How to Find GCF of 1090/215, 3932/3196?

GCF of 1090/215, 3932/3196

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 1090/215, 3932/3196 i.e 2/687140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1090/215, 3932/3196.

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 1090/215,3932/3196?

Given fractions are 1090/215,3932/3196

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 1090/215,3932/3196, numerators are 1090,3932

Denominators are 215,3196

The GCF of 1090,3932 is 2 .

LCM of 215,3196 is 687140.

The greatest common factor of 1090/215,3932/3196 = [GCF of 1090,3932]/[LCM of 215,3196]= 2/687140

Therefore, the GCF of 1090/215,3932/3196 is 2/687140.

Greatest Common Factor of 1090,3932

To find the highest common factor of 1090,3932, we have to find the factors of both numbers and list the highest common factor.

The factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090

The factors of 3932 are 1, 2, 4, 983, 1966, 3932

The HCF of 1090,3932 is 2.

Lets's calculate GCF of 1090,3932

Greatest Common Factor (GCF) of 1090,3932 By Common Division

2	1090, 3932
	545, 1966

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1090,3932 By Matching Biggest Common Factor Method

Now, list down the factors of 1090

1,2,5,10,109,218,545,1090

Now, list down the factors of 3932

1,2,4,983,1966,3932

Greatest Common Factor

We found the factors 1090,3932 . The biggest common factor number is the GCF number.
So the greatest common factor 1090,3932 is 2.

Lets's calculate LCM of 215,3196

Lowest Common Multiple of 215,3196 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 687140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/687140

Therefore, the GCF of Fractions 1090/215,3932/3196 is 2/687140

Least Common Multiple of 215,3196 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 215,3196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,3196) = 1

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

GCF(215,3196) x common factors =1 x 1 = 1

LCM(215,3196) = ( 215 × 3196 ) / 1

LCM(215,3196) = 687140 / 1

LCM(215,3196) = 687140

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FAQs on GCF of Fractions of 1090/215, 3932/3196

1. What is the HCF of 1090,3932?

The HCF of 1090,3932 is 2

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 1090/215, 3932/3196?

Answer: GCF of Numerators as per given numbers 1090/215, 3932/3196 is

GCF of Numerators i.e. for 1090,3932 is 2

LCM of denominators i.e. for 215,3196 is 687140.

Thus, GCF of Fractions is 2/687140.Finally, GCF of Fractions for 1090/215, 3932/3196 is 2/687140.