GCF of 7953/675, 8359/6999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7953/675, 8359/6999 i.e 1/1574775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7953/675, 8359/6999.
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 7953/675,8359/6999?
Given fractions are 7953/675,8359/6999
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 7953/675,8359/6999, numerators are 7953,8359
Denominators are 675,6999
The GCF of 7953,8359 is 1 .
LCM of 675,6999 is 1574775.
The greatest common factor of 7953/675,8359/6999 = [GCF of 7953,8359]/[LCM of 675,6999]= 1/1574775
Therefore, the GCF of 7953/675,8359/6999 is 1/1574775.
To find the highest common factor of 7953,8359, we have to find the factors of both numbers and list the highest common factor.
The factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953
The factors of 8359 are 1, 13, 643, 8359
The HCF of 7953,8359 is 1.
Lets's calculate GCF of 7953,8359
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7953,8359 By Matching Biggest Common Factor Method
Now, list down the factors of 7953
:1,3,11,33,241,723,2651,7953
Now, list down the factors of 8359
:1,13,643,8359
Greatest Common Factor
We found the factors 7953,8359 . The biggest common factor number is the GCF number.
So the greatest common factor 7953,8359 is 1.
Lets's calculate LCM of 675,6999
| 3 | 675, 6999 |
| 225, 2333 |
∴ So the LCM of the given numbers is 3 x 225 x 2333 = 1574775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1574775
Therefore, the GCF of Fractions 7953/675,8359/6999 is 1/1574775
Least Common Multiple of 675,6999 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 675,6999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,6999) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(675,6999) x common factors =3 x 1 = 3
LCM(675,6999) = ( 675 × 6999 ) / 3
LCM(675,6999) = 4724325 / 3
LCM(675,6999) = 1574775
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FAQs on GCF of Fractions of 7953/675, 8359/6999
1. What is the HCF of 7953,8359?
The HCF of 7953,8359 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 7953/675, 8359/6999?
Answer: GCF of Numerators as per given numbers 7953/675, 8359/6999 is
GCF of Numerators i.e. for 7953,8359 is 1
LCM of denominators i.e. for 675,6999 is 1574775.
Thus, GCF of Fractions is 1/1574775.Finally, GCF of Fractions for 7953/675, 8359/6999 is 1/1574775.