GCF of 7196/804, 1344/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7196/804, 1344/154 i.e 28/61908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7196/804, 1344/154.
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 7196/804,1344/154?
Given fractions are 7196/804,1344/154
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 7196/804,1344/154, numerators are 7196,1344
Denominators are 804,154
The GCF of 7196,1344 is 28 .
LCM of 804,154 is 61908.
The greatest common factor of 7196/804,1344/154 = [GCF of 7196,1344]/[LCM of 804,154]= 28/61908
Therefore, the GCF of 7196/804,1344/154 is 28/61908.
To find the highest common factor of 7196,1344, we have to find the factors of both numbers and list the highest common factor.
The factors of 7196 are 1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196
The factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344
The HCF of 7196,1344 is 28.
Lets's calculate GCF of 7196,1344
| 2 | 7196, 1344 |
| 2 | 3598, 672 |
| 7 | 1799, 336 |
| 257, 48 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 7196,1344 By Matching Biggest Common Factor Method
Now, list down the factors of 7196
:1,2,4,7,14,28,257,514,1028,1799,3598,7196
Now, list down the factors of 1344
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344
Greatest Common Factor
We found the factors 7196,1344 . The biggest common factor number is the GCF number.
So the greatest common factor 7196,1344 is 28.
Lets's calculate LCM of 804,154
| 2 | 804, 154 |
| 402, 77 |
∴ So the LCM of the given numbers is 2 x 402 x 77 = 61908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/61908
Therefore, the GCF of Fractions 7196/804,1344/154 is 28/61908
Least Common Multiple of 804,154 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 804,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(804,154) x common factors =2 x 1 = 2
LCM(804,154) = ( 804 × 154 ) / 2
LCM(804,154) = 123816 / 2
LCM(804,154) = 61908
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FAQs on GCF of Fractions of 7196/804, 1344/154
1. What is the HCF of 7196,1344?
The HCF of 7196,1344 is 28
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 7196/804, 1344/154?
Answer: GCF of Numerators as per given numbers 7196/804, 1344/154 is
GCF of Numerators i.e. for 7196,1344 is 28
LCM of denominators i.e. for 804,154 is 61908.
Thus, GCF of Fractions is 28/61908.Finally, GCF of Fractions for 7196/804, 1344/154 is 28/61908.