GCF of 7729/889, 1529/7854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7729/889, 1529/7854 i.e 1/997458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7729/889, 1529/7854.
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 7729/889,1529/7854?
Given fractions are 7729/889,1529/7854
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 7729/889,1529/7854, numerators are 7729,1529
Denominators are 889,7854
The GCF of 7729,1529 is 1 .
LCM of 889,7854 is 997458.
The greatest common factor of 7729/889,1529/7854 = [GCF of 7729,1529]/[LCM of 889,7854]= 1/997458
Therefore, the GCF of 7729/889,1529/7854 is 1/997458.
To find the highest common factor of 7729,1529, we have to find the factors of both numbers and list the highest common factor.
The factors of 7729 are 1, 59, 131, 7729
The factors of 1529 are 1, 11, 139, 1529
The HCF of 7729,1529 is 1.
Lets's calculate GCF of 7729,1529
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7729,1529 By Matching Biggest Common Factor Method
Now, list down the factors of 7729
:1,59,131,7729
Now, list down the factors of 1529
:1,11,139,1529
Greatest Common Factor
We found the factors 7729,1529 . The biggest common factor number is the GCF number.
So the greatest common factor 7729,1529 is 1.
Lets's calculate LCM of 889,7854
| 7 | 889, 7854 |
| 127, 1122 |
∴ So the LCM of the given numbers is 7 x 127 x 1122 = 997458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/997458
Therefore, the GCF of Fractions 7729/889,1529/7854 is 1/997458
Least Common Multiple of 889,7854 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 889,7854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,7854) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(889,7854) x common factors =7 x 1 = 7
LCM(889,7854) = ( 889 × 7854 ) / 7
LCM(889,7854) = 6982206 / 7
LCM(889,7854) = 997458
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7729/889, 1529/7854
1. What is the HCF of 7729,1529?
The HCF of 7729,1529 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 7729/889, 1529/7854?
Answer: GCF of Numerators as per given numbers 7729/889, 1529/7854 is
GCF of Numerators i.e. for 7729,1529 is 1
LCM of denominators i.e. for 889,7854 is 997458.
Thus, GCF of Fractions is 1/997458.Finally, GCF of Fractions for 7729/889, 1529/7854 is 1/997458.