LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 265/336, 414/304

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 265/336, 414/304 i.e 1/6384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 265/336, 414/304.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 265/336,414/304?

Given fractions are 265/336,414/304

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 265/336,414/304, numerators are 265,414

Denominators are 336,304

The GCF of 265,414 is 1 .

LCM of 336,304 is 6384.

The greatest common factor of 265/336,414/304 = [GCF of 265,414]/[LCM of 336,304]= 1/6384

Therefore, the GCF of 265/336,414/304 is 1/6384.

Greatest Common Factor of 265,414

To find the highest common factor of 265,414, we have to find the factors of both numbers and list the highest common factor.

The factors of 265 are 1, 5, 53, 265

The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

The HCF of 265,414 is 1.

Lets's calculate GCF of 265,414

Greatest Common Factor (GCF) of 265,414 By Common Division

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

Greatest Common Factor of 265,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,414 By Matching Biggest Common Factor Method

Now, list down the factors of 265

:

1,5,53,265

Now, list down the factors of 414

:

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 265,414 . The biggest common factor number is the GCF number.
So the greatest common factor 265,414 is 1.

Lets's calculate LCM of 336,304

Lowest Common Multiple of 336,304 using Common Division

2 336, 304
2 168, 152
2 84, 76
2 42, 38
21, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 21 x 19 = 6384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6384

Therefore, the GCF of Fractions 265/336,414/304 is 1/6384

Least Common Multiple of 336,304 with GCF Formula

Least Common Multiple of 336,304 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 336,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,304) = 16

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

GCF(336,304) x common factors =16 x 1 = 16

LCM(336,304) = ( 336 × 304 ) / 16

LCM(336,304) = 102144 / 16

LCM(336,304) = 6384


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 265/336, 414/304

1. What is the HCF of 265,414?

The HCF of 265,414 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 265/336, 414/304?

Answer: GCF of Numerators as per given numbers 265/336, 414/304 is

GCF of Numerators i.e. for 265,414 is 1

LCM of denominators i.e. for 336,304 is 6384.

Thus, GCF of Fractions is 1/6384.Finally, GCF of Fractions for 265/336, 414/304 is 1/6384.