GCF of 2976/223, 8988/484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2976/223, 8988/484 i.e 12/107932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2976/223, 8988/484.
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 2976/223,8988/484?
Given fractions are 2976/223,8988/484
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 2976/223,8988/484, numerators are 2976,8988
Denominators are 223,484
The GCF of 2976,8988 is 12 .
LCM of 223,484 is 107932.
The greatest common factor of 2976/223,8988/484 = [GCF of 2976,8988]/[LCM of 223,484]= 12/107932
Therefore, the GCF of 2976/223,8988/484 is 12/107932.
To find the highest common factor of 2976,8988, we have to find the factors of both numbers and list the highest common factor.
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976
The factors of 8988 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988
The HCF of 2976,8988 is 12.
Lets's calculate GCF of 2976,8988
| 2 | 2976, 8988 |
| 2 | 1488, 4494 |
| 3 | 744, 2247 |
| 248, 749 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2976,8988 By Matching Biggest Common Factor Method
Now, list down the factors of 2976
:1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Now, list down the factors of 8988
:1,2,3,4,6,7,12,14,21,28,42,84,107,214,321,428,642,749,1284,1498,2247,2996,4494,8988
Greatest Common Factor
We found the factors 2976,8988 . The biggest common factor number is the GCF number.
So the greatest common factor 2976,8988 is 12.
Lets's calculate LCM of 223,484
Given numbers has no common factors except 1. So, there LCM is their product i.e 107932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/107932
Therefore, the GCF of Fractions 2976/223,8988/484 is 12/107932
Least Common Multiple of 223,484 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 223,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,484) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,484) x common factors =1 x 1 = 1
LCM(223,484) = ( 223 × 484 ) / 1
LCM(223,484) = 107932 / 1
LCM(223,484) = 107932
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FAQs on GCF of Fractions of 2976/223, 8988/484
1. What is the HCF of 2976,8988?
The HCF of 2976,8988 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 2976/223, 8988/484?
Answer: GCF of Numerators as per given numbers 2976/223, 8988/484 is
GCF of Numerators i.e. for 2976,8988 is 12
LCM of denominators i.e. for 223,484 is 107932.
Thus, GCF of Fractions is 12/107932.Finally, GCF of Fractions for 2976/223, 8988/484 is 12/107932.