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GCF of 960/29, 343/60, 352/59

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 960/29, 343/60, 352/59 i.e 1/102660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 960/29, 343/60, 352/59.

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 960/29,343/60,352/59?

Given fractions are 960/29,343/60,352/59

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 960/29,343/60,352/59, numerators are 960,343,352

Denominators are 29,60,59

The GCF of 960,343,352 is 1 .

LCM of 29,60,59 is 102660.

The greatest common factor of 960/29,343/60,352/59 = [GCF of 960,343,352]/[LCM of 29,60,59]= 1/102660

Therefore, the GCF of 960/29,343/60,352/59 is 1/102660.

Greatest Common Factor of 960,343,352

To find the highest common factor of 960,343,352, we have to find the factors of both numbers and list the highest common factor.

The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

The factors of 343 are 1, 7, 49, 343

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The HCF of 960,343,352 is 1.

Lets's calculate GCF of 960,343,352

Greatest Common Factor (GCF) of 960,343,352 By Common Division

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

Greatest Common Factor of 960,343,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,343,352 By Matching Biggest Common Factor Method

Now, list down the factors of 960

:

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Now, list down the factors of 343

:

1,7,49,343

Now, list down the factors of 352

:

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 960,343,352 . The biggest common factor number is the GCF number.
So the greatest common factor 960,343,352 is 1.


Lets's calculate LCM of 29,60,59

Lowest Common Multiple of 29,60,59 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 102660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102660

Therefore, the GCF of Fractions 960/29,343/60,352/59 is 1/102660

Least Common Multiple of 29,60,59 with GCF Formula

Least Common Multiple of 29,60,59 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 29,60,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,60,59) = 1

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

GCF(29,60,59) x common factors =1 x 1 = 1

LCM(29,60,59) = ( 29 × 60 × 59 ) / 1

LCM(29,60,59) = 102660 / 1

LCM(29,60,59) = 102660


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 960/29, 343/60, 352/59

1. What is the HCF of 960,343,352?

The HCF of 960,343,352 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 960/29, 343/60, 352/59?

Answer: GCF of Numerators as per given numbers 960/29, 343/60, 352/59 is

GCF of Numerators i.e. for 960,343,352 is 1

LCM of denominators i.e. for 29,60,59 is 102660.

Thus, GCF of Fractions is 1/102660.Finally, GCF of Fractions for 960/29, 343/60, 352/59 is 1/102660.