GCF of 1229/465, 7965/657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1229/465, 7965/657 i.e 1/101835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1229/465, 7965/657.
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 1229/465,7965/657?
Given fractions are 1229/465,7965/657
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 1229/465,7965/657, numerators are 1229,7965
Denominators are 465,657
The GCF of 1229,7965 is 1 .
LCM of 465,657 is 101835.
The greatest common factor of 1229/465,7965/657 = [GCF of 1229,7965]/[LCM of 465,657]= 1/101835
Therefore, the GCF of 1229/465,7965/657 is 1/101835.
To find the highest common factor of 1229,7965, we have to find the factors of both numbers and list the highest common factor.
The factors of 1229 are 1, 1229
The factors of 7965 are 1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965
The HCF of 1229,7965 is 1.
Lets's calculate GCF of 1229,7965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1229,7965 By Matching Biggest Common Factor Method
Now, list down the factors of 1229
:1,1229
Now, list down the factors of 7965
:1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965
Greatest Common Factor
We found the factors 1229,7965 . The biggest common factor number is the GCF number.
So the greatest common factor 1229,7965 is 1.
Lets's calculate LCM of 465,657
| 3 | 465, 657 |
| 155, 219 |
∴ So the LCM of the given numbers is 3 x 155 x 219 = 101835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101835
Therefore, the GCF of Fractions 1229/465,7965/657 is 1/101835
Least Common Multiple of 465,657 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 465,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,657) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,657) x common factors =3 x 1 = 3
LCM(465,657) = ( 465 × 657 ) / 3
LCM(465,657) = 305505 / 3
LCM(465,657) = 101835
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FAQs on GCF of Fractions of 1229/465, 7965/657
1. What is the HCF of 1229,7965?
The HCF of 1229,7965 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 1229/465, 7965/657?
Answer: GCF of Numerators as per given numbers 1229/465, 7965/657 is
GCF of Numerators i.e. for 1229,7965 is 1
LCM of denominators i.e. for 465,657 is 101835.
Thus, GCF of Fractions is 1/101835.Finally, GCF of Fractions for 1229/465, 7965/657 is 1/101835.