GCF of 6476/788, 3786/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6476/788, 3786/164 i.e 2/32308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6476/788, 3786/164.
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 6476/788,3786/164?
Given fractions are 6476/788,3786/164
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 6476/788,3786/164, numerators are 6476,3786
Denominators are 788,164
The GCF of 6476,3786 is 2 .
LCM of 788,164 is 32308.
The greatest common factor of 6476/788,3786/164 = [GCF of 6476,3786]/[LCM of 788,164]= 2/32308
Therefore, the GCF of 6476/788,3786/164 is 2/32308.
To find the highest common factor of 6476,3786, we have to find the factors of both numbers and list the highest common factor.
The factors of 6476 are 1, 2, 4, 1619, 3238, 6476
The factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786
The HCF of 6476,3786 is 2.
Lets's calculate GCF of 6476,3786
| 2 | 6476, 3786 |
| 3238, 1893 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6476,3786 By Matching Biggest Common Factor Method
Now, list down the factors of 6476
:1,2,4,1619,3238,6476
Now, list down the factors of 3786
:1,2,3,6,631,1262,1893,3786
Greatest Common Factor
We found the factors 6476,3786 . The biggest common factor number is the GCF number.
So the greatest common factor 6476,3786 is 2.
Lets's calculate LCM of 788,164
| 2 | 788, 164 |
| 2 | 394, 82 |
| 197, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 41 = 32308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32308
Therefore, the GCF of Fractions 6476/788,3786/164 is 2/32308
Least Common Multiple of 788,164 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 788,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,164) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(788,164) x common factors =4 x 1 = 4
LCM(788,164) = ( 788 × 164 ) / 4
LCM(788,164) = 129232 / 4
LCM(788,164) = 32308
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FAQs on GCF of Fractions of 6476/788, 3786/164
1. What is the HCF of 6476,3786?
The HCF of 6476,3786 is 2
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 6476/788, 3786/164?
Answer: GCF of Numerators as per given numbers 6476/788, 3786/164 is
GCF of Numerators i.e. for 6476,3786 is 2
LCM of denominators i.e. for 788,164 is 32308.
Thus, GCF of Fractions is 2/32308.Finally, GCF of Fractions for 6476/788, 3786/164 is 2/32308.