GCF of 7329/670, 7346/880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7329/670, 7346/880 i.e 1/58960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7329/670, 7346/880.
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 7329/670,7346/880?
Given fractions are 7329/670,7346/880
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 7329/670,7346/880, numerators are 7329,7346
Denominators are 670,880
The GCF of 7329,7346 is 1 .
LCM of 670,880 is 58960.
The greatest common factor of 7329/670,7346/880 = [GCF of 7329,7346]/[LCM of 670,880]= 1/58960
Therefore, the GCF of 7329/670,7346/880 is 1/58960.
To find the highest common factor of 7329,7346, we have to find the factors of both numbers and list the highest common factor.
The factors of 7329 are 1, 3, 7, 21, 349, 1047, 2443, 7329
The factors of 7346 are 1, 2, 3673, 7346
The HCF of 7329,7346 is 1.
Lets's calculate GCF of 7329,7346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7329,7346 By Matching Biggest Common Factor Method
Now, list down the factors of 7329
:1,3,7,21,349,1047,2443,7329
Now, list down the factors of 7346
:1,2,3673,7346
Greatest Common Factor
We found the factors 7329,7346 . The biggest common factor number is the GCF number.
So the greatest common factor 7329,7346 is 1.
Lets's calculate LCM of 670,880
| 2 | 670, 880 |
| 5 | 335, 440 |
| 67, 88 |
∴ So the LCM of the given numbers is 2 x 5 x 67 x 88 = 58960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58960
Therefore, the GCF of Fractions 7329/670,7346/880 is 1/58960
Least Common Multiple of 670,880 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 670,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,880) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(670,880) x common factors =10 x 1 = 10
LCM(670,880) = ( 670 × 880 ) / 10
LCM(670,880) = 589600 / 10
LCM(670,880) = 58960
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FAQs on GCF of Fractions of 7329/670, 7346/880
1. What is the HCF of 7329,7346?
The HCF of 7329,7346 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 7329/670, 7346/880?
Answer: GCF of Numerators as per given numbers 7329/670, 7346/880 is
GCF of Numerators i.e. for 7329,7346 is 1
LCM of denominators i.e. for 670,880 is 58960.
Thus, GCF of Fractions is 1/58960.Finally, GCF of Fractions for 7329/670, 7346/880 is 1/58960.