GCF of 612/277, 8976/521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 612/277, 8976/521 i.e 204/144317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 612/277, 8976/521.
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 612/277,8976/521?
Given fractions are 612/277,8976/521
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 612/277,8976/521, numerators are 612,8976
Denominators are 277,521
The GCF of 612,8976 is 204 .
LCM of 277,521 is 144317.
The greatest common factor of 612/277,8976/521 = [GCF of 612,8976]/[LCM of 277,521]= 204/144317
Therefore, the GCF of 612/277,8976/521 is 204/144317.
To find the highest common factor of 612,8976, we have to find the factors of both numbers and list the highest common factor.
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
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 HCF of 612,8976 is 204.
Lets's calculate GCF of 612,8976
| 2 | 612, 8976 |
| 2 | 306, 4488 |
| 3 | 153, 2244 |
| 17 | 51, 748 |
| 3, 44 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 17 = 204
Greatest Common Factor of 612,8976 By Matching Biggest Common Factor Method
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
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
Greatest Common Factor
We found the factors 612,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 612,8976 is 204.
Lets's calculate LCM of 277,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 144317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 204/144317
Therefore, the GCF of Fractions 612/277,8976/521 is 204/144317
Least Common Multiple of 277,521 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 277,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,521) x common factors =1 x 1 = 1
LCM(277,521) = ( 277 × 521 ) / 1
LCM(277,521) = 144317 / 1
LCM(277,521) = 144317
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FAQs on GCF of Fractions of 612/277, 8976/521
1. What is the HCF of 612,8976?
The HCF of 612,8976 is 204
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 612/277, 8976/521?
Answer: GCF of Numerators as per given numbers 612/277, 8976/521 is
GCF of Numerators i.e. for 612,8976 is 204
LCM of denominators i.e. for 277,521 is 144317.
Thus, GCF of Fractions is 204/144317.Finally, GCF of Fractions for 612/277, 8976/521 is 204/144317.