GCF of 766/164, 8043/8426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 766/164, 8043/8426 i.e 383/690932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/164, 8043/8426.
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 766/164,8043/8426?
Given fractions are 766/164,8043/8426
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 766/164,8043/8426, numerators are 766,8043
Denominators are 164,8426
The GCF of 766,8043 is 383 .
LCM of 164,8426 is 690932.
The greatest common factor of 766/164,8043/8426 = [GCF of 766,8043]/[LCM of 164,8426]= 383/690932
Therefore, the GCF of 766/164,8043/8426 is 383/690932.
To find the highest common factor of 766,8043, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043
The HCF of 766,8043 is 383.
Lets's calculate GCF of 766,8043
| 383 | 766, 8043 |
| 2, 21 |
∴ So the GCF of the given numbers is 383 = 383
Greatest Common Factor of 766,8043 By Matching Biggest Common Factor Method
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 8043
:1,3,7,21,383,1149,2681,8043
Greatest Common Factor
We found the factors 766,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 766,8043 is 383.
Lets's calculate LCM of 164,8426
| 2 | 164, 8426 |
| 82, 4213 |
∴ So the LCM of the given numbers is 2 x 82 x 4213 = 690932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 383/690932
Therefore, the GCF of Fractions 766/164,8043/8426 is 383/690932
Least Common Multiple of 164,8426 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 164,8426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,8426) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,8426) x common factors =2 x 1 = 2
LCM(164,8426) = ( 164 × 8426 ) / 2
LCM(164,8426) = 1381864 / 2
LCM(164,8426) = 690932
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FAQs on GCF of Fractions of 766/164, 8043/8426
1. What is the HCF of 766,8043?
The HCF of 766,8043 is 383
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 766/164, 8043/8426?
Answer: GCF of Numerators as per given numbers 766/164, 8043/8426 is
GCF of Numerators i.e. for 766,8043 is 383
LCM of denominators i.e. for 164,8426 is 690932.
Thus, GCF of Fractions is 383/690932.Finally, GCF of Fractions for 766/164, 8043/8426 is 383/690932.