How to Find GCF of 9805/945, 3546/493?

GCF of 9805/945, 3546/493

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 9805/945, 3546/493 i.e 1/465885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9805/945, 3546/493.

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 9805/945,3546/493?

Given fractions are 9805/945,3546/493

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 9805/945,3546/493, numerators are 9805,3546

Denominators are 945,493

The GCF of 9805,3546 is 1 .

LCM of 945,493 is 465885.

The greatest common factor of 9805/945,3546/493 = [GCF of 9805,3546]/[LCM of 945,493]= 1/465885

Therefore, the GCF of 9805/945,3546/493 is 1/465885.

Greatest Common Factor of 9805,3546

To find the highest common factor of 9805,3546, we have to find the factors of both numbers and list the highest common factor.

The factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805

The factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546

The HCF of 9805,3546 is 1.

Lets's calculate GCF of 9805,3546

Greatest Common Factor (GCF) of 9805,3546 By Common Division

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

Greatest Common Factor of 9805,3546 By Matching Biggest Common Factor Method

Now, list down the factors of 9805

1,5,37,53,185,265,1961,9805

Now, list down the factors of 3546

1,2,3,6,9,18,197,394,591,1182,1773,3546

Greatest Common Factor

We found the factors 9805,3546 . The biggest common factor number is the GCF number.
So the greatest common factor 9805,3546 is 1.

Lets's calculate LCM of 945,493

Lowest Common Multiple of 945,493 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 465885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/465885

Therefore, the GCF of Fractions 9805/945,3546/493 is 1/465885

Least Common Multiple of 945,493 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 945,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,493) = 1

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

GCF(945,493) x common factors =1 x 1 = 1

LCM(945,493) = ( 945 × 493 ) / 1

LCM(945,493) = 465885 / 1

LCM(945,493) = 465885

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9805/945, 3546/493

1. What is the HCF of 9805,3546?

The HCF of 9805,3546 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 9805/945, 3546/493?

Answer: GCF of Numerators as per given numbers 9805/945, 3546/493 is

GCF of Numerators i.e. for 9805,3546 is 1

LCM of denominators i.e. for 945,493 is 465885.

Thus, GCF of Fractions is 1/465885.Finally, GCF of Fractions for 9805/945, 3546/493 is 1/465885.