GCF of 2691/374, 3667/3038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2691/374, 3667/3038 i.e 1/568106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2691/374, 3667/3038.
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 2691/374,3667/3038?
Given fractions are 2691/374,3667/3038
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 2691/374,3667/3038, numerators are 2691,3667
Denominators are 374,3038
The GCF of 2691,3667 is 1 .
LCM of 374,3038 is 568106.
The greatest common factor of 2691/374,3667/3038 = [GCF of 2691,3667]/[LCM of 374,3038]= 1/568106
Therefore, the GCF of 2691/374,3667/3038 is 1/568106.
To find the highest common factor of 2691,3667, we have to find the factors of both numbers and list the highest common factor.
The factors of 2691 are 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897, 2691
The factors of 3667 are 1, 19, 193, 3667
The HCF of 2691,3667 is 1.
Lets's calculate GCF of 2691,3667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2691,3667 By Matching Biggest Common Factor Method
Now, list down the factors of 2691
:1,3,9,13,23,39,69,117,207,299,897,2691
Now, list down the factors of 3667
:1,19,193,3667
Greatest Common Factor
We found the factors 2691,3667 . The biggest common factor number is the GCF number.
So the greatest common factor 2691,3667 is 1.
Lets's calculate LCM of 374,3038
| 2 | 374, 3038 |
| 187, 1519 |
∴ So the LCM of the given numbers is 2 x 187 x 1519 = 568106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/568106
Therefore, the GCF of Fractions 2691/374,3667/3038 is 1/568106
Least Common Multiple of 374,3038 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 374,3038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,3038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,3038) x common factors =2 x 1 = 2
LCM(374,3038) = ( 374 × 3038 ) / 2
LCM(374,3038) = 1136212 / 2
LCM(374,3038) = 568106
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FAQs on GCF of Fractions of 2691/374, 3667/3038
1. What is the HCF of 2691,3667?
The HCF of 2691,3667 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 2691/374, 3667/3038?
Answer: GCF of Numerators as per given numbers 2691/374, 3667/3038 is
GCF of Numerators i.e. for 2691,3667 is 1
LCM of denominators i.e. for 374,3038 is 568106.
Thus, GCF of Fractions is 1/568106.Finally, GCF of Fractions for 2691/374, 3667/3038 is 1/568106.