GCF of 7483/302, 7202/470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7483/302, 7202/470 i.e 1/70970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7483/302, 7202/470.
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 7483/302,7202/470?
Given fractions are 7483/302,7202/470
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 7483/302,7202/470, numerators are 7483,7202
Denominators are 302,470
The GCF of 7483,7202 is 1 .
LCM of 302,470 is 70970.
The greatest common factor of 7483/302,7202/470 = [GCF of 7483,7202]/[LCM of 302,470]= 1/70970
Therefore, the GCF of 7483/302,7202/470 is 1/70970.
To find the highest common factor of 7483,7202, we have to find the factors of both numbers and list the highest common factor.
The factors of 7483 are 1, 7, 1069, 7483
The factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202
The HCF of 7483,7202 is 1.
Lets's calculate GCF of 7483,7202
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7483,7202 By Matching Biggest Common Factor Method
Now, list down the factors of 7483
:1,7,1069,7483
Now, list down the factors of 7202
:1,2,13,26,277,554,3601,7202
Greatest Common Factor
We found the factors 7483,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 7483,7202 is 1.
Lets's calculate LCM of 302,470
| 2 | 302, 470 |
| 151, 235 |
∴ So the LCM of the given numbers is 2 x 151 x 235 = 70970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70970
Therefore, the GCF of Fractions 7483/302,7202/470 is 1/70970
Least Common Multiple of 302,470 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 302,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,470) x common factors =2 x 1 = 2
LCM(302,470) = ( 302 × 470 ) / 2
LCM(302,470) = 141940 / 2
LCM(302,470) = 70970
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FAQs on GCF of Fractions of 7483/302, 7202/470
1. What is the HCF of 7483,7202?
The HCF of 7483,7202 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 7483/302, 7202/470?
Answer: GCF of Numerators as per given numbers 7483/302, 7202/470 is
GCF of Numerators i.e. for 7483,7202 is 1
LCM of denominators i.e. for 302,470 is 70970.
Thus, GCF of Fractions is 1/70970.Finally, GCF of Fractions for 7483/302, 7202/470 is 1/70970.