GCF of 2352/320, 3167/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2352/320, 3167/320 i.e 1/320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2352/320, 3167/320.
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 2352/320,3167/320?
Given fractions are 2352/320,3167/320
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 2352/320,3167/320, numerators are 2352,3167
Denominators are 320,320
The GCF of 2352,3167 is 1 .
LCM of 320,320 is 320.
The greatest common factor of 2352/320,3167/320 = [GCF of 2352,3167]/[LCM of 320,320]= 1/320
Therefore, the GCF of 2352/320,3167/320 is 1/320.
To find the highest common factor of 2352,3167, we have to find the factors of both numbers and list the highest common factor.
The factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352
The factors of 3167 are 1, 3167
The HCF of 2352,3167 is 1.
Lets's calculate GCF of 2352,3167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2352,3167 By Matching Biggest Common Factor Method
Now, list down the factors of 2352
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,49,56,84,98,112,147,168,196,294,336,392,588,784,1176,2352
Now, list down the factors of 3167
:1,3167
Greatest Common Factor
We found the factors 2352,3167 . The biggest common factor number is the GCF number.
So the greatest common factor 2352,3167 is 1.
Lets's calculate LCM of 320,320
| 2 | 320, 320 |
| 2 | 160, 160 |
| 2 | 80, 80 |
| 2 | 40, 40 |
| 2 | 20, 20 |
| 2 | 10, 10 |
| 5 | 5, 5 |
| 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 1 x 1 = 320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320
Therefore, the GCF of Fractions 2352/320,3167/320 is 1/320
Least Common Multiple of 320,320 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 320,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,320) = 320
common factors(in case of two or more numbers have common factors) = 1
GCF(320,320) x common factors =320 x 1 = 320
LCM(320,320) = ( 320 × 320 ) / 320
LCM(320,320) = 102400 / 320
LCM(320,320) = 320
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FAQs on GCF of Fractions of 2352/320, 3167/320
1. What is the HCF of 2352,3167?
The HCF of 2352,3167 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 2352/320, 3167/320?
Answer: GCF of Numerators as per given numbers 2352/320, 3167/320 is
GCF of Numerators i.e. for 2352,3167 is 1
LCM of denominators i.e. for 320,320 is 320.
Thus, GCF of Fractions is 1/320.Finally, GCF of Fractions for 2352/320, 3167/320 is 1/320.