GCF of 7130/160, 4029/3529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7130/160, 4029/3529 i.e 1/564640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7130/160, 4029/3529.
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 7130/160,4029/3529?
Given fractions are 7130/160,4029/3529
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 7130/160,4029/3529, numerators are 7130,4029
Denominators are 160,3529
The GCF of 7130,4029 is 1 .
LCM of 160,3529 is 564640.
The greatest common factor of 7130/160,4029/3529 = [GCF of 7130,4029]/[LCM of 160,3529]= 1/564640
Therefore, the GCF of 7130/160,4029/3529 is 1/564640.
To find the highest common factor of 7130,4029, we have to find the factors of both numbers and list the highest common factor.
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The HCF of 7130,4029 is 1.
Lets's calculate GCF of 7130,4029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7130,4029 By Matching Biggest Common Factor Method
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Greatest Common Factor
We found the factors 7130,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 7130,4029 is 1.
Lets's calculate LCM of 160,3529
Given numbers has no common factors except 1. So, there LCM is their product i.e 564640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564640
Therefore, the GCF of Fractions 7130/160,4029/3529 is 1/564640
Least Common Multiple of 160,3529 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 160,3529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,3529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,3529) x common factors =1 x 1 = 1
LCM(160,3529) = ( 160 × 3529 ) / 1
LCM(160,3529) = 564640 / 1
LCM(160,3529) = 564640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7130/160, 4029/3529
1. What is the HCF of 7130,4029?
The HCF of 7130,4029 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 7130/160, 4029/3529?
Answer: GCF of Numerators as per given numbers 7130/160, 4029/3529 is
GCF of Numerators i.e. for 7130,4029 is 1
LCM of denominators i.e. for 160,3529 is 564640.
Thus, GCF of Fractions is 1/564640.Finally, GCF of Fractions for 7130/160, 4029/3529 is 1/564640.