GCF of 3494/613, 9578/7897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3494/613, 9578/7897 i.e 2/4840861 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3494/613, 9578/7897.
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 3494/613,9578/7897?
Given fractions are 3494/613,9578/7897
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 3494/613,9578/7897, numerators are 3494,9578
Denominators are 613,7897
The GCF of 3494,9578 is 2 .
LCM of 613,7897 is 4840861.
The greatest common factor of 3494/613,9578/7897 = [GCF of 3494,9578]/[LCM of 613,7897]= 2/4840861
Therefore, the GCF of 3494/613,9578/7897 is 2/4840861.
To find the highest common factor of 3494,9578, we have to find the factors of both numbers and list the highest common factor.
The factors of 3494 are 1, 2, 1747, 3494
The factors of 9578 are 1, 2, 4789, 9578
The HCF of 3494,9578 is 2.
Lets's calculate GCF of 3494,9578
| 2 | 3494, 9578 |
| 1747, 4789 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3494,9578 By Matching Biggest Common Factor Method
Now, list down the factors of 3494
:1,2,1747,3494
Now, list down the factors of 9578
:1,2,4789,9578
Greatest Common Factor
We found the factors 3494,9578 . The biggest common factor number is the GCF number.
So the greatest common factor 3494,9578 is 2.
Lets's calculate LCM of 613,7897
Given numbers has no common factors except 1. So, there LCM is their product i.e 4840861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4840861
Therefore, the GCF of Fractions 3494/613,9578/7897 is 2/4840861
Least Common Multiple of 613,7897 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 613,7897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,7897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,7897) x common factors =1 x 1 = 1
LCM(613,7897) = ( 613 × 7897 ) / 1
LCM(613,7897) = 4840861 / 1
LCM(613,7897) = 4840861
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3494/613, 9578/7897
1. What is the HCF of 3494,9578?
The HCF of 3494,9578 is 2
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 3494/613, 9578/7897?
Answer: GCF of Numerators as per given numbers 3494/613, 9578/7897 is
GCF of Numerators i.e. for 3494,9578 is 2
LCM of denominators i.e. for 613,7897 is 4840861.
Thus, GCF of Fractions is 2/4840861.Finally, GCF of Fractions for 3494/613, 9578/7897 is 2/4840861.