GCF of 628/18, 227/7588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 628/18, 227/7588 i.e 1/68292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/18, 227/7588.
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 628/18,227/7588?
Given fractions are 628/18,227/7588
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 628/18,227/7588, numerators are 628,227
Denominators are 18,7588
The GCF of 628,227 is 1 .
LCM of 18,7588 is 68292.
The greatest common factor of 628/18,227/7588 = [GCF of 628,227]/[LCM of 18,7588]= 1/68292
Therefore, the GCF of 628/18,227/7588 is 1/68292.
To find the highest common factor of 628,227, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 227 are 1, 227
The HCF of 628,227 is 1.
Lets's calculate GCF of 628,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 628,227 By Matching Biggest Common Factor Method
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 227
:1,227
Greatest Common Factor
We found the factors 628,227 . The biggest common factor number is the GCF number.
So the greatest common factor 628,227 is 1.
Lets's calculate LCM of 18,7588
| 2 | 18, 7588 |
| 9, 3794 |
∴ So the LCM of the given numbers is 2 x 9 x 3794 = 68292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68292
Therefore, the GCF of Fractions 628/18,227/7588 is 1/68292
Least Common Multiple of 18,7588 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 18,7588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,7588) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,7588) x common factors =2 x 1 = 2
LCM(18,7588) = ( 18 × 7588 ) / 2
LCM(18,7588) = 136584 / 2
LCM(18,7588) = 68292
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FAQs on GCF of Fractions of 628/18, 227/7588
1. What is the HCF of 628,227?
The HCF of 628,227 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 628/18, 227/7588?
Answer: GCF of Numerators as per given numbers 628/18, 227/7588 is
GCF of Numerators i.e. for 628,227 is 1
LCM of denominators i.e. for 18,7588 is 68292.
Thus, GCF of Fractions is 1/68292.Finally, GCF of Fractions for 628/18, 227/7588 is 1/68292.