How to Find GCF of 1716/220, 3259/3248?

GCF of 1716/220, 3259/3248

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 1716/220, 3259/3248 i.e 1/178640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1716/220, 3259/3248.

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 1716/220,3259/3248?

Given fractions are 1716/220,3259/3248

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 1716/220,3259/3248, numerators are 1716,3259

Denominators are 220,3248

The GCF of 1716,3259 is 1 .

LCM of 220,3248 is 178640.

The greatest common factor of 1716/220,3259/3248 = [GCF of 1716,3259]/[LCM of 220,3248]= 1/178640

Therefore, the GCF of 1716/220,3259/3248 is 1/178640.

Greatest Common Factor of 1716,3259

To find the highest common factor of 1716,3259, we have to find the factors of both numbers and list the highest common factor.

The factors of 1716 are 1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 286, 429, 572, 858, 1716

The factors of 3259 are 1, 3259

The HCF of 1716,3259 is 1.

Lets's calculate GCF of 1716,3259

Greatest Common Factor (GCF) of 1716,3259 By Common Division

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

Greatest Common Factor of 1716,3259 By Matching Biggest Common Factor Method

Now, list down the factors of 1716

1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716

Now, list down the factors of 3259

1,3259

Greatest Common Factor

We found the factors 1716,3259 . The biggest common factor number is the GCF number.
So the greatest common factor 1716,3259 is 1.

Lets's calculate LCM of 220,3248

Lowest Common Multiple of 220,3248 using Common Division

2	220, 3248
2	110, 1624
	55, 812

∴ So the LCM of the given numbers is 2 x 2 x 55 x 812 = 178640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178640

Therefore, the GCF of Fractions 1716/220,3259/3248 is 1/178640

Least Common Multiple of 220,3248 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 220,3248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,3248) = 4

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

GCF(220,3248) x common factors =4 x 1 = 4

LCM(220,3248) = ( 220 × 3248 ) / 4

LCM(220,3248) = 714560 / 4

LCM(220,3248) = 178640

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1716/220, 3259/3248

1. What is the HCF of 1716,3259?

The HCF of 1716,3259 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 1716/220, 3259/3248?

Answer: GCF of Numerators as per given numbers 1716/220, 3259/3248 is

GCF of Numerators i.e. for 1716,3259 is 1

LCM of denominators i.e. for 220,3248 is 178640.

Thus, GCF of Fractions is 1/178640.Finally, GCF of Fractions for 1716/220, 3259/3248 is 1/178640.