GCF of 1704/811, 1696/6976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1704/811, 1696/6976 i.e 8/5657536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1704/811, 1696/6976.
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 1704/811,1696/6976?
Given fractions are 1704/811,1696/6976
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 1704/811,1696/6976, numerators are 1704,1696
Denominators are 811,6976
The GCF of 1704,1696 is 8 .
LCM of 811,6976 is 5657536.
The greatest common factor of 1704/811,1696/6976 = [GCF of 1704,1696]/[LCM of 811,6976]= 8/5657536
Therefore, the GCF of 1704/811,1696/6976 is 8/5657536.
To find the highest common factor of 1704,1696, we have to find the factors of both numbers and list the highest common factor.
The factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704
The factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696
The HCF of 1704,1696 is 8.
Lets's calculate GCF of 1704,1696
| 2 | 1704, 1696 |
| 2 | 852, 848 |
| 2 | 426, 424 |
| 213, 212 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1704,1696 By Matching Biggest Common Factor Method
Now, list down the factors of 1704
:1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704
Now, list down the factors of 1696
:1,2,4,8,16,32,53,106,212,424,848,1696
Greatest Common Factor
We found the factors 1704,1696 . The biggest common factor number is the GCF number.
So the greatest common factor 1704,1696 is 8.
Lets's calculate LCM of 811,6976
Given numbers has no common factors except 1. So, there LCM is their product i.e 5657536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5657536
Therefore, the GCF of Fractions 1704/811,1696/6976 is 8/5657536
Least Common Multiple of 811,6976 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 811,6976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,6976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,6976) x common factors =1 x 1 = 1
LCM(811,6976) = ( 811 × 6976 ) / 1
LCM(811,6976) = 5657536 / 1
LCM(811,6976) = 5657536
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FAQs on GCF of Fractions of 1704/811, 1696/6976
1. What is the HCF of 1704,1696?
The HCF of 1704,1696 is 8
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 1704/811, 1696/6976?
Answer: GCF of Numerators as per given numbers 1704/811, 1696/6976 is
GCF of Numerators i.e. for 1704,1696 is 8
LCM of denominators i.e. for 811,6976 is 5657536.
Thus, GCF of Fractions is 8/5657536.Finally, GCF of Fractions for 1704/811, 1696/6976 is 8/5657536.