How to Find GCF of 6673/355, 6918/9557?

GCF of 6673/355, 6918/9557

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 6673/355, 6918/9557 i.e 1/3392735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6673/355, 6918/9557.

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 6673/355,6918/9557?

Given fractions are 6673/355,6918/9557

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 6673/355,6918/9557, numerators are 6673,6918

Denominators are 355,9557

The GCF of 6673,6918 is 1 .

LCM of 355,9557 is 3392735.

The greatest common factor of 6673/355,6918/9557 = [GCF of 6673,6918]/[LCM of 355,9557]= 1/3392735

Therefore, the GCF of 6673/355,6918/9557 is 1/3392735.

Greatest Common Factor of 6673,6918

To find the highest common factor of 6673,6918, we have to find the factors of both numbers and list the highest common factor.

The factors of 6673 are 1, 6673

The factors of 6918 are 1, 2, 3, 6, 1153, 2306, 3459, 6918

The HCF of 6673,6918 is 1.

Lets's calculate GCF of 6673,6918

Greatest Common Factor (GCF) of 6673,6918 By Common Division

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

Greatest Common Factor of 6673,6918 By Matching Biggest Common Factor Method

Now, list down the factors of 6673

1,6673

Now, list down the factors of 6918

1,2,3,6,1153,2306,3459,6918

Greatest Common Factor

We found the factors 6673,6918 . The biggest common factor number is the GCF number.
So the greatest common factor 6673,6918 is 1.

Lets's calculate LCM of 355,9557

Lowest Common Multiple of 355,9557 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3392735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3392735

Therefore, the GCF of Fractions 6673/355,6918/9557 is 1/3392735

Least Common Multiple of 355,9557 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 355,9557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,9557) = 1

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

GCF(355,9557) x common factors =1 x 1 = 1

LCM(355,9557) = ( 355 × 9557 ) / 1

LCM(355,9557) = 3392735 / 1

LCM(355,9557) = 3392735

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FAQs on GCF of Fractions of 6673/355, 6918/9557

1. What is the HCF of 6673,6918?

The HCF of 6673,6918 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 6673/355, 6918/9557?

Answer: GCF of Numerators as per given numbers 6673/355, 6918/9557 is

GCF of Numerators i.e. for 6673,6918 is 1

LCM of denominators i.e. for 355,9557 is 3392735.

Thus, GCF of Fractions is 1/3392735.Finally, GCF of Fractions for 6673/355, 6918/9557 is 1/3392735.