GCF of 1696/669, 3766/3413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1696/669, 3766/3413 i.e 2/2283297 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1696/669, 3766/3413.
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 1696/669,3766/3413?
Given fractions are 1696/669,3766/3413
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 1696/669,3766/3413, numerators are 1696,3766
Denominators are 669,3413
The GCF of 1696,3766 is 2 .
LCM of 669,3413 is 2283297.
The greatest common factor of 1696/669,3766/3413 = [GCF of 1696,3766]/[LCM of 669,3413]= 2/2283297
Therefore, the GCF of 1696/669,3766/3413 is 2/2283297.
To find the highest common factor of 1696,3766, we have to find the factors of both numbers and list the highest common factor.
The factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696
The factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766
The HCF of 1696,3766 is 2.
Lets's calculate GCF of 1696,3766
| 2 | 1696, 3766 |
| 848, 1883 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1696,3766 By Matching Biggest Common Factor Method
Now, list down the factors of 1696
:1,2,4,8,16,32,53,106,212,424,848,1696
Now, list down the factors of 3766
:1,2,7,14,269,538,1883,3766
Greatest Common Factor
We found the factors 1696,3766 . The biggest common factor number is the GCF number.
So the greatest common factor 1696,3766 is 2.
Lets's calculate LCM of 669,3413
Given numbers has no common factors except 1. So, there LCM is their product i.e 2283297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2283297
Therefore, the GCF of Fractions 1696/669,3766/3413 is 2/2283297
Least Common Multiple of 669,3413 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 669,3413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,3413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,3413) x common factors =1 x 1 = 1
LCM(669,3413) = ( 669 × 3413 ) / 1
LCM(669,3413) = 2283297 / 1
LCM(669,3413) = 2283297
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FAQs on GCF of Fractions of 1696/669, 3766/3413
1. What is the HCF of 1696,3766?
The HCF of 1696,3766 is 2
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 1696/669, 3766/3413?
Answer: GCF of Numerators as per given numbers 1696/669, 3766/3413 is
GCF of Numerators i.e. for 1696,3766 is 2
LCM of denominators i.e. for 669,3413 is 2283297.
Thus, GCF of Fractions is 2/2283297.Finally, GCF of Fractions for 1696/669, 3766/3413 is 2/2283297.