GCF of 1209/997, 7347/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1209/997, 7347/728 i.e 93/725816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1209/997, 7347/728.
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 1209/997,7347/728?
Given fractions are 1209/997,7347/728
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 1209/997,7347/728, numerators are 1209,7347
Denominators are 997,728
The GCF of 1209,7347 is 93 .
LCM of 997,728 is 725816.
The greatest common factor of 1209/997,7347/728 = [GCF of 1209,7347]/[LCM of 997,728]= 93/725816
Therefore, the GCF of 1209/997,7347/728 is 93/725816.
To find the highest common factor of 1209,7347, we have to find the factors of both numbers and list the highest common factor.
The factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209
The factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347
The HCF of 1209,7347 is 93.
Lets's calculate GCF of 1209,7347
| 3 | 1209, 7347 |
| 31 | 403, 2449 |
| 13, 79 |
∴ So the GCF of the given numbers is 3 x 31 = 93
Greatest Common Factor of 1209,7347 By Matching Biggest Common Factor Method
Now, list down the factors of 1209
:1,3,13,31,39,93,403,1209
Now, list down the factors of 7347
:1,3,31,79,93,237,2449,7347
Greatest Common Factor
We found the factors 1209,7347 . The biggest common factor number is the GCF number.
So the greatest common factor 1209,7347 is 93.
Lets's calculate LCM of 997,728
Given numbers has no common factors except 1. So, there LCM is their product i.e 725816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 93/725816
Therefore, the GCF of Fractions 1209/997,7347/728 is 93/725816
Least Common Multiple of 997,728 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 997,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,728) x common factors =1 x 1 = 1
LCM(997,728) = ( 997 × 728 ) / 1
LCM(997,728) = 725816 / 1
LCM(997,728) = 725816
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FAQs on GCF of Fractions of 1209/997, 7347/728
1. What is the HCF of 1209,7347?
The HCF of 1209,7347 is 93
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 1209/997, 7347/728?
Answer: GCF of Numerators as per given numbers 1209/997, 7347/728 is
GCF of Numerators i.e. for 1209,7347 is 93
LCM of denominators i.e. for 997,728 is 725816.
Thus, GCF of Fractions is 93/725816.Finally, GCF of Fractions for 1209/997, 7347/728 is 93/725816.