GCF of 5722/689, 5609/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5722/689, 5609/134 i.e 1/92326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5722/689, 5609/134.
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 5722/689,5609/134?
Given fractions are 5722/689,5609/134
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 5722/689,5609/134, numerators are 5722,5609
Denominators are 689,134
The GCF of 5722,5609 is 1 .
LCM of 689,134 is 92326.
The greatest common factor of 5722/689,5609/134 = [GCF of 5722,5609]/[LCM of 689,134]= 1/92326
Therefore, the GCF of 5722/689,5609/134 is 1/92326.
To find the highest common factor of 5722,5609, we have to find the factors of both numbers and list the highest common factor.
The factors of 5722 are 1, 2, 2861, 5722
The factors of 5609 are 1, 71, 79, 5609
The HCF of 5722,5609 is 1.
Lets's calculate GCF of 5722,5609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5722,5609 By Matching Biggest Common Factor Method
Now, list down the factors of 5722
:1,2,2861,5722
Now, list down the factors of 5609
:1,71,79,5609
Greatest Common Factor
We found the factors 5722,5609 . The biggest common factor number is the GCF number.
So the greatest common factor 5722,5609 is 1.
Lets's calculate LCM of 689,134
Given numbers has no common factors except 1. So, there LCM is their product i.e 92326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92326
Therefore, the GCF of Fractions 5722/689,5609/134 is 1/92326
Least Common Multiple of 689,134 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 689,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,134) x common factors =1 x 1 = 1
LCM(689,134) = ( 689 × 134 ) / 1
LCM(689,134) = 92326 / 1
LCM(689,134) = 92326
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FAQs on GCF of Fractions of 5722/689, 5609/134
1. What is the HCF of 5722,5609?
The HCF of 5722,5609 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 5722/689, 5609/134?
Answer: GCF of Numerators as per given numbers 5722/689, 5609/134 is
GCF of Numerators i.e. for 5722,5609 is 1
LCM of denominators i.e. for 689,134 is 92326.
Thus, GCF of Fractions is 1/92326.Finally, GCF of Fractions for 5722/689, 5609/134 is 1/92326.