How to Find GCF of 3304/260, 4295/8229?

GCF of 3304/260, 4295/8229

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 3304/260, 4295/8229 i.e 1/164580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3304/260, 4295/8229.

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 3304/260,4295/8229?

Given fractions are 3304/260,4295/8229

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 3304/260,4295/8229, numerators are 3304,4295

Denominators are 260,8229

The GCF of 3304,4295 is 1 .

LCM of 260,8229 is 164580.

The greatest common factor of 3304/260,4295/8229 = [GCF of 3304,4295]/[LCM of 260,8229]= 1/164580

Therefore, the GCF of 3304/260,4295/8229 is 1/164580.

Greatest Common Factor of 3304,4295

To find the highest common factor of 3304,4295, we have to find the factors of both numbers and list the highest common factor.

The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304

The factors of 4295 are 1, 5, 859, 4295

The HCF of 3304,4295 is 1.

Lets's calculate GCF of 3304,4295

Greatest Common Factor (GCF) of 3304,4295 By Common Division

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

Greatest Common Factor of 3304,4295 By Matching Biggest Common Factor Method

Now, list down the factors of 3304

1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304

Now, list down the factors of 4295

1,5,859,4295

Greatest Common Factor

We found the factors 3304,4295 . The biggest common factor number is the GCF number.
So the greatest common factor 3304,4295 is 1.

Lets's calculate LCM of 260,8229

Lowest Common Multiple of 260,8229 using Common Division

13	260, 8229
	20, 633

∴ So the LCM of the given numbers is 13 x 20 x 633 = 164580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164580

Therefore, the GCF of Fractions 3304/260,4295/8229 is 1/164580

Least Common Multiple of 260,8229 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 260,8229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,8229) = 13

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

GCF(260,8229) x common factors =13 x 1 = 13

LCM(260,8229) = ( 260 × 8229 ) / 13

LCM(260,8229) = 2139540 / 13

LCM(260,8229) = 164580

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FAQs on GCF of Fractions of 3304/260, 4295/8229

1. What is the HCF of 3304,4295?

The HCF of 3304,4295 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 3304/260, 4295/8229?

Answer: GCF of Numerators as per given numbers 3304/260, 4295/8229 is

GCF of Numerators i.e. for 3304,4295 is 1

LCM of denominators i.e. for 260,8229 is 164580.

Thus, GCF of Fractions is 1/164580.Finally, GCF of Fractions for 3304/260, 4295/8229 is 1/164580.