GCF of 28/979, 82/965, 672/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/979, 82/965, 672/474 i.e 2/447804390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/979, 82/965, 672/474.
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 28/979,82/965,672/474?
Given fractions are 28/979,82/965,672/474
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 28/979,82/965,672/474, numerators are 28,82,672
Denominators are 979,965,474
The GCF of 28,82,672 is 2 .
LCM of 979,965,474 is 447804390.
The greatest common factor of 28/979,82/965,672/474 = [GCF of 28,82,672]/[LCM of 979,965,474]= 2/447804390
Therefore, the GCF of 28/979,82/965,672/474 is 2/447804390.
To find the highest common factor of 28,82,672, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 82 are 1, 2, 41, 82
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The HCF of 28,82,672 is 2.
Lets's calculate GCF of 28,82,672
| 2 | 28, 82, 672 |
| 14, 41, 336 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 28,82,672 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 28,82,672 . The biggest common factor number is the GCF number.
So the greatest common factor 28,82,672 is 2.
Lets's calculate LCM of 979,965,474
Given numbers has no common factors except 1. So, there LCM is their product i.e 447804390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/447804390
Therefore, the GCF of Fractions 28/979,82/965,672/474 is 2/447804390
Least Common Multiple of 979,965,474 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 979,965,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,965,474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,965,474) x common factors =1 x 1 = 1
LCM(979,965,474) = ( 979 × 965 × 474 ) / 1
LCM(979,965,474) = 447804390 / 1
LCM(979,965,474) = 447804390
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FAQs on GCF of Fractions of 28/979, 82/965, 672/474
1. What is the HCF of 28,82,672?
The HCF of 28,82,672 is 2
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 28/979, 82/965, 672/474?
Answer: GCF of Numerators as per given numbers 28/979, 82/965, 672/474 is
GCF of Numerators i.e. for 28,82,672 is 2
LCM of denominators i.e. for 979,965,474 is 447804390.
Thus, GCF of Fractions is 2/447804390.Finally, GCF of Fractions for 28/979, 82/965, 672/474 is 2/447804390.