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GCF of 3345/670, 3469/3775

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3345/670, 3469/3775 i.e 1/505850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3345/670, 3469/3775.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3345/670,3469/3775?

Given fractions are 3345/670,3469/3775

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 3345/670,3469/3775, numerators are 3345,3469

Denominators are 670,3775

The GCF of 3345,3469 is 1 .

LCM of 670,3775 is 505850.

The greatest common factor of 3345/670,3469/3775 = [GCF of 3345,3469]/[LCM of 670,3775]= 1/505850

Therefore, the GCF of 3345/670,3469/3775 is 1/505850.

Greatest Common Factor of 3345,3469

To find the highest common factor of 3345,3469, we have to find the factors of both numbers and list the highest common factor.

The factors of 3345 are 1, 3, 5, 15, 223, 669, 1115, 3345

The factors of 3469 are 1, 3469

The HCF of 3345,3469 is 1.

Lets's calculate GCF of 3345,3469

Greatest Common Factor (GCF) of 3345,3469 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3345,3469 By Matching Biggest Common Factor Method

Greatest Common Factor of 3345,3469 By Matching Biggest Common Factor Method

Now, list down the factors of 3345

:

1,3,5,15,223,669,1115,3345

Now, list down the factors of 3469

:

1,3469

Greatest Common Factor

We found the factors 3345,3469 . The biggest common factor number is the GCF number.
So the greatest common factor 3345,3469 is 1.

Lets's calculate LCM of 670,3775

Lowest Common Multiple of 670,3775 using Common Division

5 670, 3775
134, 755

∴ So the LCM of the given numbers is 5 x 134 x 755 = 505850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505850

Therefore, the GCF of Fractions 3345/670,3469/3775 is 1/505850

Least Common Multiple of 670,3775 with GCF Formula

Least Common Multiple of 670,3775 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 670,3775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,3775) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(670,3775) x common factors =5 x 1 = 5

LCM(670,3775) = ( 670 × 3775 ) / 5

LCM(670,3775) = 2529250 / 5

LCM(670,3775) = 505850


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FAQs on GCF of Fractions of 3345/670, 3469/3775

1. What is the HCF of 3345,3469?

The HCF of 3345,3469 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 3345/670, 3469/3775?

Answer: GCF of Numerators as per given numbers 3345/670, 3469/3775 is

GCF of Numerators i.e. for 3345,3469 is 1

LCM of denominators i.e. for 670,3775 is 505850.

Thus, GCF of Fractions is 1/505850.Finally, GCF of Fractions for 3345/670, 3469/3775 is 1/505850.