GCF of 679/345, 291/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 679/345, 291/750 i.e 97/17250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 679/345, 291/750.
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 679/345,291/750?
Given fractions are 679/345,291/750
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 679/345,291/750, numerators are 679,291
Denominators are 345,750
The GCF of 679,291 is 97 .
LCM of 345,750 is 17250.
The greatest common factor of 679/345,291/750 = [GCF of 679,291]/[LCM of 345,750]= 97/17250
Therefore, the GCF of 679/345,291/750 is 97/17250.
To find the highest common factor of 679,291, we have to find the factors of both numbers and list the highest common factor.
The factors of 679 are 1, 7, 97, 679
The factors of 291 are 1, 3, 97, 291
The HCF of 679,291 is 97.
Lets's calculate GCF of 679,291
| 97 | 679, 291 |
| 7, 3 |
∴ So the GCF of the given numbers is 97 = 97
Greatest Common Factor of 679,291 By Matching Biggest Common Factor Method
Now, list down the factors of 679
:1,7,97,679
Now, list down the factors of 291
:1,3,97,291
Greatest Common Factor
We found the factors 679,291 . The biggest common factor number is the GCF number.
So the greatest common factor 679,291 is 97.
Lets's calculate LCM of 345,750
| 3 | 345, 750 |
| 5 | 115, 250 |
| 23, 50 |
∴ So the LCM of the given numbers is 3 x 5 x 23 x 50 = 17250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/17250
Therefore, the GCF of Fractions 679/345,291/750 is 97/17250
Least Common Multiple of 345,750 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 345,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,750) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(345,750) x common factors =15 x 1 = 15
LCM(345,750) = ( 345 × 750 ) / 15
LCM(345,750) = 258750 / 15
LCM(345,750) = 17250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 679/345, 291/750
1. What is the HCF of 679,291?
The HCF of 679,291 is 97
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 679/345, 291/750?
Answer: GCF of Numerators as per given numbers 679/345, 291/750 is
GCF of Numerators i.e. for 679,291 is 97
LCM of denominators i.e. for 345,750 is 17250.
Thus, GCF of Fractions is 97/17250.Finally, GCF of Fractions for 679/345, 291/750 is 97/17250.