GCF of 3769/329, 6712/2232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3769/329, 6712/2232 i.e 1/734328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3769/329, 6712/2232.
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 3769/329,6712/2232?
Given fractions are 3769/329,6712/2232
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 3769/329,6712/2232, numerators are 3769,6712
Denominators are 329,2232
The GCF of 3769,6712 is 1 .
LCM of 329,2232 is 734328.
The greatest common factor of 3769/329,6712/2232 = [GCF of 3769,6712]/[LCM of 329,2232]= 1/734328
Therefore, the GCF of 3769/329,6712/2232 is 1/734328.
To find the highest common factor of 3769,6712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3769 are 1, 3769
The factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712
The HCF of 3769,6712 is 1.
Lets's calculate GCF of 3769,6712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3769,6712 By Matching Biggest Common Factor Method
Now, list down the factors of 3769
:1,3769
Now, list down the factors of 6712
:1,2,4,8,839,1678,3356,6712
Greatest Common Factor
We found the factors 3769,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 3769,6712 is 1.
Lets's calculate LCM of 329,2232
Given numbers has no common factors except 1. So, there LCM is their product i.e 734328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/734328
Therefore, the GCF of Fractions 3769/329,6712/2232 is 1/734328
Least Common Multiple of 329,2232 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 329,2232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,2232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,2232) x common factors =1 x 1 = 1
LCM(329,2232) = ( 329 × 2232 ) / 1
LCM(329,2232) = 734328 / 1
LCM(329,2232) = 734328
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FAQs on GCF of Fractions of 3769/329, 6712/2232
1. What is the HCF of 3769,6712?
The HCF of 3769,6712 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 3769/329, 6712/2232?
Answer: GCF of Numerators as per given numbers 3769/329, 6712/2232 is
GCF of Numerators i.e. for 3769,6712 is 1
LCM of denominators i.e. for 329,2232 is 734328.
Thus, GCF of Fractions is 1/734328.Finally, GCF of Fractions for 3769/329, 6712/2232 is 1/734328.