GCF of 9726/154, 3672/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9726/154, 3672/960 i.e 6/73920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9726/154, 3672/960.
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 9726/154,3672/960?
Given fractions are 9726/154,3672/960
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 9726/154,3672/960, numerators are 9726,3672
Denominators are 154,960
The GCF of 9726,3672 is 6 .
LCM of 154,960 is 73920.
The greatest common factor of 9726/154,3672/960 = [GCF of 9726,3672]/[LCM of 154,960]= 6/73920
Therefore, the GCF of 9726/154,3672/960 is 6/73920.
To find the highest common factor of 9726,3672, we have to find the factors of both numbers and list the highest common factor.
The factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726
The factors of 3672 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672
The HCF of 9726,3672 is 6.
Lets's calculate GCF of 9726,3672
| 2 | 9726, 3672 |
| 3 | 4863, 1836 |
| 1621, 612 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9726,3672 By Matching Biggest Common Factor Method
Now, list down the factors of 9726
:1,2,3,6,1621,3242,4863,9726
Now, list down the factors of 3672
:1,2,3,4,6,8,9,12,17,18,24,27,34,36,51,54,68,72,102,108,136,153,204,216,306,408,459,612,918,1224,1836,3672
Greatest Common Factor
We found the factors 9726,3672 . The biggest common factor number is the GCF number.
So the greatest common factor 9726,3672 is 6.
Lets's calculate LCM of 154,960
| 2 | 154, 960 |
| 77, 480 |
∴ So the LCM of the given numbers is 2 x 77 x 480 = 73920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/73920
Therefore, the GCF of Fractions 9726/154,3672/960 is 6/73920
Least Common Multiple of 154,960 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 154,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,960) x common factors =2 x 1 = 2
LCM(154,960) = ( 154 × 960 ) / 2
LCM(154,960) = 147840 / 2
LCM(154,960) = 73920
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FAQs on GCF of Fractions of 9726/154, 3672/960
1. What is the HCF of 9726,3672?
The HCF of 9726,3672 is 6
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 9726/154, 3672/960?
Answer: GCF of Numerators as per given numbers 9726/154, 3672/960 is
GCF of Numerators i.e. for 9726,3672 is 6
LCM of denominators i.e. for 154,960 is 73920.
Thus, GCF of Fractions is 6/73920.Finally, GCF of Fractions for 9726/154, 3672/960 is 6/73920.