GCF of 2901/239, 6336/4104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2901/239, 6336/4104 i.e 3/980856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2901/239, 6336/4104.
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 2901/239,6336/4104?
Given fractions are 2901/239,6336/4104
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 2901/239,6336/4104, numerators are 2901,6336
Denominators are 239,4104
The GCF of 2901,6336 is 3 .
LCM of 239,4104 is 980856.
The greatest common factor of 2901/239,6336/4104 = [GCF of 2901,6336]/[LCM of 239,4104]= 3/980856
Therefore, the GCF of 2901/239,6336/4104 is 3/980856.
To find the highest common factor of 2901,6336, we have to find the factors of both numbers and list the highest common factor.
The factors of 2901 are 1, 3, 967, 2901
The factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336
The HCF of 2901,6336 is 3.
Lets's calculate GCF of 2901,6336
| 3 | 2901, 6336 |
| 967, 2112 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2901,6336 By Matching Biggest Common Factor Method
Now, list down the factors of 2901
:1,3,967,2901
Now, list down the factors of 6336
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336
Greatest Common Factor
We found the factors 2901,6336 . The biggest common factor number is the GCF number.
So the greatest common factor 2901,6336 is 3.
Lets's calculate LCM of 239,4104
Given numbers has no common factors except 1. So, there LCM is their product i.e 980856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/980856
Therefore, the GCF of Fractions 2901/239,6336/4104 is 3/980856
Least Common Multiple of 239,4104 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 239,4104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,4104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,4104) x common factors =1 x 1 = 1
LCM(239,4104) = ( 239 × 4104 ) / 1
LCM(239,4104) = 980856 / 1
LCM(239,4104) = 980856
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FAQs on GCF of Fractions of 2901/239, 6336/4104
1. What is the HCF of 2901,6336?
The HCF of 2901,6336 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 2901/239, 6336/4104?
Answer: GCF of Numerators as per given numbers 2901/239, 6336/4104 is
GCF of Numerators i.e. for 2901,6336 is 3
LCM of denominators i.e. for 239,4104 is 980856.
Thus, GCF of Fractions is 3/980856.Finally, GCF of Fractions for 2901/239, 6336/4104 is 3/980856.