GCF of 703/71, 589/179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 703/71, 589/179 i.e 19/12709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 703/71, 589/179.
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 703/71,589/179?
Given fractions are 703/71,589/179
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 703/71,589/179, numerators are 703,589
Denominators are 71,179
The GCF of 703,589 is 19 .
LCM of 71,179 is 12709.
The greatest common factor of 703/71,589/179 = [GCF of 703,589]/[LCM of 71,179]= 19/12709
Therefore, the GCF of 703/71,589/179 is 19/12709.
To find the highest common factor of 703,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 703 are 1, 19, 37, 703
The factors of 589 are 1, 19, 31, 589
The HCF of 703,589 is 19.
Lets's calculate GCF of 703,589
| 19 | 703, 589 |
| 37, 31 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 703,589 By Matching Biggest Common Factor Method
Now, list down the factors of 703
:1,19,37,703
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 703,589 . The biggest common factor number is the GCF number.
So the greatest common factor 703,589 is 19.
Lets's calculate LCM of 71,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 12709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/12709
Therefore, the GCF of Fractions 703/71,589/179 is 19/12709
Least Common Multiple of 71,179 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 71,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,179) x common factors =1 x 1 = 1
LCM(71,179) = ( 71 × 179 ) / 1
LCM(71,179) = 12709 / 1
LCM(71,179) = 12709
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FAQs on GCF of Fractions of 703/71, 589/179
1. What is the HCF of 703,589?
The HCF of 703,589 is 19
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 703/71, 589/179?
Answer: GCF of Numerators as per given numbers 703/71, 589/179 is
GCF of Numerators i.e. for 703,589 is 19
LCM of denominators i.e. for 71,179 is 12709.
Thus, GCF of Fractions is 19/12709.Finally, GCF of Fractions for 703/71, 589/179 is 19/12709.