GCF of 2359/828, 5606/7003
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2359/828, 5606/7003 i.e 1/5798484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2359/828, 5606/7003.
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 2359/828,5606/7003?
Given fractions are 2359/828,5606/7003
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 2359/828,5606/7003, numerators are 2359,5606
Denominators are 828,7003
The GCF of 2359,5606 is 1 .
LCM of 828,7003 is 5798484.
The greatest common factor of 2359/828,5606/7003 = [GCF of 2359,5606]/[LCM of 828,7003]= 1/5798484
Therefore, the GCF of 2359/828,5606/7003 is 1/5798484.
To find the highest common factor of 2359,5606, we have to find the factors of both numbers and list the highest common factor.
The factors of 2359 are 1, 7, 337, 2359
The factors of 5606 are 1, 2, 2803, 5606
The HCF of 2359,5606 is 1.
Lets's calculate GCF of 2359,5606
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2359,5606 By Matching Biggest Common Factor Method
Now, list down the factors of 2359
:1,7,337,2359
Now, list down the factors of 5606
:1,2,2803,5606
Greatest Common Factor
We found the factors 2359,5606 . The biggest common factor number is the GCF number.
So the greatest common factor 2359,5606 is 1.
Lets's calculate LCM of 828,7003
Given numbers has no common factors except 1. So, there LCM is their product i.e 5798484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5798484
Therefore, the GCF of Fractions 2359/828,5606/7003 is 1/5798484
Least Common Multiple of 828,7003 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 828,7003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,7003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,7003) x common factors =1 x 1 = 1
LCM(828,7003) = ( 828 × 7003 ) / 1
LCM(828,7003) = 5798484 / 1
LCM(828,7003) = 5798484
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FAQs on GCF of Fractions of 2359/828, 5606/7003
1. What is the HCF of 2359,5606?
The HCF of 2359,5606 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 2359/828, 5606/7003?
Answer: GCF of Numerators as per given numbers 2359/828, 5606/7003 is
GCF of Numerators i.e. for 2359,5606 is 1
LCM of denominators i.e. for 828,7003 is 5798484.
Thus, GCF of Fractions is 1/5798484.Finally, GCF of Fractions for 2359/828, 5606/7003 is 1/5798484.