GCF of 7719/510, 7184/7377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7719/510, 7184/7377 i.e 1/1254090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7719/510, 7184/7377.
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 7719/510,7184/7377?
Given fractions are 7719/510,7184/7377
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 7719/510,7184/7377, numerators are 7719,7184
Denominators are 510,7377
The GCF of 7719,7184 is 1 .
LCM of 510,7377 is 1254090.
The greatest common factor of 7719/510,7184/7377 = [GCF of 7719,7184]/[LCM of 510,7377]= 1/1254090
Therefore, the GCF of 7719/510,7184/7377 is 1/1254090.
To find the highest common factor of 7719,7184, we have to find the factors of both numbers and list the highest common factor.
The factors of 7719 are 1, 3, 31, 83, 93, 249, 2573, 7719
The factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184
The HCF of 7719,7184 is 1.
Lets's calculate GCF of 7719,7184
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7719,7184 By Matching Biggest Common Factor Method
Now, list down the factors of 7719
:1,3,31,83,93,249,2573,7719
Now, list down the factors of 7184
:1,2,4,8,16,449,898,1796,3592,7184
Greatest Common Factor
We found the factors 7719,7184 . The biggest common factor number is the GCF number.
So the greatest common factor 7719,7184 is 1.
Lets's calculate LCM of 510,7377
| 3 | 510, 7377 |
| 170, 2459 |
∴ So the LCM of the given numbers is 3 x 170 x 2459 = 1254090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1254090
Therefore, the GCF of Fractions 7719/510,7184/7377 is 1/1254090
Least Common Multiple of 510,7377 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 510,7377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,7377) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(510,7377) x common factors =3 x 1 = 3
LCM(510,7377) = ( 510 × 7377 ) / 3
LCM(510,7377) = 3762270 / 3
LCM(510,7377) = 1254090
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FAQs on GCF of Fractions of 7719/510, 7184/7377
1. What is the HCF of 7719,7184?
The HCF of 7719,7184 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 7719/510, 7184/7377?
Answer: GCF of Numerators as per given numbers 7719/510, 7184/7377 is
GCF of Numerators i.e. for 7719,7184 is 1
LCM of denominators i.e. for 510,7377 is 1254090.
Thus, GCF of Fractions is 1/1254090.Finally, GCF of Fractions for 7719/510, 7184/7377 is 1/1254090.