Greatest Common Factor of 343/68, 565/63, 280/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 343/68, 565/63, 280/65

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 343/68,565/63,280/65

Given fractions are 343/68,565/63,280/65

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 343,565,280

Greatest Common Factor of Numerators i.e. GCF of 343,565,280 is 1 .

LCM of Denominators means LCM of 68,63,65 as per the given fractions.

LCM of 68,63,65 is 278460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 343,565,280

GCF of Fractions 343/68,565/63,280/65 is 1/278460

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

Greatest Common Factor of 343,565,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,565,280 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 343,565,280 . The biggest common factor number is the GCF number.
So the greatest common factor 343,565,280 is 1.

Lets's calculate LCM of 68,63,65

Given numbers has no common factors except 1. So, there LCM is their product i.e 278460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278460

Therefore, the GCF of Fractions 343/68,565/63,280/65 is 1/278460

Least Common Multiple of 68,63,65 with GCF Formula

Least Common Multiple of 68,63,65 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 68,63,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,63,65) = 1

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

GCF(68,63,65) x common factors =1 x 1 = 1

LCM(68,63,65) = ( 68 × 63 × 65 ) / 1

LCM(68,63,65) = 278460 / 1

LCM(68,63,65) = 278460


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 343/68, 565/63, 280/65

1. 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.

2. What is the GCF of Fractions for 343/68, 565/63, 280/65?

Answer: GCF of Numerators as per given numbers 343/68, 565/63, 280/65 is

GCF of Numerators i.e. for 343,565,280 is 1

LCM of denominators i.e. for 68,63,65 is 278460.

Thus, GCF of Fractions is 1/278460.Finally, GCF of Fractions for 343/68, 565/63, 280/65 is 1/278460.