GCF of 64/99, 917/19, 749/290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 64/99, 917/19, 749/290 i.e 1/545490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/99, 917/19, 749/290.
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 64/99,917/19,749/290?
Given fractions are 64/99,917/19,749/290
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 64/99,917/19,749/290, numerators are 64,917,749
Denominators are 99,19,290
The GCF of 64,917,749 is 1 .
LCM of 99,19,290 is 545490.
The greatest common factor of 64/99,917/19,749/290 = [GCF of 64,917,749]/[LCM of 99,19,290]= 1/545490
Therefore, the GCF of 64/99,917/19,749/290 is 1/545490.
To find the highest common factor of 64,917,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 917 are 1, 7, 131, 917
The factors of 749 are 1, 7, 107, 749
The HCF of 64,917,749 is 1.
Lets's calculate GCF of 64,917,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 64,917,749 By Matching Biggest Common Factor Method
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 917
:1,7,131,917
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 64,917,749 . The biggest common factor number is the GCF number.
So the greatest common factor 64,917,749 is 1.
Lets's calculate LCM of 99,19,290
Given numbers has no common factors except 1. So, there LCM is their product i.e 545490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/545490
Therefore, the GCF of Fractions 64/99,917/19,749/290 is 1/545490
Least Common Multiple of 99,19,290 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 99,19,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,19,290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,19,290) x common factors =1 x 1 = 1
LCM(99,19,290) = ( 99 × 19 × 290 ) / 1
LCM(99,19,290) = 545490 / 1
LCM(99,19,290) = 545490
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FAQs on GCF of Fractions of 64/99, 917/19, 749/290
1. What is the HCF of 64,917,749?
The HCF of 64,917,749 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 64/99, 917/19, 749/290?
Answer: GCF of Numerators as per given numbers 64/99, 917/19, 749/290 is
GCF of Numerators i.e. for 64,917,749 is 1
LCM of denominators i.e. for 99,19,290 is 545490.
Thus, GCF of Fractions is 1/545490.Finally, GCF of Fractions for 64/99, 917/19, 749/290 is 1/545490.