GCF of 2067/171, 6656/3038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2067/171, 6656/3038 i.e 13/519498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2067/171, 6656/3038.
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 2067/171,6656/3038?
Given fractions are 2067/171,6656/3038
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 2067/171,6656/3038, numerators are 2067,6656
Denominators are 171,3038
The GCF of 2067,6656 is 13 .
LCM of 171,3038 is 519498.
The greatest common factor of 2067/171,6656/3038 = [GCF of 2067,6656]/[LCM of 171,3038]= 13/519498
Therefore, the GCF of 2067/171,6656/3038 is 13/519498.
To find the highest common factor of 2067,6656, we have to find the factors of both numbers and list the highest common factor.
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067
The factors of 6656 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1664, 3328, 6656
The HCF of 2067,6656 is 13.
Lets's calculate GCF of 2067,6656
| 13 | 2067, 6656 |
| 159, 512 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2067,6656 By Matching Biggest Common Factor Method
Now, list down the factors of 2067
:1,3,13,39,53,159,689,2067
Now, list down the factors of 6656
:1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,512,832,1664,3328,6656
Greatest Common Factor
We found the factors 2067,6656 . The biggest common factor number is the GCF number.
So the greatest common factor 2067,6656 is 13.
Lets's calculate LCM of 171,3038
Given numbers has no common factors except 1. So, there LCM is their product i.e 519498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/519498
Therefore, the GCF of Fractions 2067/171,6656/3038 is 13/519498
Least Common Multiple of 171,3038 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 171,3038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,3038) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,3038) x common factors =1 x 1 = 1
LCM(171,3038) = ( 171 × 3038 ) / 1
LCM(171,3038) = 519498 / 1
LCM(171,3038) = 519498
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FAQs on GCF of Fractions of 2067/171, 6656/3038
1. What is the HCF of 2067,6656?
The HCF of 2067,6656 is 13
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 2067/171, 6656/3038?
Answer: GCF of Numerators as per given numbers 2067/171, 6656/3038 is
GCF of Numerators i.e. for 2067,6656 is 13
LCM of denominators i.e. for 171,3038 is 519498.
Thus, GCF of Fractions is 13/519498.Finally, GCF of Fractions for 2067/171, 6656/3038 is 13/519498.