GCF of 7784/311, 4009/1446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7784/311, 4009/1446 i.e 1/449706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7784/311, 4009/1446.
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 7784/311,4009/1446?
Given fractions are 7784/311,4009/1446
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 7784/311,4009/1446, numerators are 7784,4009
Denominators are 311,1446
The GCF of 7784,4009 is 1 .
LCM of 311,1446 is 449706.
The greatest common factor of 7784/311,4009/1446 = [GCF of 7784,4009]/[LCM of 311,1446]= 1/449706
Therefore, the GCF of 7784/311,4009/1446 is 1/449706.
To find the highest common factor of 7784,4009, we have to find the factors of both numbers and list the highest common factor.
The factors of 7784 are 1, 2, 4, 7, 8, 14, 28, 56, 139, 278, 556, 973, 1112, 1946, 3892, 7784
The factors of 4009 are 1, 19, 211, 4009
The HCF of 7784,4009 is 1.
Lets's calculate GCF of 7784,4009
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7784,4009 By Matching Biggest Common Factor Method
Now, list down the factors of 7784
:1,2,4,7,8,14,28,56,139,278,556,973,1112,1946,3892,7784
Now, list down the factors of 4009
:1,19,211,4009
Greatest Common Factor
We found the factors 7784,4009 . The biggest common factor number is the GCF number.
So the greatest common factor 7784,4009 is 1.
Lets's calculate LCM of 311,1446
Given numbers has no common factors except 1. So, there LCM is their product i.e 449706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/449706
Therefore, the GCF of Fractions 7784/311,4009/1446 is 1/449706
Least Common Multiple of 311,1446 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 311,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,1446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,1446) x common factors =1 x 1 = 1
LCM(311,1446) = ( 311 × 1446 ) / 1
LCM(311,1446) = 449706 / 1
LCM(311,1446) = 449706
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FAQs on GCF of Fractions of 7784/311, 4009/1446
1. What is the HCF of 7784,4009?
The HCF of 7784,4009 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 7784/311, 4009/1446?
Answer: GCF of Numerators as per given numbers 7784/311, 4009/1446 is
GCF of Numerators i.e. for 7784,4009 is 1
LCM of denominators i.e. for 311,1446 is 449706.
Thus, GCF of Fractions is 1/449706.Finally, GCF of Fractions for 7784/311, 4009/1446 is 1/449706.