GCF of 7197/849, 8078/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7197/849, 8078/486 i.e 1/137538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7197/849, 8078/486.
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 7197/849,8078/486?
Given fractions are 7197/849,8078/486
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 7197/849,8078/486, numerators are 7197,8078
Denominators are 849,486
The GCF of 7197,8078 is 1 .
LCM of 849,486 is 137538.
The greatest common factor of 7197/849,8078/486 = [GCF of 7197,8078]/[LCM of 849,486]= 1/137538
Therefore, the GCF of 7197/849,8078/486 is 1/137538.
To find the highest common factor of 7197,8078, we have to find the factors of both numbers and list the highest common factor.
The factors of 7197 are 1, 3, 2399, 7197
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The HCF of 7197,8078 is 1.
Lets's calculate GCF of 7197,8078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7197,8078 By Matching Biggest Common Factor Method
Now, list down the factors of 7197
:1,3,2399,7197
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Greatest Common Factor
We found the factors 7197,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 7197,8078 is 1.
Lets's calculate LCM of 849,486
| 3 | 849, 486 |
| 283, 162 |
∴ So the LCM of the given numbers is 3 x 283 x 162 = 137538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137538
Therefore, the GCF of Fractions 7197/849,8078/486 is 1/137538
Least Common Multiple of 849,486 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 849,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,486) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,486) x common factors =3 x 1 = 3
LCM(849,486) = ( 849 × 486 ) / 3
LCM(849,486) = 412614 / 3
LCM(849,486) = 137538
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FAQs on GCF of Fractions of 7197/849, 8078/486
1. What is the HCF of 7197,8078?
The HCF of 7197,8078 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 7197/849, 8078/486?
Answer: GCF of Numerators as per given numbers 7197/849, 8078/486 is
GCF of Numerators i.e. for 7197,8078 is 1
LCM of denominators i.e. for 849,486 is 137538.
Thus, GCF of Fractions is 1/137538.Finally, GCF of Fractions for 7197/849, 8078/486 is 1/137538.