GCF of 9198/989, 4116/5425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9198/989, 4116/5425 i.e 42/5365325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9198/989, 4116/5425.
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 9198/989,4116/5425?
Given fractions are 9198/989,4116/5425
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 9198/989,4116/5425, numerators are 9198,4116
Denominators are 989,5425
The GCF of 9198,4116 is 42 .
LCM of 989,5425 is 5365325.
The greatest common factor of 9198/989,4116/5425 = [GCF of 9198,4116]/[LCM of 989,5425]= 42/5365325
Therefore, the GCF of 9198/989,4116/5425 is 42/5365325.
To find the highest common factor of 9198,4116, 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 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
The HCF of 9198,4116 is 42.
Lets's calculate GCF of 9198,4116
| 2 | 9198, 4116 |
| 3 | 4599, 2058 |
| 7 | 1533, 686 |
| 219, 98 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 9198,4116 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 4116
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116
Greatest Common Factor
We found the factors 9198,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 9198,4116 is 42.
Lets's calculate LCM of 989,5425
Given numbers has no common factors except 1. So, there LCM is their product i.e 5365325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/5365325
Therefore, the GCF of Fractions 9198/989,4116/5425 is 42/5365325
Least Common Multiple of 989,5425 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 989,5425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,5425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,5425) x common factors =1 x 1 = 1
LCM(989,5425) = ( 989 × 5425 ) / 1
LCM(989,5425) = 5365325 / 1
LCM(989,5425) = 5365325
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FAQs on GCF of Fractions of 9198/989, 4116/5425
1. What is the HCF of 9198,4116?
The HCF of 9198,4116 is 42
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 9198/989, 4116/5425?
Answer: GCF of Numerators as per given numbers 9198/989, 4116/5425 is
GCF of Numerators i.e. for 9198,4116 is 42
LCM of denominators i.e. for 989,5425 is 5365325.
Thus, GCF of Fractions is 42/5365325.Finally, GCF of Fractions for 9198/989, 4116/5425 is 42/5365325.