GCF of 7682/456, 8569/1143
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7682/456, 8569/1143 i.e 1/173736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7682/456, 8569/1143.
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 7682/456,8569/1143?
Given fractions are 7682/456,8569/1143
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 7682/456,8569/1143, numerators are 7682,8569
Denominators are 456,1143
The GCF of 7682,8569 is 1 .
LCM of 456,1143 is 173736.
The greatest common factor of 7682/456,8569/1143 = [GCF of 7682,8569]/[LCM of 456,1143]= 1/173736
Therefore, the GCF of 7682/456,8569/1143 is 1/173736.
To find the highest common factor of 7682,8569, we have to find the factors of both numbers and list the highest common factor.
The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682
The factors of 8569 are 1, 11, 19, 41, 209, 451, 779, 8569
The HCF of 7682,8569 is 1.
Lets's calculate GCF of 7682,8569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7682,8569 By Matching Biggest Common Factor Method
Now, list down the factors of 7682
:1,2,23,46,167,334,3841,7682
Now, list down the factors of 8569
:1,11,19,41,209,451,779,8569
Greatest Common Factor
We found the factors 7682,8569 . The biggest common factor number is the GCF number.
So the greatest common factor 7682,8569 is 1.
Lets's calculate LCM of 456,1143
| 3 | 456, 1143 |
| 152, 381 |
∴ So the LCM of the given numbers is 3 x 152 x 381 = 173736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173736
Therefore, the GCF of Fractions 7682/456,8569/1143 is 1/173736
Least Common Multiple of 456,1143 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 456,1143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,1143) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(456,1143) x common factors =3 x 1 = 3
LCM(456,1143) = ( 456 × 1143 ) / 3
LCM(456,1143) = 521208 / 3
LCM(456,1143) = 173736
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FAQs on GCF of Fractions of 7682/456, 8569/1143
1. What is the HCF of 7682,8569?
The HCF of 7682,8569 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 7682/456, 8569/1143?
Answer: GCF of Numerators as per given numbers 7682/456, 8569/1143 is
GCF of Numerators i.e. for 7682,8569 is 1
LCM of denominators i.e. for 456,1143 is 173736.
Thus, GCF of Fractions is 1/173736.Finally, GCF of Fractions for 7682/456, 8569/1143 is 1/173736.