GCF of 5596/465, 7009/5419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5596/465, 7009/5419 i.e 1/2519835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5596/465, 7009/5419.
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 5596/465,7009/5419?
Given fractions are 5596/465,7009/5419
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 5596/465,7009/5419, numerators are 5596,7009
Denominators are 465,5419
The GCF of 5596,7009 is 1 .
LCM of 465,5419 is 2519835.
The greatest common factor of 5596/465,7009/5419 = [GCF of 5596,7009]/[LCM of 465,5419]= 1/2519835
Therefore, the GCF of 5596/465,7009/5419 is 1/2519835.
To find the highest common factor of 5596,7009, we have to find the factors of both numbers and list the highest common factor.
The factors of 5596 are 1, 2, 4, 1399, 2798, 5596
The factors of 7009 are 1, 43, 163, 7009
The HCF of 5596,7009 is 1.
Lets's calculate GCF of 5596,7009
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5596,7009 By Matching Biggest Common Factor Method
Now, list down the factors of 5596
:1,2,4,1399,2798,5596
Now, list down the factors of 7009
:1,43,163,7009
Greatest Common Factor
We found the factors 5596,7009 . The biggest common factor number is the GCF number.
So the greatest common factor 5596,7009 is 1.
Lets's calculate LCM of 465,5419
Given numbers has no common factors except 1. So, there LCM is their product i.e 2519835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2519835
Therefore, the GCF of Fractions 5596/465,7009/5419 is 1/2519835
Least Common Multiple of 465,5419 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 465,5419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,5419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,5419) x common factors =1 x 1 = 1
LCM(465,5419) = ( 465 × 5419 ) / 1
LCM(465,5419) = 2519835 / 1
LCM(465,5419) = 2519835
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FAQs on GCF of Fractions of 5596/465, 7009/5419
1. What is the HCF of 5596,7009?
The HCF of 5596,7009 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 5596/465, 7009/5419?
Answer: GCF of Numerators as per given numbers 5596/465, 7009/5419 is
GCF of Numerators i.e. for 5596,7009 is 1
LCM of denominators i.e. for 465,5419 is 2519835.
Thus, GCF of Fractions is 1/2519835.Finally, GCF of Fractions for 5596/465, 7009/5419 is 1/2519835.