GCF of 4192/996, 7730/7485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4192/996, 7730/7485 i.e 2/2485020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4192/996, 7730/7485.
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 4192/996,7730/7485?
Given fractions are 4192/996,7730/7485
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 4192/996,7730/7485, numerators are 4192,7730
Denominators are 996,7485
The GCF of 4192,7730 is 2 .
LCM of 996,7485 is 2485020.
The greatest common factor of 4192/996,7730/7485 = [GCF of 4192,7730]/[LCM of 996,7485]= 2/2485020
Therefore, the GCF of 4192/996,7730/7485 is 2/2485020.
To find the highest common factor of 4192,7730, we have to find the factors of both numbers and list the highest common factor.
The factors of 4192 are 1, 2, 4, 8, 16, 32, 131, 262, 524, 1048, 2096, 4192
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The HCF of 4192,7730 is 2.
Lets's calculate GCF of 4192,7730
| 2 | 4192, 7730 |
| 2096, 3865 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4192,7730 By Matching Biggest Common Factor Method
Now, list down the factors of 4192
:1,2,4,8,16,32,131,262,524,1048,2096,4192
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Greatest Common Factor
We found the factors 4192,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 4192,7730 is 2.
Lets's calculate LCM of 996,7485
| 3 | 996, 7485 |
| 332, 2495 |
∴ So the LCM of the given numbers is 3 x 332 x 2495 = 2485020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2485020
Therefore, the GCF of Fractions 4192/996,7730/7485 is 2/2485020
Least Common Multiple of 996,7485 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 996,7485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,7485) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(996,7485) x common factors =3 x 1 = 3
LCM(996,7485) = ( 996 × 7485 ) / 3
LCM(996,7485) = 7455060 / 3
LCM(996,7485) = 2485020
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FAQs on GCF of Fractions of 4192/996, 7730/7485
1. What is the HCF of 4192,7730?
The HCF of 4192,7730 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 4192/996, 7730/7485?
Answer: GCF of Numerators as per given numbers 4192/996, 7730/7485 is
GCF of Numerators i.e. for 4192,7730 is 2
LCM of denominators i.e. for 996,7485 is 2485020.
Thus, GCF of Fractions is 2/2485020.Finally, GCF of Fractions for 4192/996, 7730/7485 is 2/2485020.