GCF of 993/69, 129/3690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 993/69, 129/3690 i.e 3/84870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 993/69, 129/3690.
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 993/69,129/3690?
Given fractions are 993/69,129/3690
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 993/69,129/3690, numerators are 993,129
Denominators are 69,3690
The GCF of 993,129 is 3 .
LCM of 69,3690 is 84870.
The greatest common factor of 993/69,129/3690 = [GCF of 993,129]/[LCM of 69,3690]= 3/84870
Therefore, the GCF of 993/69,129/3690 is 3/84870.
To find the highest common factor of 993,129, we have to find the factors of both numbers and list the highest common factor.
The factors of 993 are 1, 3, 331, 993
The factors of 129 are 1, 3, 43, 129
The HCF of 993,129 is 3.
Lets's calculate GCF of 993,129
| 3 | 993, 129 |
| 331, 43 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 993,129 By Matching Biggest Common Factor Method
Now, list down the factors of 993
:1,3,331,993
Now, list down the factors of 129
:1,3,43,129
Greatest Common Factor
We found the factors 993,129 . The biggest common factor number is the GCF number.
So the greatest common factor 993,129 is 3.
Lets's calculate LCM of 69,3690
| 3 | 69, 3690 |
| 23, 1230 |
∴ So the LCM of the given numbers is 3 x 23 x 1230 = 84870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/84870
Therefore, the GCF of Fractions 993/69,129/3690 is 3/84870
Least Common Multiple of 69,3690 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 69,3690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,3690) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,3690) x common factors =3 x 1 = 3
LCM(69,3690) = ( 69 × 3690 ) / 3
LCM(69,3690) = 254610 / 3
LCM(69,3690) = 84870
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FAQs on GCF of Fractions of 993/69, 129/3690
1. What is the HCF of 993,129?
The HCF of 993,129 is 3
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 993/69, 129/3690?
Answer: GCF of Numerators as per given numbers 993/69, 129/3690 is
GCF of Numerators i.e. for 993,129 is 3
LCM of denominators i.e. for 69,3690 is 84870.
Thus, GCF of Fractions is 3/84870.Finally, GCF of Fractions for 993/69, 129/3690 is 3/84870.