How to Find GCF of 8186/980, 1483/7254?

GCF of 8186/980, 1483/7254

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 8186/980, 1483/7254 i.e 1/3554460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8186/980, 1483/7254.

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 8186/980,1483/7254?

Given fractions are 8186/980,1483/7254

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 8186/980,1483/7254, numerators are 8186,1483

Denominators are 980,7254

The GCF of 8186,1483 is 1 .

LCM of 980,7254 is 3554460.

The greatest common factor of 8186/980,1483/7254 = [GCF of 8186,1483]/[LCM of 980,7254]= 1/3554460

Therefore, the GCF of 8186/980,1483/7254 is 1/3554460.

Greatest Common Factor of 8186,1483

To find the highest common factor of 8186,1483, we have to find the factors of both numbers and list the highest common factor.

The factors of 8186 are 1, 2, 4093, 8186

The factors of 1483 are 1, 1483

The HCF of 8186,1483 is 1.

Lets's calculate GCF of 8186,1483

Greatest Common Factor (GCF) of 8186,1483 By Common Division

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

Greatest Common Factor of 8186,1483 By Matching Biggest Common Factor Method

Now, list down the factors of 8186

1,2,4093,8186

Now, list down the factors of 1483

1,1483

Greatest Common Factor

We found the factors 8186,1483 . The biggest common factor number is the GCF number.
So the greatest common factor 8186,1483 is 1.

Lets's calculate LCM of 980,7254

Lowest Common Multiple of 980,7254 using Common Division

2	980, 7254
	490, 3627

∴ So the LCM of the given numbers is 2 x 490 x 3627 = 3554460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3554460

Therefore, the GCF of Fractions 8186/980,1483/7254 is 1/3554460

Least Common Multiple of 980,7254 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 980,7254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,7254) = 2

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

GCF(980,7254) x common factors =2 x 1 = 2

LCM(980,7254) = ( 980 × 7254 ) / 2

LCM(980,7254) = 7108920 / 2

LCM(980,7254) = 3554460

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FAQs on GCF of Fractions of 8186/980, 1483/7254

1. What is the HCF of 8186,1483?

The HCF of 8186,1483 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 8186/980, 1483/7254?

Answer: GCF of Numerators as per given numbers 8186/980, 1483/7254 is

GCF of Numerators i.e. for 8186,1483 is 1

LCM of denominators i.e. for 980,7254 is 3554460.

Thus, GCF of Fractions is 1/3554460.Finally, GCF of Fractions for 8186/980, 1483/7254 is 1/3554460.