GCF of 7123/709, 1320/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7123/709, 1320/558 i.e 1/395622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7123/709, 1320/558.
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 7123/709,1320/558?
Given fractions are 7123/709,1320/558
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 7123/709,1320/558, numerators are 7123,1320
Denominators are 709,558
The GCF of 7123,1320 is 1 .
LCM of 709,558 is 395622.
The greatest common factor of 7123/709,1320/558 = [GCF of 7123,1320]/[LCM of 709,558]= 1/395622
Therefore, the GCF of 7123/709,1320/558 is 1/395622.
To find the highest common factor of 7123,1320, we have to find the factors of both numbers and list the highest common factor.
The factors of 7123 are 1, 17, 419, 7123
The factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320
The HCF of 7123,1320 is 1.
Lets's calculate GCF of 7123,1320
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7123,1320 By Matching Biggest Common Factor Method
Now, list down the factors of 7123
:1,17,419,7123
Now, list down the factors of 1320
:1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320
Greatest Common Factor
We found the factors 7123,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 7123,1320 is 1.
Lets's calculate LCM of 709,558
Given numbers has no common factors except 1. So, there LCM is their product i.e 395622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/395622
Therefore, the GCF of Fractions 7123/709,1320/558 is 1/395622
Least Common Multiple of 709,558 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 709,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,558) x common factors =1 x 1 = 1
LCM(709,558) = ( 709 × 558 ) / 1
LCM(709,558) = 395622 / 1
LCM(709,558) = 395622
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FAQs on GCF of Fractions of 7123/709, 1320/558
1. What is the HCF of 7123,1320?
The HCF of 7123,1320 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 7123/709, 1320/558?
Answer: GCF of Numerators as per given numbers 7123/709, 1320/558 is
GCF of Numerators i.e. for 7123,1320 is 1
LCM of denominators i.e. for 709,558 is 395622.
Thus, GCF of Fractions is 1/395622.Finally, GCF of Fractions for 7123/709, 1320/558 is 1/395622.