GCF of 899/173, 942/653, 117/395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 899/173, 942/653, 117/395 i.e 1/44622755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/173, 942/653, 117/395.
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 899/173,942/653,117/395?
Given fractions are 899/173,942/653,117/395
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 899/173,942/653,117/395, numerators are 899,942,117
Denominators are 173,653,395
The GCF of 899,942,117 is 1 .
LCM of 173,653,395 is 44622755.
The greatest common factor of 899/173,942/653,117/395 = [GCF of 899,942,117]/[LCM of 173,653,395]= 1/44622755
Therefore, the GCF of 899/173,942/653,117/395 is 1/44622755.
To find the highest common factor of 899,942,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 899 are 1, 29, 31, 899
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 899,942,117 is 1.
Lets's calculate GCF of 899,942,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 899,942,117 By Matching Biggest Common Factor Method
Now, list down the factors of 899
:1,29,31,899
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 899,942,117 . The biggest common factor number is the GCF number.
So the greatest common factor 899,942,117 is 1.
Lets's calculate LCM of 173,653,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 44622755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44622755
Therefore, the GCF of Fractions 899/173,942/653,117/395 is 1/44622755
Least Common Multiple of 173,653,395 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 173,653,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,653,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,653,395) x common factors =1 x 1 = 1
LCM(173,653,395) = ( 173 × 653 × 395 ) / 1
LCM(173,653,395) = 44622755 / 1
LCM(173,653,395) = 44622755
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 899/173, 942/653, 117/395
1. What is the HCF of 899,942,117?
The HCF of 899,942,117 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 899/173, 942/653, 117/395?
Answer: GCF of Numerators as per given numbers 899/173, 942/653, 117/395 is
GCF of Numerators i.e. for 899,942,117 is 1
LCM of denominators i.e. for 173,653,395 is 44622755.
Thus, GCF of Fractions is 1/44622755.Finally, GCF of Fractions for 899/173, 942/653, 117/395 is 1/44622755.