GCF of 9960/520, 1764/5648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9960/520, 1764/5648 i.e 12/367120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9960/520, 1764/5648.
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 9960/520,1764/5648?
Given fractions are 9960/520,1764/5648
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 9960/520,1764/5648, numerators are 9960,1764
Denominators are 520,5648
The GCF of 9960,1764 is 12 .
LCM of 520,5648 is 367120.
The greatest common factor of 9960/520,1764/5648 = [GCF of 9960,1764]/[LCM of 520,5648]= 12/367120
Therefore, the GCF of 9960/520,1764/5648 is 12/367120.
To find the highest common factor of 9960,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 9960,1764 is 12.
Lets's calculate GCF of 9960,1764
| 2 | 9960, 1764 |
| 2 | 4980, 882 |
| 3 | 2490, 441 |
| 830, 147 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9960,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 9960
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 9960,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 9960,1764 is 12.
Lets's calculate LCM of 520,5648
| 2 | 520, 5648 |
| 2 | 260, 2824 |
| 2 | 130, 1412 |
| 65, 706 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 706 = 367120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/367120
Therefore, the GCF of Fractions 9960/520,1764/5648 is 12/367120
Least Common Multiple of 520,5648 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 520,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,5648) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(520,5648) x common factors =8 x 1 = 8
LCM(520,5648) = ( 520 × 5648 ) / 8
LCM(520,5648) = 2936960 / 8
LCM(520,5648) = 367120
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FAQs on GCF of Fractions of 9960/520, 1764/5648
1. What is the HCF of 9960,1764?
The HCF of 9960,1764 is 12
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 9960/520, 1764/5648?
Answer: GCF of Numerators as per given numbers 9960/520, 1764/5648 is
GCF of Numerators i.e. for 9960,1764 is 12
LCM of denominators i.e. for 520,5648 is 367120.
Thus, GCF of Fractions is 12/367120.Finally, GCF of Fractions for 9960/520, 1764/5648 is 12/367120.