GCF of 6069/724, 4054/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6069/724, 4054/827 i.e 1/598748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6069/724, 4054/827.
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 6069/724,4054/827?
Given fractions are 6069/724,4054/827
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 6069/724,4054/827, numerators are 6069,4054
Denominators are 724,827
The GCF of 6069,4054 is 1 .
LCM of 724,827 is 598748.
The greatest common factor of 6069/724,4054/827 = [GCF of 6069,4054]/[LCM of 724,827]= 1/598748
Therefore, the GCF of 6069/724,4054/827 is 1/598748.
To find the highest common factor of 6069,4054, we have to find the factors of both numbers and list the highest common factor.
The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
The factors of 4054 are 1, 2, 2027, 4054
The HCF of 6069,4054 is 1.
Lets's calculate GCF of 6069,4054
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6069,4054 By Matching Biggest Common Factor Method
Now, list down the factors of 6069
:1,3,7,17,21,51,119,289,357,867,2023,6069
Now, list down the factors of 4054
:1,2,2027,4054
Greatest Common Factor
We found the factors 6069,4054 . The biggest common factor number is the GCF number.
So the greatest common factor 6069,4054 is 1.
Lets's calculate LCM of 724,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 598748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598748
Therefore, the GCF of Fractions 6069/724,4054/827 is 1/598748
Least Common Multiple of 724,827 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 724,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,827) x common factors =1 x 1 = 1
LCM(724,827) = ( 724 × 827 ) / 1
LCM(724,827) = 598748 / 1
LCM(724,827) = 598748
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FAQs on GCF of Fractions of 6069/724, 4054/827
1. What is the HCF of 6069,4054?
The HCF of 6069,4054 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 6069/724, 4054/827?
Answer: GCF of Numerators as per given numbers 6069/724, 4054/827 is
GCF of Numerators i.e. for 6069,4054 is 1
LCM of denominators i.e. for 724,827 is 598748.
Thus, GCF of Fractions is 1/598748.Finally, GCF of Fractions for 6069/724, 4054/827 is 1/598748.