GCF of 1635/297, 7064/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1635/297, 7064/144 i.e 1/4752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1635/297, 7064/144.
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 1635/297,7064/144?
Given fractions are 1635/297,7064/144
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 1635/297,7064/144, numerators are 1635,7064
Denominators are 297,144
The GCF of 1635,7064 is 1 .
LCM of 297,144 is 4752.
The greatest common factor of 1635/297,7064/144 = [GCF of 1635,7064]/[LCM of 297,144]= 1/4752
Therefore, the GCF of 1635/297,7064/144 is 1/4752.
To find the highest common factor of 1635,7064, we have to find the factors of both numbers and list the highest common factor.
The factors of 1635 are 1, 3, 5, 15, 109, 327, 545, 1635
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The HCF of 1635,7064 is 1.
Lets's calculate GCF of 1635,7064
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1635,7064 By Matching Biggest Common Factor Method
Now, list down the factors of 1635
:1,3,5,15,109,327,545,1635
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Greatest Common Factor
We found the factors 1635,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 1635,7064 is 1.
Lets's calculate LCM of 297,144
| 3 | 297, 144 |
| 3 | 99, 48 |
| 33, 16 |
∴ So the LCM of the given numbers is 3 x 3 x 33 x 16 = 4752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4752
Therefore, the GCF of Fractions 1635/297,7064/144 is 1/4752
Least Common Multiple of 297,144 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 297,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,144) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(297,144) x common factors =9 x 1 = 9
LCM(297,144) = ( 297 × 144 ) / 9
LCM(297,144) = 42768 / 9
LCM(297,144) = 4752
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FAQs on GCF of Fractions of 1635/297, 7064/144
1. What is the HCF of 1635,7064?
The HCF of 1635,7064 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 1635/297, 7064/144?
Answer: GCF of Numerators as per given numbers 1635/297, 7064/144 is
GCF of Numerators i.e. for 1635,7064 is 1
LCM of denominators i.e. for 297,144 is 4752.
Thus, GCF of Fractions is 1/4752.Finally, GCF of Fractions for 1635/297, 7064/144 is 1/4752.