GCF of 3208/173, 7728/1176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3208/173, 7728/1176 i.e 8/203448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3208/173, 7728/1176.
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 3208/173,7728/1176?
Given fractions are 3208/173,7728/1176
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 3208/173,7728/1176, numerators are 3208,7728
Denominators are 173,1176
The GCF of 3208,7728 is 8 .
LCM of 173,1176 is 203448.
The greatest common factor of 3208/173,7728/1176 = [GCF of 3208,7728]/[LCM of 173,1176]= 8/203448
Therefore, the GCF of 3208/173,7728/1176 is 8/203448.
To find the highest common factor of 3208,7728, we have to find the factors of both numbers and list the highest common factor.
The factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208
The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728
The HCF of 3208,7728 is 8.
Lets's calculate GCF of 3208,7728
| 2 | 3208, 7728 |
| 2 | 1604, 3864 |
| 2 | 802, 1932 |
| 401, 966 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3208,7728 By Matching Biggest Common Factor Method
Now, list down the factors of 3208
:1,2,4,8,401,802,1604,3208
Now, list down the factors of 7728
:1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728
Greatest Common Factor
We found the factors 3208,7728 . The biggest common factor number is the GCF number.
So the greatest common factor 3208,7728 is 8.
Lets's calculate LCM of 173,1176
Given numbers has no common factors except 1. So, there LCM is their product i.e 203448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/203448
Therefore, the GCF of Fractions 3208/173,7728/1176 is 8/203448
Least Common Multiple of 173,1176 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 173,1176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,1176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,1176) x common factors =1 x 1 = 1
LCM(173,1176) = ( 173 × 1176 ) / 1
LCM(173,1176) = 203448 / 1
LCM(173,1176) = 203448
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FAQs on GCF of Fractions of 3208/173, 7728/1176
1. What is the HCF of 3208,7728?
The HCF of 3208,7728 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 3208/173, 7728/1176?
Answer: GCF of Numerators as per given numbers 3208/173, 7728/1176 is
GCF of Numerators i.e. for 3208,7728 is 8
LCM of denominators i.e. for 173,1176 is 203448.
Thus, GCF of Fractions is 8/203448.Finally, GCF of Fractions for 3208/173, 7728/1176 is 8/203448.