GCF of 7019/768, 7462/2156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7019/768, 7462/2156 i.e 1/413952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7019/768, 7462/2156.
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 7019/768,7462/2156?
Given fractions are 7019/768,7462/2156
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 7019/768,7462/2156, numerators are 7019,7462
Denominators are 768,2156
The GCF of 7019,7462 is 1 .
LCM of 768,2156 is 413952.
The greatest common factor of 7019/768,7462/2156 = [GCF of 7019,7462]/[LCM of 768,2156]= 1/413952
Therefore, the GCF of 7019/768,7462/2156 is 1/413952.
To find the highest common factor of 7019,7462, we have to find the factors of both numbers and list the highest common factor.
The factors of 7019 are 1, 7019
The factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462
The HCF of 7019,7462 is 1.
Lets's calculate GCF of 7019,7462
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7019,7462 By Matching Biggest Common Factor Method
Now, list down the factors of 7019
:1,7019
Now, list down the factors of 7462
:1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462
Greatest Common Factor
We found the factors 7019,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 7019,7462 is 1.
Lets's calculate LCM of 768,2156
| 2 | 768, 2156 |
| 2 | 384, 1078 |
| 192, 539 |
∴ So the LCM of the given numbers is 2 x 2 x 192 x 539 = 413952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413952
Therefore, the GCF of Fractions 7019/768,7462/2156 is 1/413952
Least Common Multiple of 768,2156 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 768,2156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,2156) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(768,2156) x common factors =4 x 1 = 4
LCM(768,2156) = ( 768 × 2156 ) / 4
LCM(768,2156) = 1655808 / 4
LCM(768,2156) = 413952
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FAQs on GCF of Fractions of 7019/768, 7462/2156
1. What is the HCF of 7019,7462?
The HCF of 7019,7462 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 7019/768, 7462/2156?
Answer: GCF of Numerators as per given numbers 7019/768, 7462/2156 is
GCF of Numerators i.e. for 7019,7462 is 1
LCM of denominators i.e. for 768,2156 is 413952.
Thus, GCF of Fractions is 1/413952.Finally, GCF of Fractions for 7019/768, 7462/2156 is 1/413952.