GCF of 2029/400, 7468/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2029/400, 7468/111 i.e 1/44400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2029/400, 7468/111.
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 2029/400,7468/111?
Given fractions are 2029/400,7468/111
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 2029/400,7468/111, numerators are 2029,7468
Denominators are 400,111
The GCF of 2029,7468 is 1 .
LCM of 400,111 is 44400.
The greatest common factor of 2029/400,7468/111 = [GCF of 2029,7468]/[LCM of 400,111]= 1/44400
Therefore, the GCF of 2029/400,7468/111 is 1/44400.
To find the highest common factor of 2029,7468, we have to find the factors of both numbers and list the highest common factor.
The factors of 2029 are 1, 2029
The factors of 7468 are 1, 2, 4, 1867, 3734, 7468
The HCF of 2029,7468 is 1.
Lets's calculate GCF of 2029,7468
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2029,7468 By Matching Biggest Common Factor Method
Now, list down the factors of 2029
:1,2029
Now, list down the factors of 7468
:1,2,4,1867,3734,7468
Greatest Common Factor
We found the factors 2029,7468 . The biggest common factor number is the GCF number.
So the greatest common factor 2029,7468 is 1.
Lets's calculate LCM of 400,111
Given numbers has no common factors except 1. So, there LCM is their product i.e 44400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44400
Therefore, the GCF of Fractions 2029/400,7468/111 is 1/44400
Least Common Multiple of 400,111 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 400,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(400,111) x common factors =1 x 1 = 1
LCM(400,111) = ( 400 × 111 ) / 1
LCM(400,111) = 44400 / 1
LCM(400,111) = 44400
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FAQs on GCF of Fractions of 2029/400, 7468/111
1. What is the HCF of 2029,7468?
The HCF of 2029,7468 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 2029/400, 7468/111?
Answer: GCF of Numerators as per given numbers 2029/400, 7468/111 is
GCF of Numerators i.e. for 2029,7468 is 1
LCM of denominators i.e. for 400,111 is 44400.
Thus, GCF of Fractions is 1/44400.Finally, GCF of Fractions for 2029/400, 7468/111 is 1/44400.