GCF of 97/584, 88/775, 915/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/584, 88/775, 915/927 i.e 1/419560200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/584, 88/775, 915/927.
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 97/584,88/775,915/927?
Given fractions are 97/584,88/775,915/927
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 97/584,88/775,915/927, numerators are 97,88,915
Denominators are 584,775,927
The GCF of 97,88,915 is 1 .
LCM of 584,775,927 is 419560200.
The greatest common factor of 97/584,88/775,915/927 = [GCF of 97,88,915]/[LCM of 584,775,927]= 1/419560200
Therefore, the GCF of 97/584,88/775,915/927 is 1/419560200.
To find the highest common factor of 97,88,915, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The HCF of 97,88,915 is 1.
Lets's calculate GCF of 97,88,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,88,915 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 97,88,915 . The biggest common factor number is the GCF number.
So the greatest common factor 97,88,915 is 1.
Lets's calculate LCM of 584,775,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 419560200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419560200
Therefore, the GCF of Fractions 97/584,88/775,915/927 is 1/419560200
Least Common Multiple of 584,775,927 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 584,775,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,775,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,775,927) x common factors =1 x 1 = 1
LCM(584,775,927) = ( 584 × 775 × 927 ) / 1
LCM(584,775,927) = 419560200 / 1
LCM(584,775,927) = 419560200
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FAQs on GCF of Fractions of 97/584, 88/775, 915/927
1. What is the HCF of 97,88,915?
The HCF of 97,88,915 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 97/584, 88/775, 915/927?
Answer: GCF of Numerators as per given numbers 97/584, 88/775, 915/927 is
GCF of Numerators i.e. for 97,88,915 is 1
LCM of denominators i.e. for 584,775,927 is 419560200.
Thus, GCF of Fractions is 1/419560200.Finally, GCF of Fractions for 97/584, 88/775, 915/927 is 1/419560200.