GCF of 92/99, 798/62, 344/499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/99, 798/62, 344/499 i.e 2/3062862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/99, 798/62, 344/499.
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 92/99,798/62,344/499?
Given fractions are 92/99,798/62,344/499
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 92/99,798/62,344/499, numerators are 92,798,344
Denominators are 99,62,499
The GCF of 92,798,344 is 2 .
LCM of 99,62,499 is 3062862.
The greatest common factor of 92/99,798/62,344/499 = [GCF of 92,798,344]/[LCM of 99,62,499]= 2/3062862
Therefore, the GCF of 92/99,798/62,344/499 is 2/3062862.
To find the highest common factor of 92,798,344, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The HCF of 92,798,344 is 2.
Lets's calculate GCF of 92,798,344
| 2 | 92, 798, 344 |
| 46, 399, 172 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 92,798,344 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 798
:1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 92,798,344 . The biggest common factor number is the GCF number.
So the greatest common factor 92,798,344 is 2.
Lets's calculate LCM of 99,62,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 3062862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3062862
Therefore, the GCF of Fractions 92/99,798/62,344/499 is 2/3062862
Least Common Multiple of 99,62,499 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 99,62,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,62,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,62,499) x common factors =1 x 1 = 1
LCM(99,62,499) = ( 99 × 62 × 499 ) / 1
LCM(99,62,499) = 3062862 / 1
LCM(99,62,499) = 3062862
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FAQs on GCF of Fractions of 92/99, 798/62, 344/499
1. What is the HCF of 92,798,344?
The HCF of 92,798,344 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 92/99, 798/62, 344/499?
Answer: GCF of Numerators as per given numbers 92/99, 798/62, 344/499 is
GCF of Numerators i.e. for 92,798,344 is 2
LCM of denominators i.e. for 99,62,499 is 3062862.
Thus, GCF of Fractions is 2/3062862.Finally, GCF of Fractions for 92/99, 798/62, 344/499 is 2/3062862.