663/1546 is 1/641590.
To find the highest common factor of 7195,5663, we have to find the factors of both numbers and list the highest common factor.
The factors of 7195 are 1, 5, 1439, 7195
The factors of 5663 are 1, 7, 809, 5663
The HCF of 7195,5663 is 1.
Lets's calculate GCF of 7195,5663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7195,5663 By Matching Biggest Common Factor Method
Now, list down the factors of 7195
:1,5,1439,7195
Now, list down the factors of 5663
:1,7,809,5663
Greatest Common Factor
We found the factors 7195,5663 . The biggest common factor number is the GCF number.
So the greatest common factor 7195,5663 is 1.
Lets's calculate LCM of 830,1546
| 2 | 830, 1546 |
| 415, 773 |
∴ So the LCM of the given numbers is 2 x 415 x 773 = 641590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641590
Therefore, the GCF of Fractions 7195/830,5663/1546 is 1/641590
Least Common Multiple of 830,1546 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 830,1546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,1546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(830,1546) x common factors =2 x 1 = 2
LCM(830,1546) = ( 830 × 1546 ) / 2
LCM(830,1546) = 1283180 / 2
LCM(830,1546) = 641590
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7195/830, 5663/1546
1. What is the HCF of 7195,5663?
The HCF of 7195,5663 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 7195/830, 5663/1546?
Answer: GCF of Numerators as per given numbers 7195/830, 5663/1546 is
GCF of Numerators i.e. for 7195,5663 is 1
LCM of denominators i.e. for 830,1546 is 641590.
Thus, GCF of Fractions is 1/641590.Finally, GCF of Fractions for 7195/830, 5663/1546 is 1/641590.