GCF of 9492/175, 6099/3405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9492/175, 6099/3405 i.e 3/119175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9492/175, 6099/3405.
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 9492/175,6099/3405?
Given fractions are 9492/175,6099/3405
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 9492/175,6099/3405, numerators are 9492,6099
Denominators are 175,3405
The GCF of 9492,6099 is 3 .
LCM of 175,3405 is 119175.
The greatest common factor of 9492/175,6099/3405 = [GCF of 9492,6099]/[LCM of 175,3405]= 3/119175
Therefore, the GCF of 9492/175,6099/3405 is 3/119175.
To find the highest common factor of 9492,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 9492,6099 is 3.
Lets's calculate GCF of 9492,6099
| 3 | 9492, 6099 |
| 3164, 2033 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9492,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 9492
:1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 9492,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 9492,6099 is 3.
Lets's calculate LCM of 175,3405
| 5 | 175, 3405 |
| 35, 681 |
∴ So the LCM of the given numbers is 5 x 35 x 681 = 119175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/119175
Therefore, the GCF of Fractions 9492/175,6099/3405 is 3/119175
Least Common Multiple of 175,3405 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 175,3405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,3405) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(175,3405) x common factors =5 x 1 = 5
LCM(175,3405) = ( 175 × 3405 ) / 5
LCM(175,3405) = 595875 / 5
LCM(175,3405) = 119175
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FAQs on GCF of Fractions of 9492/175, 6099/3405
1. What is the HCF of 9492,6099?
The HCF of 9492,6099 is 3
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 9492/175, 6099/3405?
Answer: GCF of Numerators as per given numbers 9492/175, 6099/3405 is
GCF of Numerators i.e. for 9492,6099 is 3
LCM of denominators i.e. for 175,3405 is 119175.
Thus, GCF of Fractions is 3/119175.Finally, GCF of Fractions for 9492/175, 6099/3405 is 3/119175.