GCF of 1099/745, 4022/7384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1099/745, 4022/7384 i.e 1/5501080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1099/745, 4022/7384.
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 1099/745,4022/7384?
Given fractions are 1099/745,4022/7384
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 1099/745,4022/7384, numerators are 1099,4022
Denominators are 745,7384
The GCF of 1099,4022 is 1 .
LCM of 745,7384 is 5501080.
The greatest common factor of 1099/745,4022/7384 = [GCF of 1099,4022]/[LCM of 745,7384]= 1/5501080
Therefore, the GCF of 1099/745,4022/7384 is 1/5501080.
To find the highest common factor of 1099,4022, we have to find the factors of both numbers and list the highest common factor.
The factors of 1099 are 1, 7, 157, 1099
The factors of 4022 are 1, 2, 2011, 4022
The HCF of 1099,4022 is 1.
Lets's calculate GCF of 1099,4022
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1099,4022 By Matching Biggest Common Factor Method
Now, list down the factors of 1099
:1,7,157,1099
Now, list down the factors of 4022
:1,2,2011,4022
Greatest Common Factor
We found the factors 1099,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 1099,4022 is 1.
Lets's calculate LCM of 745,7384
Given numbers has no common factors except 1. So, there LCM is their product i.e 5501080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5501080
Therefore, the GCF of Fractions 1099/745,4022/7384 is 1/5501080
Least Common Multiple of 745,7384 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 745,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,7384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,7384) x common factors =1 x 1 = 1
LCM(745,7384) = ( 745 × 7384 ) / 1
LCM(745,7384) = 5501080 / 1
LCM(745,7384) = 5501080
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FAQs on GCF of Fractions of 1099/745, 4022/7384
1. What is the HCF of 1099,4022?
The HCF of 1099,4022 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 1099/745, 4022/7384?
Answer: GCF of Numerators as per given numbers 1099/745, 4022/7384 is
GCF of Numerators i.e. for 1099,4022 is 1
LCM of denominators i.e. for 745,7384 is 5501080.
Thus, GCF of Fractions is 1/5501080.Finally, GCF of Fractions for 1099/745, 4022/7384 is 1/5501080.