GCF of 844/75, 344/40, 745/730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 844/75, 344/40, 745/730 i.e 1/43800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/75, 344/40, 745/730.
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 844/75,344/40,745/730?
Given fractions are 844/75,344/40,745/730
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 844/75,344/40,745/730, numerators are 844,344,745
Denominators are 75,40,730
The GCF of 844,344,745 is 1 .
LCM of 75,40,730 is 43800.
The greatest common factor of 844/75,344/40,745/730 = [GCF of 844,344,745]/[LCM of 75,40,730]= 1/43800
Therefore, the GCF of 844/75,344/40,745/730 is 1/43800.
To find the highest common factor of 844,344,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The factors of 745 are 1, 5, 149, 745
The HCF of 844,344,745 is 1.
Lets's calculate GCF of 844,344,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 844,344,745 By Matching Biggest Common Factor Method
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 844,344,745 . The biggest common factor number is the GCF number.
So the greatest common factor 844,344,745 is 1.
Lets's calculate LCM of 75,40,730
| 2 | 75, 40, 730 |
| 5 | 75, 20, 365 |
| 15, 4, 73 |
∴ So the LCM of the given numbers is 2 x 5 x 15 x 4 x 73 = 43800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43800
Therefore, the GCF of Fractions 844/75,344/40,745/730 is 1/43800
Least Common Multiple of 75,40,730 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 75,40,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,40,730) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(75,40,730) x common factors =5 x 10 = 50
LCM(75,40,730) = ( 75 × 40 × 730 ) / 50
LCM(75,40,730) = 2190000 / 50
LCM(75,40,730) = 43800
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FAQs on GCF of Fractions of 844/75, 344/40, 745/730
1. What is the HCF of 844,344,745?
The HCF of 844,344,745 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 844/75, 344/40, 745/730?
Answer: GCF of Numerators as per given numbers 844/75, 344/40, 745/730 is
GCF of Numerators i.e. for 844,344,745 is 1
LCM of denominators i.e. for 75,40,730 is 43800.
Thus, GCF of Fractions is 1/43800.Finally, GCF of Fractions for 844/75, 344/40, 745/730 is 1/43800.