GCF of 7303/903, 7675/5166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7303/903, 7675/5166 i.e 1/222138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7303/903, 7675/5166.
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 7303/903,7675/5166?
Given fractions are 7303/903,7675/5166
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 7303/903,7675/5166, numerators are 7303,7675
Denominators are 903,5166
The GCF of 7303,7675 is 1 .
LCM of 903,5166 is 222138.
The greatest common factor of 7303/903,7675/5166 = [GCF of 7303,7675]/[LCM of 903,5166]= 1/222138
Therefore, the GCF of 7303/903,7675/5166 is 1/222138.
To find the highest common factor of 7303,7675, we have to find the factors of both numbers and list the highest common factor.
The factors of 7303 are 1, 67, 109, 7303
The factors of 7675 are 1, 5, 25, 307, 1535, 7675
The HCF of 7303,7675 is 1.
Lets's calculate GCF of 7303,7675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7303,7675 By Matching Biggest Common Factor Method
Now, list down the factors of 7303
:1,67,109,7303
Now, list down the factors of 7675
:1,5,25,307,1535,7675
Greatest Common Factor
We found the factors 7303,7675 . The biggest common factor number is the GCF number.
So the greatest common factor 7303,7675 is 1.
Lets's calculate LCM of 903,5166
| 3 | 903, 5166 |
| 7 | 301, 1722 |
| 43, 246 |
∴ So the LCM of the given numbers is 3 x 7 x 43 x 246 = 222138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222138
Therefore, the GCF of Fractions 7303/903,7675/5166 is 1/222138
Least Common Multiple of 903,5166 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 903,5166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,5166) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(903,5166) x common factors =21 x 1 = 21
LCM(903,5166) = ( 903 × 5166 ) / 21
LCM(903,5166) = 4664898 / 21
LCM(903,5166) = 222138
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FAQs on GCF of Fractions of 7303/903, 7675/5166
1. What is the HCF of 7303,7675?
The HCF of 7303,7675 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 7303/903, 7675/5166?
Answer: GCF of Numerators as per given numbers 7303/903, 7675/5166 is
GCF of Numerators i.e. for 7303,7675 is 1
LCM of denominators i.e. for 903,5166 is 222138.
Thus, GCF of Fractions is 1/222138.Finally, GCF of Fractions for 7303/903, 7675/5166 is 1/222138.