GCF of 889/767, 728/100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 889/767, 728/100 i.e 7/76700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 889/767, 728/100.
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 889/767,728/100?
Given fractions are 889/767,728/100
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 889/767,728/100, numerators are 889,728
Denominators are 767,100
The GCF of 889,728 is 7 .
LCM of 767,100 is 76700.
The greatest common factor of 889/767,728/100 = [GCF of 889,728]/[LCM of 767,100]= 7/76700
Therefore, the GCF of 889/767,728/100 is 7/76700.
To find the highest common factor of 889,728, 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 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 889,728 is 7.
Lets's calculate GCF of 889,728
| 7 | 889, 728 |
| 127, 104 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 889,728 By Matching Biggest Common Factor Method
Now, list down the factors of 889
:1,7,127,889
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 889,728 . The biggest common factor number is the GCF number.
So the greatest common factor 889,728 is 7.
Lets's calculate LCM of 767,100
Given numbers has no common factors except 1. So, there LCM is their product i.e 76700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/76700
Therefore, the GCF of Fractions 889/767,728/100 is 7/76700
Least Common Multiple of 767,100 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 767,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,100) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,100) x common factors =1 x 1 = 1
LCM(767,100) = ( 767 × 100 ) / 1
LCM(767,100) = 76700 / 1
LCM(767,100) = 76700
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FAQs on GCF of Fractions of 889/767, 728/100
1. What is the HCF of 889,728?
The HCF of 889,728 is 7
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 889/767, 728/100?
Answer: GCF of Numerators as per given numbers 889/767, 728/100 is
GCF of Numerators i.e. for 889,728 is 7
LCM of denominators i.e. for 767,100 is 76700.
Thus, GCF of Fractions is 7/76700.Finally, GCF of Fractions for 889/767, 728/100 is 7/76700.