GCF of 1156/618, 1683/195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1156/618, 1683/195 i.e 17/40170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1156/618, 1683/195.
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 1156/618,1683/195?
Given fractions are 1156/618,1683/195
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 1156/618,1683/195, numerators are 1156,1683
Denominators are 618,195
The GCF of 1156,1683 is 17 .
LCM of 618,195 is 40170.
The greatest common factor of 1156/618,1683/195 = [GCF of 1156,1683]/[LCM of 618,195]= 17/40170
Therefore, the GCF of 1156/618,1683/195 is 17/40170.
To find the highest common factor of 1156,1683, we have to find the factors of both numbers and list the highest common factor.
The factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The HCF of 1156,1683 is 17.
Lets's calculate GCF of 1156,1683
| 17 | 1156, 1683 |
| 68, 99 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1156,1683 By Matching Biggest Common Factor Method
Now, list down the factors of 1156
:1,2,4,17,34,68,289,578,1156
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Greatest Common Factor
We found the factors 1156,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 1156,1683 is 17.
Lets's calculate LCM of 618,195
| 3 | 618, 195 |
| 206, 65 |
∴ So the LCM of the given numbers is 3 x 206 x 65 = 40170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/40170
Therefore, the GCF of Fractions 1156/618,1683/195 is 17/40170
Least Common Multiple of 618,195 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 618,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,195) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(618,195) x common factors =3 x 1 = 3
LCM(618,195) = ( 618 × 195 ) / 3
LCM(618,195) = 120510 / 3
LCM(618,195) = 40170
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FAQs on GCF of Fractions of 1156/618, 1683/195
1. What is the HCF of 1156,1683?
The HCF of 1156,1683 is 17
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 1156/618, 1683/195?
Answer: GCF of Numerators as per given numbers 1156/618, 1683/195 is
GCF of Numerators i.e. for 1156,1683 is 17
LCM of denominators i.e. for 618,195 is 40170.
Thus, GCF of Fractions is 17/40170.Finally, GCF of Fractions for 1156/618, 1683/195 is 17/40170.