GCF of 9833/196, 7176/8664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9833/196, 7176/8664 i.e 1/424536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9833/196, 7176/8664.
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 9833/196,7176/8664?
Given fractions are 9833/196,7176/8664
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 9833/196,7176/8664, numerators are 9833,7176
Denominators are 196,8664
The GCF of 9833,7176 is 1 .
LCM of 196,8664 is 424536.
The greatest common factor of 9833/196,7176/8664 = [GCF of 9833,7176]/[LCM of 196,8664]= 1/424536
Therefore, the GCF of 9833/196,7176/8664 is 1/424536.
To find the highest common factor of 9833,7176, we have to find the factors of both numbers and list the highest common factor.
The factors of 9833 are 1, 9833
The factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176
The HCF of 9833,7176 is 1.
Lets's calculate GCF of 9833,7176
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9833,7176 By Matching Biggest Common Factor Method
Now, list down the factors of 9833
:1,9833
Now, list down the factors of 7176
:1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Greatest Common Factor
We found the factors 9833,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 9833,7176 is 1.
Lets's calculate LCM of 196,8664
| 2 | 196, 8664 |
| 2 | 98, 4332 |
| 49, 2166 |
∴ So the LCM of the given numbers is 2 x 2 x 49 x 2166 = 424536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424536
Therefore, the GCF of Fractions 9833/196,7176/8664 is 1/424536
Least Common Multiple of 196,8664 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 196,8664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,8664) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(196,8664) x common factors =4 x 1 = 4
LCM(196,8664) = ( 196 × 8664 ) / 4
LCM(196,8664) = 1698144 / 4
LCM(196,8664) = 424536
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FAQs on GCF of Fractions of 9833/196, 7176/8664
1. What is the HCF of 9833,7176?
The HCF of 9833,7176 is 1
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 9833/196, 7176/8664?
Answer: GCF of Numerators as per given numbers 9833/196, 7176/8664 is
GCF of Numerators i.e. for 9833,7176 is 1
LCM of denominators i.e. for 196,8664 is 424536.
Thus, GCF of Fractions is 1/424536.Finally, GCF of Fractions for 9833/196, 7176/8664 is 1/424536.