GCF of 10/168, 2064/9382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 10/168, 2064/9382 i.e 2/788088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/168, 2064/9382.
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 10/168,2064/9382?
Given fractions are 10/168,2064/9382
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 10/168,2064/9382, numerators are 10,2064
Denominators are 168,9382
The GCF of 10,2064 is 2 .
LCM of 168,9382 is 788088.
The greatest common factor of 10/168,2064/9382 = [GCF of 10,2064]/[LCM of 168,9382]= 2/788088
Therefore, the GCF of 10/168,2064/9382 is 2/788088.
To find the highest common factor of 10,2064, we have to find the factors of both numbers and list the highest common factor.
The factors of 10 are 1, 2, 5, 10
The factors of 2064 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064
The HCF of 10,2064 is 2.
Lets's calculate GCF of 10,2064
| 2 | 10, 2064 |
| 5, 1032 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 10,2064 By Matching Biggest Common Factor Method
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 2064
:1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064
Greatest Common Factor
We found the factors 10,2064 . The biggest common factor number is the GCF number.
So the greatest common factor 10,2064 is 2.
Lets's calculate LCM of 168,9382
| 2 | 168, 9382 |
| 84, 4691 |
∴ So the LCM of the given numbers is 2 x 84 x 4691 = 788088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/788088
Therefore, the GCF of Fractions 10/168,2064/9382 is 2/788088
Least Common Multiple of 168,9382 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 168,9382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,9382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,9382) x common factors =2 x 1 = 2
LCM(168,9382) = ( 168 × 9382 ) / 2
LCM(168,9382) = 1576176 / 2
LCM(168,9382) = 788088
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FAQs on GCF of Fractions of 10/168, 2064/9382
1. What is the HCF of 10,2064?
The HCF of 10,2064 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 10/168, 2064/9382?
Answer: GCF of Numerators as per given numbers 10/168, 2064/9382 is
GCF of Numerators i.e. for 10,2064 is 2
LCM of denominators i.e. for 168,9382 is 788088.
Thus, GCF of Fractions is 2/788088.Finally, GCF of Fractions for 10/168, 2064/9382 is 2/788088.