GCF of 2352/101, 1608/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2352/101, 1608/962 i.e 24/97162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2352/101, 1608/962.
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 2352/101,1608/962?
Given fractions are 2352/101,1608/962
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 2352/101,1608/962, numerators are 2352,1608
Denominators are 101,962
The GCF of 2352,1608 is 24 .
LCM of 101,962 is 97162.
The greatest common factor of 2352/101,1608/962 = [GCF of 2352,1608]/[LCM of 101,962]= 24/97162
Therefore, the GCF of 2352/101,1608/962 is 24/97162.
To find the highest common factor of 2352,1608, 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 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
The HCF of 2352,1608 is 24.
Lets's calculate GCF of 2352,1608
| 2 | 2352, 1608 |
| 2 | 1176, 804 |
| 2 | 588, 402 |
| 3 | 294, 201 |
| 98, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 2352,1608 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 1608
:1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608
Greatest Common Factor
We found the factors 2352,1608 . The biggest common factor number is the GCF number.
So the greatest common factor 2352,1608 is 24.
Lets's calculate LCM of 101,962
Given numbers has no common factors except 1. So, there LCM is their product i.e 97162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/97162
Therefore, the GCF of Fractions 2352/101,1608/962 is 24/97162
Least Common Multiple of 101,962 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 101,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,962) x common factors =1 x 1 = 1
LCM(101,962) = ( 101 × 962 ) / 1
LCM(101,962) = 97162 / 1
LCM(101,962) = 97162
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FAQs on GCF of Fractions of 2352/101, 1608/962
1. What is the HCF of 2352,1608?
The HCF of 2352,1608 is 24
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 2352/101, 1608/962?
Answer: GCF of Numerators as per given numbers 2352/101, 1608/962 is
GCF of Numerators i.e. for 2352,1608 is 24
LCM of denominators i.e. for 101,962 is 97162.
Thus, GCF of Fractions is 24/97162.Finally, GCF of Fractions for 2352/101, 1608/962 is 24/97162.