GCF of 3475/164, 3470/3770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3475/164, 3470/3770 i.e 5/309140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3475/164, 3470/3770.
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 3475/164,3470/3770?
Given fractions are 3475/164,3470/3770
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 3475/164,3470/3770, numerators are 3475,3470
Denominators are 164,3770
The GCF of 3475,3470 is 5 .
LCM of 164,3770 is 309140.
The greatest common factor of 3475/164,3470/3770 = [GCF of 3475,3470]/[LCM of 164,3770]= 5/309140
Therefore, the GCF of 3475/164,3470/3770 is 5/309140.
To find the highest common factor of 3475,3470, we have to find the factors of both numbers and list the highest common factor.
The factors of 3475 are 1, 5, 25, 139, 695, 3475
The factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470
The HCF of 3475,3470 is 5.
Lets's calculate GCF of 3475,3470
| 5 | 3475, 3470 |
| 695, 694 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3475,3470 By Matching Biggest Common Factor Method
Now, list down the factors of 3475
:1,5,25,139,695,3475
Now, list down the factors of 3470
:1,2,5,10,347,694,1735,3470
Greatest Common Factor
We found the factors 3475,3470 . The biggest common factor number is the GCF number.
So the greatest common factor 3475,3470 is 5.
Lets's calculate LCM of 164,3770
| 2 | 164, 3770 |
| 82, 1885 |
∴ So the LCM of the given numbers is 2 x 82 x 1885 = 309140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/309140
Therefore, the GCF of Fractions 3475/164,3470/3770 is 5/309140
Least Common Multiple of 164,3770 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 164,3770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,3770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,3770) x common factors =2 x 1 = 2
LCM(164,3770) = ( 164 × 3770 ) / 2
LCM(164,3770) = 618280 / 2
LCM(164,3770) = 309140
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FAQs on GCF of Fractions of 3475/164, 3470/3770
1. What is the HCF of 3475,3470?
The HCF of 3475,3470 is 5
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 3475/164, 3470/3770?
Answer: GCF of Numerators as per given numbers 3475/164, 3470/3770 is
GCF of Numerators i.e. for 3475,3470 is 5
LCM of denominators i.e. for 164,3770 is 309140.
Thus, GCF of Fractions is 5/309140.Finally, GCF of Fractions for 3475/164, 3470/3770 is 5/309140.