GCF of 2928/966, 8664/2978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2928/966, 8664/2978 i.e 24/1438374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2928/966, 8664/2978.
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 2928/966,8664/2978?
Given fractions are 2928/966,8664/2978
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 2928/966,8664/2978, numerators are 2928,8664
Denominators are 966,2978
The GCF of 2928,8664 is 24 .
LCM of 966,2978 is 1438374.
The greatest common factor of 2928/966,8664/2978 = [GCF of 2928,8664]/[LCM of 966,2978]= 24/1438374
Therefore, the GCF of 2928/966,8664/2978 is 24/1438374.
To find the highest common factor of 2928,8664, we have to find the factors of both numbers and list the highest common factor.
The factors of 2928 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464, 2928
The factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664
The HCF of 2928,8664 is 24.
Lets's calculate GCF of 2928,8664
| 2 | 2928, 8664 |
| 2 | 1464, 4332 |
| 2 | 732, 2166 |
| 3 | 366, 1083 |
| 122, 361 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 2928,8664 By Matching Biggest Common Factor Method
Now, list down the factors of 2928
:1,2,3,4,6,8,12,16,24,48,61,122,183,244,366,488,732,976,1464,2928
Now, list down the factors of 8664
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Greatest Common Factor
We found the factors 2928,8664 . The biggest common factor number is the GCF number.
So the greatest common factor 2928,8664 is 24.
Lets's calculate LCM of 966,2978
| 2 | 966, 2978 |
| 483, 1489 |
∴ So the LCM of the given numbers is 2 x 483 x 1489 = 1438374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/1438374
Therefore, the GCF of Fractions 2928/966,8664/2978 is 24/1438374
Least Common Multiple of 966,2978 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 966,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,2978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,2978) x common factors =2 x 1 = 2
LCM(966,2978) = ( 966 × 2978 ) / 2
LCM(966,2978) = 2876748 / 2
LCM(966,2978) = 1438374
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FAQs on GCF of Fractions of 2928/966, 8664/2978
1. What is the HCF of 2928,8664?
The HCF of 2928,8664 is 24
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 2928/966, 8664/2978?
Answer: GCF of Numerators as per given numbers 2928/966, 8664/2978 is
GCF of Numerators i.e. for 2928,8664 is 24
LCM of denominators i.e. for 966,2978 is 1438374.
Thus, GCF of Fractions is 24/1438374.Finally, GCF of Fractions for 2928/966, 8664/2978 is 24/1438374.