GCF of 4049/851, 5840/5882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4049/851, 5840/5882 i.e 1/5005582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4049/851, 5840/5882.
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 4049/851,5840/5882?
Given fractions are 4049/851,5840/5882
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 4049/851,5840/5882, numerators are 4049,5840
Denominators are 851,5882
The GCF of 4049,5840 is 1 .
LCM of 851,5882 is 5005582.
The greatest common factor of 4049/851,5840/5882 = [GCF of 4049,5840]/[LCM of 851,5882]= 1/5005582
Therefore, the GCF of 4049/851,5840/5882 is 1/5005582.
To find the highest common factor of 4049,5840, we have to find the factors of both numbers and list the highest common factor.
The factors of 4049 are 1, 4049
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840
The HCF of 4049,5840 is 1.
Lets's calculate GCF of 4049,5840
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4049,5840 By Matching Biggest Common Factor Method
Now, list down the factors of 4049
:1,4049
Now, list down the factors of 5840
:1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Greatest Common Factor
We found the factors 4049,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 4049,5840 is 1.
Lets's calculate LCM of 851,5882
Given numbers has no common factors except 1. So, there LCM is their product i.e 5005582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5005582
Therefore, the GCF of Fractions 4049/851,5840/5882 is 1/5005582
Least Common Multiple of 851,5882 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 851,5882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,5882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,5882) x common factors =1 x 1 = 1
LCM(851,5882) = ( 851 × 5882 ) / 1
LCM(851,5882) = 5005582 / 1
LCM(851,5882) = 5005582
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FAQs on GCF of Fractions of 4049/851, 5840/5882
1. What is the HCF of 4049,5840?
The HCF of 4049,5840 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 4049/851, 5840/5882?
Answer: GCF of Numerators as per given numbers 4049/851, 5840/5882 is
GCF of Numerators i.e. for 4049,5840 is 1
LCM of denominators i.e. for 851,5882 is 5005582.
Thus, GCF of Fractions is 1/5005582.Finally, GCF of Fractions for 4049/851, 5840/5882 is 1/5005582.