GCF of 5107/492, 1451/9735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5107/492, 1451/9735 i.e 1/1596540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5107/492, 1451/9735.
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 5107/492,1451/9735?
Given fractions are 5107/492,1451/9735
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 5107/492,1451/9735, numerators are 5107,1451
Denominators are 492,9735
The GCF of 5107,1451 is 1 .
LCM of 492,9735 is 1596540.
The greatest common factor of 5107/492,1451/9735 = [GCF of 5107,1451]/[LCM of 492,9735]= 1/1596540
Therefore, the GCF of 5107/492,1451/9735 is 1/1596540.
To find the highest common factor of 5107,1451, we have to find the factors of both numbers and list the highest common factor.
The factors of 5107 are 1, 5107
The factors of 1451 are 1, 1451
The HCF of 5107,1451 is 1.
Lets's calculate GCF of 5107,1451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5107,1451 By Matching Biggest Common Factor Method
Now, list down the factors of 5107
:1,5107
Now, list down the factors of 1451
:1,1451
Greatest Common Factor
We found the factors 5107,1451 . The biggest common factor number is the GCF number.
So the greatest common factor 5107,1451 is 1.
Lets's calculate LCM of 492,9735
| 3 | 492, 9735 |
| 164, 3245 |
∴ So the LCM of the given numbers is 3 x 164 x 3245 = 1596540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1596540
Therefore, the GCF of Fractions 5107/492,1451/9735 is 1/1596540
Least Common Multiple of 492,9735 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 492,9735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,9735) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(492,9735) x common factors =3 x 1 = 3
LCM(492,9735) = ( 492 × 9735 ) / 3
LCM(492,9735) = 4789620 / 3
LCM(492,9735) = 1596540
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FAQs on GCF of Fractions of 5107/492, 1451/9735
1. What is the HCF of 5107,1451?
The HCF of 5107,1451 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 5107/492, 1451/9735?
Answer: GCF of Numerators as per given numbers 5107/492, 1451/9735 is
GCF of Numerators i.e. for 5107,1451 is 1
LCM of denominators i.e. for 492,9735 is 1596540.
Thus, GCF of Fractions is 1/1596540.Finally, GCF of Fractions for 5107/492, 1451/9735 is 1/1596540.