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GCF of 359/682, 1441/219

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 359/682, 1441/219 i.e 1/149358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 359/682, 1441/219.

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 359/682,1441/219?

Given fractions are 359/682,1441/219

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 359/682,1441/219, numerators are 359,1441

Denominators are 682,219

The GCF of 359,1441 is 1 .

LCM of 682,219 is 149358.

The greatest common factor of 359/682,1441/219 = [GCF of 359,1441]/[LCM of 682,219]= 1/149358

Therefore, the GCF of 359/682,1441/219 is 1/149358.

Greatest Common Factor of 359,1441

To find the highest common factor of 359,1441, we have to find the factors of both numbers and list the highest common factor.

The factors of 359 are 1, 359

The factors of 1441 are 1, 11, 131, 1441

The HCF of 359,1441 is 1.

Lets's calculate GCF of 359,1441

Greatest Common Factor (GCF) of 359,1441 By Common Division

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

Greatest Common Factor of 359,1441 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,1441 By Matching Biggest Common Factor Method

Now, list down the factors of 359

:

1,359

Now, list down the factors of 1441

:

1,11,131,1441

Greatest Common Factor

We found the factors 359,1441 . The biggest common factor number is the GCF number.
So the greatest common factor 359,1441 is 1.

Lets's calculate LCM of 682,219

Lowest Common Multiple of 682,219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 149358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149358

Therefore, the GCF of Fractions 359/682,1441/219 is 1/149358

Least Common Multiple of 682,219 with GCF Formula

Least Common Multiple of 682,219 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 682,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,219) = 1

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

GCF(682,219) x common factors =1 x 1 = 1

LCM(682,219) = ( 682 × 219 ) / 1

LCM(682,219) = 149358 / 1

LCM(682,219) = 149358


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FAQs on GCF of Fractions of 359/682, 1441/219

1. What is the HCF of 359,1441?

The HCF of 359,1441 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 359/682, 1441/219?

Answer: GCF of Numerators as per given numbers 359/682, 1441/219 is

GCF of Numerators i.e. for 359,1441 is 1

LCM of denominators i.e. for 682,219 is 149358.

Thus, GCF of Fractions is 1/149358.Finally, GCF of Fractions for 359/682, 1441/219 is 1/149358.