GCF of 9198/924, 9787/6046
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9198/924, 9787/6046 i.e 1/2793252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9198/924, 9787/6046.
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 9198/924,9787/6046?
Given fractions are 9198/924,9787/6046
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 9198/924,9787/6046, numerators are 9198,9787
Denominators are 924,6046
The GCF of 9198,9787 is 1 .
LCM of 924,6046 is 2793252.
The greatest common factor of 9198/924,9787/6046 = [GCF of 9198,9787]/[LCM of 924,6046]= 1/2793252
Therefore, the GCF of 9198/924,9787/6046 is 1/2793252.
To find the highest common factor of 9198,9787, we have to find the factors of both numbers and list the highest common factor.
The factors of 9198 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198
The factors of 9787 are 1, 9787
The HCF of 9198,9787 is 1.
Lets's calculate GCF of 9198,9787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9198,9787 By Matching Biggest Common Factor Method
Now, list down the factors of 9198
:1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198
Now, list down the factors of 9787
:1,9787
Greatest Common Factor
We found the factors 9198,9787 . The biggest common factor number is the GCF number.
So the greatest common factor 9198,9787 is 1.
Lets's calculate LCM of 924,6046
| 2 | 924, 6046 |
| 462, 3023 |
∴ So the LCM of the given numbers is 2 x 462 x 3023 = 2793252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2793252
Therefore, the GCF of Fractions 9198/924,9787/6046 is 1/2793252
Least Common Multiple of 924,6046 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 924,6046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,6046) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(924,6046) x common factors =2 x 1 = 2
LCM(924,6046) = ( 924 × 6046 ) / 2
LCM(924,6046) = 5586504 / 2
LCM(924,6046) = 2793252
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FAQs on GCF of Fractions of 9198/924, 9787/6046
1. What is the HCF of 9198,9787?
The HCF of 9198,9787 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 9198/924, 9787/6046?
Answer: GCF of Numerators as per given numbers 9198/924, 9787/6046 is
GCF of Numerators i.e. for 9198,9787 is 1
LCM of denominators i.e. for 924,6046 is 2793252.
Thus, GCF of Fractions is 1/2793252.Finally, GCF of Fractions for 9198/924, 9787/6046 is 1/2793252.