GCF of 7260/670, 1003/3629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7260/670, 1003/3629 i.e 1/2431430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7260/670, 1003/3629.
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 7260/670,1003/3629?
Given fractions are 7260/670,1003/3629
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 7260/670,1003/3629, numerators are 7260,1003
Denominators are 670,3629
The GCF of 7260,1003 is 1 .
LCM of 670,3629 is 2431430.
The greatest common factor of 7260/670,1003/3629 = [GCF of 7260,1003]/[LCM of 670,3629]= 1/2431430
Therefore, the GCF of 7260/670,1003/3629 is 1/2431430.
To find the highest common factor of 7260,1003, we have to find the factors of both numbers and list the highest common factor.
The factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260
The factors of 1003 are 1, 17, 59, 1003
The HCF of 7260,1003 is 1.
Lets's calculate GCF of 7260,1003
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7260,1003 By Matching Biggest Common Factor Method
Now, list down the factors of 7260
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260
Now, list down the factors of 1003
:1,17,59,1003
Greatest Common Factor
We found the factors 7260,1003 . The biggest common factor number is the GCF number.
So the greatest common factor 7260,1003 is 1.
Lets's calculate LCM of 670,3629
Given numbers has no common factors except 1. So, there LCM is their product i.e 2431430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2431430
Therefore, the GCF of Fractions 7260/670,1003/3629 is 1/2431430
Least Common Multiple of 670,3629 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 670,3629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,3629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(670,3629) x common factors =1 x 1 = 1
LCM(670,3629) = ( 670 × 3629 ) / 1
LCM(670,3629) = 2431430 / 1
LCM(670,3629) = 2431430
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FAQs on GCF of Fractions of 7260/670, 1003/3629
1. What is the HCF of 7260,1003?
The HCF of 7260,1003 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 7260/670, 1003/3629?
Answer: GCF of Numerators as per given numbers 7260/670, 1003/3629 is
GCF of Numerators i.e. for 7260,1003 is 1
LCM of denominators i.e. for 670,3629 is 2431430.
Thus, GCF of Fractions is 1/2431430.Finally, GCF of Fractions for 7260/670, 1003/3629 is 1/2431430.