GCF of 1887/667, 6528/799
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1887/667, 6528/799 i.e 51/532933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1887/667, 6528/799.
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 1887/667,6528/799?
Given fractions are 1887/667,6528/799
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 1887/667,6528/799, numerators are 1887,6528
Denominators are 667,799
The GCF of 1887,6528 is 51 .
LCM of 667,799 is 532933.
The greatest common factor of 1887/667,6528/799 = [GCF of 1887,6528]/[LCM of 667,799]= 51/532933
Therefore, the GCF of 1887/667,6528/799 is 51/532933.
To find the highest common factor of 1887,6528, we have to find the factors of both numbers and list the highest common factor.
The factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887
The factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528
The HCF of 1887,6528 is 51.
Lets's calculate GCF of 1887,6528
| 3 | 1887, 6528 |
| 17 | 629, 2176 |
| 37, 128 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 1887,6528 By Matching Biggest Common Factor Method
Now, list down the factors of 1887
:1,3,17,37,51,111,629,1887
Now, list down the factors of 6528
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Greatest Common Factor
We found the factors 1887,6528 . The biggest common factor number is the GCF number.
So the greatest common factor 1887,6528 is 51.
Lets's calculate LCM of 667,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 532933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/532933
Therefore, the GCF of Fractions 1887/667,6528/799 is 51/532933
Least Common Multiple of 667,799 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 667,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,799) x common factors =1 x 1 = 1
LCM(667,799) = ( 667 × 799 ) / 1
LCM(667,799) = 532933 / 1
LCM(667,799) = 532933
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FAQs on GCF of Fractions of 1887/667, 6528/799
1. What is the HCF of 1887,6528?
The HCF of 1887,6528 is 51
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 1887/667, 6528/799?
Answer: GCF of Numerators as per given numbers 1887/667, 6528/799 is
GCF of Numerators i.e. for 1887,6528 is 51
LCM of denominators i.e. for 667,799 is 532933.
Thus, GCF of Fractions is 51/532933.Finally, GCF of Fractions for 1887/667, 6528/799 is 51/532933.