GCF of 7234/789, 1730/9689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7234/789, 1730/9689 i.e 2/7644621 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7234/789, 1730/9689.
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 7234/789,1730/9689?
Given fractions are 7234/789,1730/9689
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 7234/789,1730/9689, numerators are 7234,1730
Denominators are 789,9689
The GCF of 7234,1730 is 2 .
LCM of 789,9689 is 7644621.
The greatest common factor of 7234/789,1730/9689 = [GCF of 7234,1730]/[LCM of 789,9689]= 2/7644621
Therefore, the GCF of 7234/789,1730/9689 is 2/7644621.
To find the highest common factor of 7234,1730, we have to find the factors of both numbers and list the highest common factor.
The factors of 7234 are 1, 2, 3617, 7234
The factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730
The HCF of 7234,1730 is 2.
Lets's calculate GCF of 7234,1730
| 2 | 7234, 1730 |
| 3617, 865 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7234,1730 By Matching Biggest Common Factor Method
Now, list down the factors of 7234
:1,2,3617,7234
Now, list down the factors of 1730
:1,2,5,10,173,346,865,1730
Greatest Common Factor
We found the factors 7234,1730 . The biggest common factor number is the GCF number.
So the greatest common factor 7234,1730 is 2.
Lets's calculate LCM of 789,9689
Given numbers has no common factors except 1. So, there LCM is their product i.e 7644621
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7644621
Therefore, the GCF of Fractions 7234/789,1730/9689 is 2/7644621
Least Common Multiple of 789,9689 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 789,9689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,9689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,9689) x common factors =1 x 1 = 1
LCM(789,9689) = ( 789 × 9689 ) / 1
LCM(789,9689) = 7644621 / 1
LCM(789,9689) = 7644621
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7234/789, 1730/9689
1. What is the HCF of 7234,1730?
The HCF of 7234,1730 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 7234/789, 1730/9689?
Answer: GCF of Numerators as per given numbers 7234/789, 1730/9689 is
GCF of Numerators i.e. for 7234,1730 is 2
LCM of denominators i.e. for 789,9689 is 7644621.
Thus, GCF of Fractions is 2/7644621.Finally, GCF of Fractions for 7234/789, 1730/9689 is 2/7644621.