GCF of 8692/493, 9204/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8692/493, 9204/488 i.e 4/240584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8692/493, 9204/488.
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 8692/493,9204/488?
Given fractions are 8692/493,9204/488
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 8692/493,9204/488, numerators are 8692,9204
Denominators are 493,488
The GCF of 8692,9204 is 4 .
LCM of 493,488 is 240584.
The greatest common factor of 8692/493,9204/488 = [GCF of 8692,9204]/[LCM of 493,488]= 4/240584
Therefore, the GCF of 8692/493,9204/488 is 4/240584.
To find the highest common factor of 8692,9204, we have to find the factors of both numbers and list the highest common factor.
The factors of 8692 are 1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The HCF of 8692,9204 is 4.
Lets's calculate GCF of 8692,9204
| 2 | 8692, 9204 |
| 2 | 4346, 4602 |
| 2173, 2301 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8692,9204 By Matching Biggest Common Factor Method
Now, list down the factors of 8692
:1,2,4,41,53,82,106,164,212,2173,4346,8692
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Greatest Common Factor
We found the factors 8692,9204 . The biggest common factor number is the GCF number.
So the greatest common factor 8692,9204 is 4.
Lets's calculate LCM of 493,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 240584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/240584
Therefore, the GCF of Fractions 8692/493,9204/488 is 4/240584
Least Common Multiple of 493,488 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 493,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,488) x common factors =1 x 1 = 1
LCM(493,488) = ( 493 × 488 ) / 1
LCM(493,488) = 240584 / 1
LCM(493,488) = 240584
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FAQs on GCF of Fractions of 8692/493, 9204/488
1. What is the HCF of 8692,9204?
The HCF of 8692,9204 is 4
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 8692/493, 9204/488?
Answer: GCF of Numerators as per given numbers 8692/493, 9204/488 is
GCF of Numerators i.e. for 8692,9204 is 4
LCM of denominators i.e. for 493,488 is 240584.
Thus, GCF of Fractions is 4/240584.Finally, GCF of Fractions for 8692/493, 9204/488 is 4/240584.