GCF of 7192/558, 4914/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7192/558, 4914/274 i.e 2/76446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7192/558, 4914/274.
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 7192/558,4914/274?
Given fractions are 7192/558,4914/274
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 7192/558,4914/274, numerators are 7192,4914
Denominators are 558,274
The GCF of 7192,4914 is 2 .
LCM of 558,274 is 76446.
The greatest common factor of 7192/558,4914/274 = [GCF of 7192,4914]/[LCM of 558,274]= 2/76446
Therefore, the GCF of 7192/558,4914/274 is 2/76446.
To find the highest common factor of 7192,4914, we have to find the factors of both numbers and list the highest common factor.
The factors of 7192 are 1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192
The factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The HCF of 7192,4914 is 2.
Lets's calculate GCF of 7192,4914
| 2 | 7192, 4914 |
| 3596, 2457 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7192,4914 By Matching Biggest Common Factor Method
Now, list down the factors of 7192
:1,2,4,8,29,31,58,62,116,124,232,248,899,1798,3596,7192
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 7192,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 7192,4914 is 2.
Lets's calculate LCM of 558,274
| 2 | 558, 274 |
| 279, 137 |
∴ So the LCM of the given numbers is 2 x 279 x 137 = 76446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76446
Therefore, the GCF of Fractions 7192/558,4914/274 is 2/76446
Least Common Multiple of 558,274 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 558,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,274) x common factors =2 x 1 = 2
LCM(558,274) = ( 558 × 274 ) / 2
LCM(558,274) = 152892 / 2
LCM(558,274) = 76446
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FAQs on GCF of Fractions of 7192/558, 4914/274
1. What is the HCF of 7192,4914?
The HCF of 7192,4914 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 7192/558, 4914/274?
Answer: GCF of Numerators as per given numbers 7192/558, 4914/274 is
GCF of Numerators i.e. for 7192,4914 is 2
LCM of denominators i.e. for 558,274 is 76446.
Thus, GCF of Fractions is 2/76446.Finally, GCF of Fractions for 7192/558, 4914/274 is 2/76446.