GCF of 3675/686, 4058/1372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3675/686, 4058/1372 i.e 1/1372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3675/686, 4058/1372.
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 3675/686,4058/1372?
Given fractions are 3675/686,4058/1372
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 3675/686,4058/1372, numerators are 3675,4058
Denominators are 686,1372
The GCF of 3675,4058 is 1 .
LCM of 686,1372 is 1372.
The greatest common factor of 3675/686,4058/1372 = [GCF of 3675,4058]/[LCM of 686,1372]= 1/1372
Therefore, the GCF of 3675/686,4058/1372 is 1/1372.
To find the highest common factor of 3675,4058, we have to find the factors of both numbers and list the highest common factor.
The factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675
The factors of 4058 are 1, 2, 2029, 4058
The HCF of 3675,4058 is 1.
Lets's calculate GCF of 3675,4058
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3675,4058 By Matching Biggest Common Factor Method
Now, list down the factors of 3675
:1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675
Now, list down the factors of 4058
:1,2,2029,4058
Greatest Common Factor
We found the factors 3675,4058 . The biggest common factor number is the GCF number.
So the greatest common factor 3675,4058 is 1.
Lets's calculate LCM of 686,1372
| 2 | 686, 1372 |
| 7 | 343, 686 |
| 7 | 49, 98 |
| 7 | 7, 14 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 7 x 1 x 2 = 1372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1372
Therefore, the GCF of Fractions 3675/686,4058/1372 is 1/1372
Least Common Multiple of 686,1372 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 686,1372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,1372) = 686
common factors(in case of two or more numbers have common factors) = 1
GCF(686,1372) x common factors =686 x 1 = 686
LCM(686,1372) = ( 686 × 1372 ) / 686
LCM(686,1372) = 941192 / 686
LCM(686,1372) = 1372
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FAQs on GCF of Fractions of 3675/686, 4058/1372
1. What is the HCF of 3675,4058?
The HCF of 3675,4058 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 3675/686, 4058/1372?
Answer: GCF of Numerators as per given numbers 3675/686, 4058/1372 is
GCF of Numerators i.e. for 3675,4058 is 1
LCM of denominators i.e. for 686,1372 is 1372.
Thus, GCF of Fractions is 1/1372.Finally, GCF of Fractions for 3675/686, 4058/1372 is 1/1372.