How to Find GCF of 3017/356, 8320/296?

GCF of 3017/356, 8320/296

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 3017/356, 8320/296 i.e 1/26344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3017/356, 8320/296.

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 3017/356,8320/296?

Given fractions are 3017/356,8320/296

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 3017/356,8320/296, numerators are 3017,8320

Denominators are 356,296

The GCF of 3017,8320 is 1 .

LCM of 356,296 is 26344.

The greatest common factor of 3017/356,8320/296 = [GCF of 3017,8320]/[LCM of 356,296]= 1/26344

Therefore, the GCF of 3017/356,8320/296 is 1/26344.

Greatest Common Factor of 3017,8320

To find the highest common factor of 3017,8320, we have to find the factors of both numbers and list the highest common factor.

The factors of 3017 are 1, 7, 431, 3017

The factors of 8320 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320

The HCF of 3017,8320 is 1.

Lets's calculate GCF of 3017,8320

Greatest Common Factor (GCF) of 3017,8320 By Common Division

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

Greatest Common Factor of 3017,8320 By Matching Biggest Common Factor Method

Now, list down the factors of 3017

1,7,431,3017

Now, list down the factors of 8320

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Greatest Common Factor

We found the factors 3017,8320 . The biggest common factor number is the GCF number.
So the greatest common factor 3017,8320 is 1.

Lets's calculate LCM of 356,296

Lowest Common Multiple of 356,296 using Common Division

2	356, 296
2	178, 148
	89, 74

∴ So the LCM of the given numbers is 2 x 2 x 89 x 74 = 26344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26344

Therefore, the GCF of Fractions 3017/356,8320/296 is 1/26344

Least Common Multiple of 356,296 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 356,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,296) = 4

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

GCF(356,296) x common factors =4 x 1 = 4

LCM(356,296) = ( 356 × 296 ) / 4

LCM(356,296) = 105376 / 4

LCM(356,296) = 26344

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3017/356, 8320/296

1. What is the HCF of 3017,8320?

The HCF of 3017,8320 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 3017/356, 8320/296?

Answer: GCF of Numerators as per given numbers 3017/356, 8320/296 is

GCF of Numerators i.e. for 3017,8320 is 1

LCM of denominators i.e. for 356,296 is 26344.

Thus, GCF of Fractions is 1/26344.Finally, GCF of Fractions for 3017/356, 8320/296 is 1/26344.