GCF of 7663/282, 6233/188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7663/282, 6233/188 i.e 1/564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7663/282, 6233/188.
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 7663/282,6233/188?
Given fractions are 7663/282,6233/188
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 7663/282,6233/188, numerators are 7663,6233
Denominators are 282,188
The GCF of 7663,6233 is 1 .
LCM of 282,188 is 564.
The greatest common factor of 7663/282,6233/188 = [GCF of 7663,6233]/[LCM of 282,188]= 1/564
Therefore, the GCF of 7663/282,6233/188 is 1/564.
To find the highest common factor of 7663,6233, we have to find the factors of both numbers and list the highest common factor.
The factors of 7663 are 1, 79, 97, 7663
The factors of 6233 are 1, 23, 271, 6233
The HCF of 7663,6233 is 1.
Lets's calculate GCF of 7663,6233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7663,6233 By Matching Biggest Common Factor Method
Now, list down the factors of 7663
:1,79,97,7663
Now, list down the factors of 6233
:1,23,271,6233
Greatest Common Factor
We found the factors 7663,6233 . The biggest common factor number is the GCF number.
So the greatest common factor 7663,6233 is 1.
Lets's calculate LCM of 282,188
| 2 | 282, 188 |
| 47 | 141, 94 |
| 3, 2 |
∴ So the LCM of the given numbers is 2 x 47 x 3 x 2 = 564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564
Therefore, the GCF of Fractions 7663/282,6233/188 is 1/564
Least Common Multiple of 282,188 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 282,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,188) = 94
common factors(in case of two or more numbers have common factors) = 1
GCF(282,188) x common factors =94 x 1 = 94
LCM(282,188) = ( 282 × 188 ) / 94
LCM(282,188) = 53016 / 94
LCM(282,188) = 564
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FAQs on GCF of Fractions of 7663/282, 6233/188
1. What is the HCF of 7663,6233?
The HCF of 7663,6233 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 7663/282, 6233/188?
Answer: GCF of Numerators as per given numbers 7663/282, 6233/188 is
GCF of Numerators i.e. for 7663,6233 is 1
LCM of denominators i.e. for 282,188 is 564.
Thus, GCF of Fractions is 1/564.Finally, GCF of Fractions for 7663/282, 6233/188 is 1/564.