GCF of 4197/164, 9365/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4197/164, 9365/698 i.e 1/57236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4197/164, 9365/698.
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 4197/164,9365/698?
Given fractions are 4197/164,9365/698
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 4197/164,9365/698, numerators are 4197,9365
Denominators are 164,698
The GCF of 4197,9365 is 1 .
LCM of 164,698 is 57236.
The greatest common factor of 4197/164,9365/698 = [GCF of 4197,9365]/[LCM of 164,698]= 1/57236
Therefore, the GCF of 4197/164,9365/698 is 1/57236.
To find the highest common factor of 4197,9365, we have to find the factors of both numbers and list the highest common factor.
The factors of 4197 are 1, 3, 1399, 4197
The factors of 9365 are 1, 5, 1873, 9365
The HCF of 4197,9365 is 1.
Lets's calculate GCF of 4197,9365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4197,9365 By Matching Biggest Common Factor Method
Now, list down the factors of 4197
:1,3,1399,4197
Now, list down the factors of 9365
:1,5,1873,9365
Greatest Common Factor
We found the factors 4197,9365 . The biggest common factor number is the GCF number.
So the greatest common factor 4197,9365 is 1.
Lets's calculate LCM of 164,698
| 2 | 164, 698 |
| 82, 349 |
∴ So the LCM of the given numbers is 2 x 82 x 349 = 57236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57236
Therefore, the GCF of Fractions 4197/164,9365/698 is 1/57236
Least Common Multiple of 164,698 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 164,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,698) x common factors =2 x 1 = 2
LCM(164,698) = ( 164 × 698 ) / 2
LCM(164,698) = 114472 / 2
LCM(164,698) = 57236
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FAQs on GCF of Fractions of 4197/164, 9365/698
1. What is the HCF of 4197,9365?
The HCF of 4197,9365 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 4197/164, 9365/698?
Answer: GCF of Numerators as per given numbers 4197/164, 9365/698 is
GCF of Numerators i.e. for 4197,9365 is 1
LCM of denominators i.e. for 164,698 is 57236.
Thus, GCF of Fractions is 1/57236.Finally, GCF of Fractions for 4197/164, 9365/698 is 1/57236.