GCF of 3442/734, 1059/1080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3442/734, 1059/1080 i.e 1/396360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3442/734, 1059/1080.
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 3442/734,1059/1080?
Given fractions are 3442/734,1059/1080
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 3442/734,1059/1080, numerators are 3442,1059
Denominators are 734,1080
The GCF of 3442,1059 is 1 .
LCM of 734,1080 is 396360.
The greatest common factor of 3442/734,1059/1080 = [GCF of 3442,1059]/[LCM of 734,1080]= 1/396360
Therefore, the GCF of 3442/734,1059/1080 is 1/396360.
To find the highest common factor of 3442,1059, we have to find the factors of both numbers and list the highest common factor.
The factors of 3442 are 1, 2, 1721, 3442
The factors of 1059 are 1, 3, 353, 1059
The HCF of 3442,1059 is 1.
Lets's calculate GCF of 3442,1059
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3442,1059 By Matching Biggest Common Factor Method
Now, list down the factors of 3442
:1,2,1721,3442
Now, list down the factors of 1059
:1,3,353,1059
Greatest Common Factor
We found the factors 3442,1059 . The biggest common factor number is the GCF number.
So the greatest common factor 3442,1059 is 1.
Lets's calculate LCM of 734,1080
| 2 | 734, 1080 |
| 367, 540 |
∴ So the LCM of the given numbers is 2 x 367 x 540 = 396360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/396360
Therefore, the GCF of Fractions 3442/734,1059/1080 is 1/396360
Least Common Multiple of 734,1080 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 734,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,1080) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,1080) x common factors =2 x 1 = 2
LCM(734,1080) = ( 734 × 1080 ) / 2
LCM(734,1080) = 792720 / 2
LCM(734,1080) = 396360
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FAQs on GCF of Fractions of 3442/734, 1059/1080
1. What is the HCF of 3442,1059?
The HCF of 3442,1059 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 3442/734, 1059/1080?
Answer: GCF of Numerators as per given numbers 3442/734, 1059/1080 is
GCF of Numerators i.e. for 3442,1059 is 1
LCM of denominators i.e. for 734,1080 is 396360.
Thus, GCF of Fractions is 1/396360.Finally, GCF of Fractions for 3442/734, 1059/1080 is 1/396360.