GCF of 2658/894, 3745/3290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2658/894, 3745/3290 i.e 1/1470630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2658/894, 3745/3290.
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 2658/894,3745/3290?
Given fractions are 2658/894,3745/3290
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 2658/894,3745/3290, numerators are 2658,3745
Denominators are 894,3290
The GCF of 2658,3745 is 1 .
LCM of 894,3290 is 1470630.
The greatest common factor of 2658/894,3745/3290 = [GCF of 2658,3745]/[LCM of 894,3290]= 1/1470630
Therefore, the GCF of 2658/894,3745/3290 is 1/1470630.
To find the highest common factor of 2658,3745, we have to find the factors of both numbers and list the highest common factor.
The factors of 2658 are 1, 2, 3, 6, 443, 886, 1329, 2658
The factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745
The HCF of 2658,3745 is 1.
Lets's calculate GCF of 2658,3745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2658,3745 By Matching Biggest Common Factor Method
Now, list down the factors of 2658
:1,2,3,6,443,886,1329,2658
Now, list down the factors of 3745
:1,5,7,35,107,535,749,3745
Greatest Common Factor
We found the factors 2658,3745 . The biggest common factor number is the GCF number.
So the greatest common factor 2658,3745 is 1.
Lets's calculate LCM of 894,3290
| 2 | 894, 3290 |
| 447, 1645 |
∴ So the LCM of the given numbers is 2 x 447 x 1645 = 1470630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1470630
Therefore, the GCF of Fractions 2658/894,3745/3290 is 1/1470630
Least Common Multiple of 894,3290 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 894,3290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,3290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,3290) x common factors =2 x 1 = 2
LCM(894,3290) = ( 894 × 3290 ) / 2
LCM(894,3290) = 2941260 / 2
LCM(894,3290) = 1470630
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FAQs on GCF of Fractions of 2658/894, 3745/3290
1. What is the HCF of 2658,3745?
The HCF of 2658,3745 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 2658/894, 3745/3290?
Answer: GCF of Numerators as per given numbers 2658/894, 3745/3290 is
GCF of Numerators i.e. for 2658,3745 is 1
LCM of denominators i.e. for 894,3290 is 1470630.
Thus, GCF of Fractions is 1/1470630.Finally, GCF of Fractions for 2658/894, 3745/3290 is 1/1470630.