GCF of 4046/905, 5103/7345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4046/905, 5103/7345 i.e 7/1329445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4046/905, 5103/7345.
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 4046/905,5103/7345?
Given fractions are 4046/905,5103/7345
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 4046/905,5103/7345, numerators are 4046,5103
Denominators are 905,7345
The GCF of 4046,5103 is 7 .
LCM of 905,7345 is 1329445.
The greatest common factor of 4046/905,5103/7345 = [GCF of 4046,5103]/[LCM of 905,7345]= 7/1329445
Therefore, the GCF of 4046/905,5103/7345 is 7/1329445.
To find the highest common factor of 4046,5103, we have to find the factors of both numbers and list the highest common factor.
The factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046
The factors of 5103 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 729, 1701, 5103
The HCF of 4046,5103 is 7.
Lets's calculate GCF of 4046,5103
| 7 | 4046, 5103 |
| 578, 729 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4046,5103 By Matching Biggest Common Factor Method
Now, list down the factors of 4046
:1,2,7,14,17,34,119,238,289,578,2023,4046
Now, list down the factors of 5103
:1,3,7,9,21,27,63,81,189,243,567,729,1701,5103
Greatest Common Factor
We found the factors 4046,5103 . The biggest common factor number is the GCF number.
So the greatest common factor 4046,5103 is 7.
Lets's calculate LCM of 905,7345
| 5 | 905, 7345 |
| 181, 1469 |
∴ So the LCM of the given numbers is 5 x 181 x 1469 = 1329445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1329445
Therefore, the GCF of Fractions 4046/905,5103/7345 is 7/1329445
Least Common Multiple of 905,7345 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 905,7345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,7345) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(905,7345) x common factors =5 x 1 = 5
LCM(905,7345) = ( 905 × 7345 ) / 5
LCM(905,7345) = 6647225 / 5
LCM(905,7345) = 1329445
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FAQs on GCF of Fractions of 4046/905, 5103/7345
1. What is the HCF of 4046,5103?
The HCF of 4046,5103 is 7
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 4046/905, 5103/7345?
Answer: GCF of Numerators as per given numbers 4046/905, 5103/7345 is
GCF of Numerators i.e. for 4046,5103 is 7
LCM of denominators i.e. for 905,7345 is 1329445.
Thus, GCF of Fractions is 7/1329445.Finally, GCF of Fractions for 4046/905, 5103/7345 is 7/1329445.