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GCF of 909/318, 3407/648

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 909/318, 3407/648 i.e 1/34344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/318, 3407/648.

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 909/318,3407/648?

Given fractions are 909/318,3407/648

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 909/318,3407/648, numerators are 909,3407

Denominators are 318,648

The GCF of 909,3407 is 1 .

LCM of 318,648 is 34344.

The greatest common factor of 909/318,3407/648 = [GCF of 909,3407]/[LCM of 318,648]= 1/34344

Therefore, the GCF of 909/318,3407/648 is 1/34344.

Greatest Common Factor of 909,3407

To find the highest common factor of 909,3407, we have to find the factors of both numbers and list the highest common factor.

The factors of 909 are 1, 3, 9, 101, 303, 909

The factors of 3407 are 1, 3407

The HCF of 909,3407 is 1.

Lets's calculate GCF of 909,3407

Greatest Common Factor (GCF) of 909,3407 By Common Division

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

Greatest Common Factor of 909,3407 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,3407 By Matching Biggest Common Factor Method

Now, list down the factors of 909

:

1,3,9,101,303,909

Now, list down the factors of 3407

:

1,3407

Greatest Common Factor

We found the factors 909,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 909,3407 is 1.

Lets's calculate LCM of 318,648

Lowest Common Multiple of 318,648 using Common Division

2 318, 648
3 159, 324
53, 108

∴ So the LCM of the given numbers is 2 x 3 x 53 x 108 = 34344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34344

Therefore, the GCF of Fractions 909/318,3407/648 is 1/34344

Least Common Multiple of 318,648 with GCF Formula

Least Common Multiple of 318,648 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 318,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,648) = 6

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

GCF(318,648) x common factors =6 x 1 = 6

LCM(318,648) = ( 318 × 648 ) / 6

LCM(318,648) = 206064 / 6

LCM(318,648) = 34344


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FAQs on GCF of Fractions of 909/318, 3407/648

1. What is the HCF of 909,3407?

The HCF of 909,3407 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 909/318, 3407/648?

Answer: GCF of Numerators as per given numbers 909/318, 3407/648 is

GCF of Numerators i.e. for 909,3407 is 1

LCM of denominators i.e. for 318,648 is 34344.

Thus, GCF of Fractions is 1/34344.Finally, GCF of Fractions for 909/318, 3407/648 is 1/34344.