GCF of 2344/159, 4302/3120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2344/159, 4302/3120 i.e 2/165360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2344/159, 4302/3120.
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 2344/159,4302/3120?
Given fractions are 2344/159,4302/3120
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 2344/159,4302/3120, numerators are 2344,4302
Denominators are 159,3120
The GCF of 2344,4302 is 2 .
LCM of 159,3120 is 165360.
The greatest common factor of 2344/159,4302/3120 = [GCF of 2344,4302]/[LCM of 159,3120]= 2/165360
Therefore, the GCF of 2344/159,4302/3120 is 2/165360.
To find the highest common factor of 2344,4302, we have to find the factors of both numbers and list the highest common factor.
The factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344
The factors of 4302 are 1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151, 4302
The HCF of 2344,4302 is 2.
Lets's calculate GCF of 2344,4302
| 2 | 2344, 4302 |
| 1172, 2151 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2344,4302 By Matching Biggest Common Factor Method
Now, list down the factors of 2344
:1,2,4,8,293,586,1172,2344
Now, list down the factors of 4302
:1,2,3,6,9,18,239,478,717,1434,2151,4302
Greatest Common Factor
We found the factors 2344,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 2344,4302 is 2.
Lets's calculate LCM of 159,3120
| 3 | 159, 3120 |
| 53, 1040 |
∴ So the LCM of the given numbers is 3 x 53 x 1040 = 165360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165360
Therefore, the GCF of Fractions 2344/159,4302/3120 is 2/165360
Least Common Multiple of 159,3120 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 159,3120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,3120) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,3120) x common factors =3 x 1 = 3
LCM(159,3120) = ( 159 × 3120 ) / 3
LCM(159,3120) = 496080 / 3
LCM(159,3120) = 165360
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FAQs on GCF of Fractions of 2344/159, 4302/3120
1. What is the HCF of 2344,4302?
The HCF of 2344,4302 is 2
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 2344/159, 4302/3120?
Answer: GCF of Numerators as per given numbers 2344/159, 4302/3120 is
GCF of Numerators i.e. for 2344,4302 is 2
LCM of denominators i.e. for 159,3120 is 165360.
Thus, GCF of Fractions is 2/165360.Finally, GCF of Fractions for 2344/159, 4302/3120 is 2/165360.