GCF of 1047/689, 3064/631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1047/689, 3064/631 i.e 1/434759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1047/689, 3064/631.
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 1047/689,3064/631?
Given fractions are 1047/689,3064/631
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 1047/689,3064/631, numerators are 1047,3064
Denominators are 689,631
The GCF of 1047,3064 is 1 .
LCM of 689,631 is 434759.
The greatest common factor of 1047/689,3064/631 = [GCF of 1047,3064]/[LCM of 689,631]= 1/434759
Therefore, the GCF of 1047/689,3064/631 is 1/434759.
To find the highest common factor of 1047,3064, we have to find the factors of both numbers and list the highest common factor.
The factors of 1047 are 1, 3, 349, 1047
The factors of 3064 are 1, 2, 4, 8, 383, 766, 1532, 3064
The HCF of 1047,3064 is 1.
Lets's calculate GCF of 1047,3064
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1047,3064 By Matching Biggest Common Factor Method
Now, list down the factors of 1047
:1,3,349,1047
Now, list down the factors of 3064
:1,2,4,8,383,766,1532,3064
Greatest Common Factor
We found the factors 1047,3064 . The biggest common factor number is the GCF number.
So the greatest common factor 1047,3064 is 1.
Lets's calculate LCM of 689,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 434759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/434759
Therefore, the GCF of Fractions 1047/689,3064/631 is 1/434759
Least Common Multiple of 689,631 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 689,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,631) x common factors =1 x 1 = 1
LCM(689,631) = ( 689 × 631 ) / 1
LCM(689,631) = 434759 / 1
LCM(689,631) = 434759
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FAQs on GCF of Fractions of 1047/689, 3064/631
1. What is the HCF of 1047,3064?
The HCF of 1047,3064 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 1047/689, 3064/631?
Answer: GCF of Numerators as per given numbers 1047/689, 3064/631 is
GCF of Numerators i.e. for 1047,3064 is 1
LCM of denominators i.e. for 689,631 is 434759.
Thus, GCF of Fractions is 1/434759.Finally, GCF of Fractions for 1047/689, 3064/631 is 1/434759.