GCF of 2232/820, 9640/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2232/820, 9640/669 i.e 8/548580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2232/820, 9640/669.
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 2232/820,9640/669?
Given fractions are 2232/820,9640/669
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 2232/820,9640/669, numerators are 2232,9640
Denominators are 820,669
The GCF of 2232,9640 is 8 .
LCM of 820,669 is 548580.
The greatest common factor of 2232/820,9640/669 = [GCF of 2232,9640]/[LCM of 820,669]= 8/548580
Therefore, the GCF of 2232/820,9640/669 is 8/548580.
To find the highest common factor of 2232,9640, we have to find the factors of both numbers and list the highest common factor.
The factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232
The factors of 9640 are 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640
The HCF of 2232,9640 is 8.
Lets's calculate GCF of 2232,9640
| 2 | 2232, 9640 |
| 2 | 1116, 4820 |
| 2 | 558, 2410 |
| 279, 1205 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2232,9640 By Matching Biggest Common Factor Method
Now, list down the factors of 2232
:1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232
Now, list down the factors of 9640
:1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640
Greatest Common Factor
We found the factors 2232,9640 . The biggest common factor number is the GCF number.
So the greatest common factor 2232,9640 is 8.
Lets's calculate LCM of 820,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 548580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/548580
Therefore, the GCF of Fractions 2232/820,9640/669 is 8/548580
Least Common Multiple of 820,669 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 820,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,669) x common factors =1 x 1 = 1
LCM(820,669) = ( 820 × 669 ) / 1
LCM(820,669) = 548580 / 1
LCM(820,669) = 548580
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FAQs on GCF of Fractions of 2232/820, 9640/669
1. What is the HCF of 2232,9640?
The HCF of 2232,9640 is 8
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 2232/820, 9640/669?
Answer: GCF of Numerators as per given numbers 2232/820, 9640/669 is
GCF of Numerators i.e. for 2232,9640 is 8
LCM of denominators i.e. for 820,669 is 548580.
Thus, GCF of Fractions is 8/548580.Finally, GCF of Fractions for 2232/820, 9640/669 is 8/548580.