GCF of 4027/752, 5992/5769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4027/752, 5992/5769 i.e 1/4338288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4027/752, 5992/5769.
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 4027/752,5992/5769?
Given fractions are 4027/752,5992/5769
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 4027/752,5992/5769, numerators are 4027,5992
Denominators are 752,5769
The GCF of 4027,5992 is 1 .
LCM of 752,5769 is 4338288.
The greatest common factor of 4027/752,5992/5769 = [GCF of 4027,5992]/[LCM of 752,5769]= 1/4338288
Therefore, the GCF of 4027/752,5992/5769 is 1/4338288.
To find the highest common factor of 4027,5992, we have to find the factors of both numbers and list the highest common factor.
The factors of 4027 are 1, 4027
The factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992
The HCF of 4027,5992 is 1.
Lets's calculate GCF of 4027,5992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4027,5992 By Matching Biggest Common Factor Method
Now, list down the factors of 4027
:1,4027
Now, list down the factors of 5992
:1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992
Greatest Common Factor
We found the factors 4027,5992 . The biggest common factor number is the GCF number.
So the greatest common factor 4027,5992 is 1.
Lets's calculate LCM of 752,5769
Given numbers has no common factors except 1. So, there LCM is their product i.e 4338288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4338288
Therefore, the GCF of Fractions 4027/752,5992/5769 is 1/4338288
Least Common Multiple of 752,5769 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 752,5769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,5769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,5769) x common factors =1 x 1 = 1
LCM(752,5769) = ( 752 × 5769 ) / 1
LCM(752,5769) = 4338288 / 1
LCM(752,5769) = 4338288
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FAQs on GCF of Fractions of 4027/752, 5992/5769
1. What is the HCF of 4027,5992?
The HCF of 4027,5992 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 4027/752, 5992/5769?
Answer: GCF of Numerators as per given numbers 4027/752, 5992/5769 is
GCF of Numerators i.e. for 4027,5992 is 1
LCM of denominators i.e. for 752,5769 is 4338288.
Thus, GCF of Fractions is 1/4338288.Finally, GCF of Fractions for 4027/752, 5992/5769 is 1/4338288.