How to Find GCF of 8705/522, 3328/3016?

GCF of 8705/522, 3328/3016

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 8705/522, 3328/3016 i.e 1/27144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8705/522, 3328/3016.

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 8705/522,3328/3016?

Given fractions are 8705/522,3328/3016

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 8705/522,3328/3016, numerators are 8705,3328

Denominators are 522,3016

The GCF of 8705,3328 is 1 .

LCM of 522,3016 is 27144.

The greatest common factor of 8705/522,3328/3016 = [GCF of 8705,3328]/[LCM of 522,3016]= 1/27144

Therefore, the GCF of 8705/522,3328/3016 is 1/27144.

Greatest Common Factor of 8705,3328

To find the highest common factor of 8705,3328, we have to find the factors of both numbers and list the highest common factor.

The factors of 8705 are 1, 5, 1741, 8705

The factors of 3328 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328

The HCF of 8705,3328 is 1.

Lets's calculate GCF of 8705,3328

Greatest Common Factor (GCF) of 8705,3328 By Common Division

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

Greatest Common Factor of 8705,3328 By Matching Biggest Common Factor Method

Now, list down the factors of 8705

1,5,1741,8705

Now, list down the factors of 3328

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328

Greatest Common Factor

We found the factors 8705,3328 . The biggest common factor number is the GCF number.
So the greatest common factor 8705,3328 is 1.

Lets's calculate LCM of 522,3016

Lowest Common Multiple of 522,3016 using Common Division

2	522, 3016
29	261, 1508
	9, 52

∴ So the LCM of the given numbers is 2 x 29 x 9 x 52 = 27144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27144

Therefore, the GCF of Fractions 8705/522,3328/3016 is 1/27144

Least Common Multiple of 522,3016 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 522,3016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,3016) = 58

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

GCF(522,3016) x common factors =58 x 1 = 58

LCM(522,3016) = ( 522 × 3016 ) / 58

LCM(522,3016) = 1574352 / 58

LCM(522,3016) = 27144

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FAQs on GCF of Fractions of 8705/522, 3328/3016

1. What is the HCF of 8705,3328?

The HCF of 8705,3328 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 8705/522, 3328/3016?

Answer: GCF of Numerators as per given numbers 8705/522, 3328/3016 is

GCF of Numerators i.e. for 8705,3328 is 1

LCM of denominators i.e. for 522,3016 is 27144.

Thus, GCF of Fractions is 1/27144.Finally, GCF of Fractions for 8705/522, 3328/3016 is 1/27144.