GCF of 889/678, 768/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 889/678, 768/369 i.e 1/83394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 889/678, 768/369.
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 889/678,768/369?
Given fractions are 889/678,768/369
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 889/678,768/369, numerators are 889,768
Denominators are 678,369
The GCF of 889,768 is 1 .
LCM of 678,369 is 83394.
The greatest common factor of 889/678,768/369 = [GCF of 889,768]/[LCM of 678,369]= 1/83394
Therefore, the GCF of 889/678,768/369 is 1/83394.
To find the highest common factor of 889,768, we have to find the factors of both numbers and list the highest common factor.
The factors of 889 are 1, 7, 127, 889
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The HCF of 889,768 is 1.
Lets's calculate GCF of 889,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 889,768 By Matching Biggest Common Factor Method
Now, list down the factors of 889
:1,7,127,889
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 889,768 . The biggest common factor number is the GCF number.
So the greatest common factor 889,768 is 1.
Lets's calculate LCM of 678,369
| 3 | 678, 369 |
| 226, 123 |
∴ So the LCM of the given numbers is 3 x 226 x 123 = 83394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83394
Therefore, the GCF of Fractions 889/678,768/369 is 1/83394
Least Common Multiple of 678,369 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 678,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,369) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(678,369) x common factors =3 x 1 = 3
LCM(678,369) = ( 678 × 369 ) / 3
LCM(678,369) = 250182 / 3
LCM(678,369) = 83394
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FAQs on GCF of Fractions of 889/678, 768/369
1. What is the HCF of 889,768?
The HCF of 889,768 is 1
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 889/678, 768/369?
Answer: GCF of Numerators as per given numbers 889/678, 768/369 is
GCF of Numerators i.e. for 889,768 is 1
LCM of denominators i.e. for 678,369 is 83394.
Thus, GCF of Fractions is 1/83394.Finally, GCF of Fractions for 889/678, 768/369 is 1/83394.