GCF of 28/591, 87/419, 955/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/591, 87/419, 955/757 i.e 1/187455153 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/591, 87/419, 955/757.
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 28/591,87/419,955/757?
Given fractions are 28/591,87/419,955/757
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 28/591,87/419,955/757, numerators are 28,87,955
Denominators are 591,419,757
The GCF of 28,87,955 is 1 .
LCM of 591,419,757 is 187455153.
The greatest common factor of 28/591,87/419,955/757 = [GCF of 28,87,955]/[LCM of 591,419,757]= 1/187455153
Therefore, the GCF of 28/591,87/419,955/757 is 1/187455153.
To find the highest common factor of 28,87,955, 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 87 are 1, 3, 29, 87
The factors of 955 are 1, 5, 191, 955
The HCF of 28,87,955 is 1.
Lets's calculate GCF of 28,87,955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,87,955 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 87
:1,3,29,87
Now, list down the factors of 955
:1,5,191,955
Greatest Common Factor
We found the factors 28,87,955 . The biggest common factor number is the GCF number.
So the greatest common factor 28,87,955 is 1.
Lets's calculate LCM of 591,419,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 187455153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187455153
Therefore, the GCF of Fractions 28/591,87/419,955/757 is 1/187455153
Least Common Multiple of 591,419,757 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 591,419,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,419,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,419,757) x common factors =1 x 1 = 1
LCM(591,419,757) = ( 591 × 419 × 757 ) / 1
LCM(591,419,757) = 187455153 / 1
LCM(591,419,757) = 187455153
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FAQs on GCF of Fractions of 28/591, 87/419, 955/757
1. What is the HCF of 28,87,955?
The HCF of 28,87,955 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 28/591, 87/419, 955/757?
Answer: GCF of Numerators as per given numbers 28/591, 87/419, 955/757 is
GCF of Numerators i.e. for 28,87,955 is 1
LCM of denominators i.e. for 591,419,757 is 187455153.
Thus, GCF of Fractions is 1/187455153.Finally, GCF of Fractions for 28/591, 87/419, 955/757 is 1/187455153.