GCF of 3267/269, 2959/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3267/269, 2959/614 i.e 11/165166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3267/269, 2959/614.
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 3267/269,2959/614?
Given fractions are 3267/269,2959/614
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 3267/269,2959/614, numerators are 3267,2959
Denominators are 269,614
The GCF of 3267,2959 is 11 .
LCM of 269,614 is 165166.
The greatest common factor of 3267/269,2959/614 = [GCF of 3267,2959]/[LCM of 269,614]= 11/165166
Therefore, the GCF of 3267/269,2959/614 is 11/165166.
To find the highest common factor of 3267,2959, we have to find the factors of both numbers and list the highest common factor.
The factors of 3267 are 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267
The factors of 2959 are 1, 11, 269, 2959
The HCF of 3267,2959 is 11.
Lets's calculate GCF of 3267,2959
| 11 | 3267, 2959 |
| 297, 269 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3267,2959 By Matching Biggest Common Factor Method
Now, list down the factors of 3267
:1,3,9,11,27,33,99,121,297,363,1089,3267
Now, list down the factors of 2959
:1,11,269,2959
Greatest Common Factor
We found the factors 3267,2959 . The biggest common factor number is the GCF number.
So the greatest common factor 3267,2959 is 11.
Lets's calculate LCM of 269,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 165166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/165166
Therefore, the GCF of Fractions 3267/269,2959/614 is 11/165166
Least Common Multiple of 269,614 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 269,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,614) x common factors =1 x 1 = 1
LCM(269,614) = ( 269 × 614 ) / 1
LCM(269,614) = 165166 / 1
LCM(269,614) = 165166
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FAQs on GCF of Fractions of 3267/269, 2959/614
1. What is the HCF of 3267,2959?
The HCF of 3267,2959 is 11
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 3267/269, 2959/614?
Answer: GCF of Numerators as per given numbers 3267/269, 2959/614 is
GCF of Numerators i.e. for 3267,2959 is 11
LCM of denominators i.e. for 269,614 is 165166.
Thus, GCF of Fractions is 11/165166.Finally, GCF of Fractions for 3267/269, 2959/614 is 11/165166.