GCF of 8976/77, 7128/673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8976/77, 7128/673 i.e 264/51821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8976/77, 7128/673.
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 8976/77,7128/673?
Given fractions are 8976/77,7128/673
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 8976/77,7128/673, numerators are 8976,7128
Denominators are 77,673
The GCF of 8976,7128 is 264 .
LCM of 77,673 is 51821.
The greatest common factor of 8976/77,7128/673 = [GCF of 8976,7128]/[LCM of 77,673]= 264/51821
Therefore, the GCF of 8976/77,7128/673 is 264/51821.
To find the highest common factor of 8976,7128, we have to find the factors of both numbers and list the highest common factor.
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The factors of 7128 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128
The HCF of 8976,7128 is 264.
Lets's calculate GCF of 8976,7128
| 2 | 8976, 7128 |
| 2 | 4488, 3564 |
| 2 | 2244, 1782 |
| 3 | 1122, 891 |
| 11 | 374, 297 |
| 34, 27 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 11 = 264
Greatest Common Factor of 8976,7128 By Matching Biggest Common Factor Method
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Now, list down the factors of 7128
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128
Greatest Common Factor
We found the factors 8976,7128 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,7128 is 264.
Lets's calculate LCM of 77,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 51821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 264/51821
Therefore, the GCF of Fractions 8976/77,7128/673 is 264/51821
Least Common Multiple of 77,673 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 77,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,673) x common factors =1 x 1 = 1
LCM(77,673) = ( 77 × 673 ) / 1
LCM(77,673) = 51821 / 1
LCM(77,673) = 51821
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FAQs on GCF of Fractions of 8976/77, 7128/673
1. What is the HCF of 8976,7128?
The HCF of 8976,7128 is 264
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 8976/77, 7128/673?
Answer: GCF of Numerators as per given numbers 8976/77, 7128/673 is
GCF of Numerators i.e. for 8976,7128 is 264
LCM of denominators i.e. for 77,673 is 51821.
Thus, GCF of Fractions is 264/51821.Finally, GCF of Fractions for 8976/77, 7128/673 is 264/51821.