GCF of 743/322, 869/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 743/322, 869/900 i.e 1/144900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/322, 869/900.
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 743/322,869/900?
Given fractions are 743/322,869/900
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 743/322,869/900, numerators are 743,869
Denominators are 322,900
The GCF of 743,869 is 1 .
LCM of 322,900 is 144900.
The greatest common factor of 743/322,869/900 = [GCF of 743,869]/[LCM of 322,900]= 1/144900
Therefore, the GCF of 743/322,869/900 is 1/144900.
To find the highest common factor of 743,869, we have to find the factors of both numbers and list the highest common factor.
The factors of 743 are 1, 743
The factors of 869 are 1, 11, 79, 869
The HCF of 743,869 is 1.
Lets's calculate GCF of 743,869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 743,869 By Matching Biggest Common Factor Method
Now, list down the factors of 743
:1,743
Now, list down the factors of 869
:1,11,79,869
Greatest Common Factor
We found the factors 743,869 . The biggest common factor number is the GCF number.
So the greatest common factor 743,869 is 1.
Lets's calculate LCM of 322,900
| 2 | 322, 900 |
| 161, 450 |
∴ So the LCM of the given numbers is 2 x 161 x 450 = 144900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144900
Therefore, the GCF of Fractions 743/322,869/900 is 1/144900
Least Common Multiple of 322,900 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 322,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,900) x common factors =2 x 1 = 2
LCM(322,900) = ( 322 × 900 ) / 2
LCM(322,900) = 289800 / 2
LCM(322,900) = 144900
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FAQs on GCF of Fractions of 743/322, 869/900
1. What is the HCF of 743,869?
The HCF of 743,869 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 743/322, 869/900?
Answer: GCF of Numerators as per given numbers 743/322, 869/900 is
GCF of Numerators i.e. for 743,869 is 1
LCM of denominators i.e. for 322,900 is 144900.
Thus, GCF of Fractions is 1/144900.Finally, GCF of Fractions for 743/322, 869/900 is 1/144900.