How to Find GCF of 9206/155, 3467/2178?

GCF of 9206/155, 3467/2178

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 9206/155, 3467/2178 i.e 1/337590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9206/155, 3467/2178.

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 9206/155,3467/2178?

Given fractions are 9206/155,3467/2178

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 9206/155,3467/2178, numerators are 9206,3467

Denominators are 155,2178

The GCF of 9206,3467 is 1 .

LCM of 155,2178 is 337590.

The greatest common factor of 9206/155,3467/2178 = [GCF of 9206,3467]/[LCM of 155,2178]= 1/337590

Therefore, the GCF of 9206/155,3467/2178 is 1/337590.

Greatest Common Factor of 9206,3467

To find the highest common factor of 9206,3467, we have to find the factors of both numbers and list the highest common factor.

The factors of 9206 are 1, 2, 4603, 9206

The factors of 3467 are 1, 3467

The HCF of 9206,3467 is 1.

Lets's calculate GCF of 9206,3467

Greatest Common Factor (GCF) of 9206,3467 By Common Division

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

Greatest Common Factor of 9206,3467 By Matching Biggest Common Factor Method

Now, list down the factors of 9206

1,2,4603,9206

Now, list down the factors of 3467

1,3467

Greatest Common Factor

We found the factors 9206,3467 . The biggest common factor number is the GCF number.
So the greatest common factor 9206,3467 is 1.

Lets's calculate LCM of 155,2178

Lowest Common Multiple of 155,2178 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 337590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337590

Therefore, the GCF of Fractions 9206/155,3467/2178 is 1/337590

Least Common Multiple of 155,2178 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 155,2178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,2178) = 1

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

GCF(155,2178) x common factors =1 x 1 = 1

LCM(155,2178) = ( 155 × 2178 ) / 1

LCM(155,2178) = 337590 / 1

LCM(155,2178) = 337590

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FAQs on GCF of Fractions of 9206/155, 3467/2178

1. What is the HCF of 9206,3467?

The HCF of 9206,3467 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 9206/155, 3467/2178?

Answer: GCF of Numerators as per given numbers 9206/155, 3467/2178 is

GCF of Numerators i.e. for 9206,3467 is 1

LCM of denominators i.e. for 155,2178 is 337590.

Thus, GCF of Fractions is 1/337590.Finally, GCF of Fractions for 9206/155, 3467/2178 is 1/337590.