GCF of 9193/564, 1434/1057
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9193/564, 1434/1057 i.e 1/596148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9193/564, 1434/1057.
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 9193/564,1434/1057?
Given fractions are 9193/564,1434/1057
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 9193/564,1434/1057, numerators are 9193,1434
Denominators are 564,1057
The GCF of 9193,1434 is 1 .
LCM of 564,1057 is 596148.
The greatest common factor of 9193/564,1434/1057 = [GCF of 9193,1434]/[LCM of 564,1057]= 1/596148
Therefore, the GCF of 9193/564,1434/1057 is 1/596148.
To find the highest common factor of 9193,1434, we have to find the factors of both numbers and list the highest common factor.
The factors of 9193 are 1, 29, 317, 9193
The factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434
The HCF of 9193,1434 is 1.
Lets's calculate GCF of 9193,1434
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9193,1434 By Matching Biggest Common Factor Method
Now, list down the factors of 9193
:1,29,317,9193
Now, list down the factors of 1434
:1,2,3,6,239,478,717,1434
Greatest Common Factor
We found the factors 9193,1434 . The biggest common factor number is the GCF number.
So the greatest common factor 9193,1434 is 1.
Lets's calculate LCM of 564,1057
Given numbers has no common factors except 1. So, there LCM is their product i.e 596148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596148
Therefore, the GCF of Fractions 9193/564,1434/1057 is 1/596148
Least Common Multiple of 564,1057 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 564,1057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,1057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,1057) x common factors =1 x 1 = 1
LCM(564,1057) = ( 564 × 1057 ) / 1
LCM(564,1057) = 596148 / 1
LCM(564,1057) = 596148
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FAQs on GCF of Fractions of 9193/564, 1434/1057
1. What is the HCF of 9193,1434?
The HCF of 9193,1434 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 9193/564, 1434/1057?
Answer: GCF of Numerators as per given numbers 9193/564, 1434/1057 is
GCF of Numerators i.e. for 9193,1434 is 1
LCM of denominators i.e. for 564,1057 is 596148.
Thus, GCF of Fractions is 1/596148.Finally, GCF of Fractions for 9193/564, 1434/1057 is 1/596148.