GCF of 4605/969, 7233/2657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4605/969, 7233/2657 i.e 3/2574633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4605/969, 7233/2657.
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 4605/969,7233/2657?
Given fractions are 4605/969,7233/2657
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 4605/969,7233/2657, numerators are 4605,7233
Denominators are 969,2657
The GCF of 4605,7233 is 3 .
LCM of 969,2657 is 2574633.
The greatest common factor of 4605/969,7233/2657 = [GCF of 4605,7233]/[LCM of 969,2657]= 3/2574633
Therefore, the GCF of 4605/969,7233/2657 is 3/2574633.
To find the highest common factor of 4605,7233, we have to find the factors of both numbers and list the highest common factor.
The factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605
The factors of 7233 are 1, 3, 2411, 7233
The HCF of 4605,7233 is 3.
Lets's calculate GCF of 4605,7233
| 3 | 4605, 7233 |
| 1535, 2411 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4605,7233 By Matching Biggest Common Factor Method
Now, list down the factors of 4605
:1,3,5,15,307,921,1535,4605
Now, list down the factors of 7233
:1,3,2411,7233
Greatest Common Factor
We found the factors 4605,7233 . The biggest common factor number is the GCF number.
So the greatest common factor 4605,7233 is 3.
Lets's calculate LCM of 969,2657
Given numbers has no common factors except 1. So, there LCM is their product i.e 2574633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2574633
Therefore, the GCF of Fractions 4605/969,7233/2657 is 3/2574633
Least Common Multiple of 969,2657 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 969,2657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,2657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,2657) x common factors =1 x 1 = 1
LCM(969,2657) = ( 969 × 2657 ) / 1
LCM(969,2657) = 2574633 / 1
LCM(969,2657) = 2574633
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FAQs on GCF of Fractions of 4605/969, 7233/2657
1. What is the HCF of 4605,7233?
The HCF of 4605,7233 is 3
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 4605/969, 7233/2657?
Answer: GCF of Numerators as per given numbers 4605/969, 7233/2657 is
GCF of Numerators i.e. for 4605,7233 is 3
LCM of denominators i.e. for 969,2657 is 2574633.
Thus, GCF of Fractions is 3/2574633.Finally, GCF of Fractions for 4605/969, 7233/2657 is 3/2574633.