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GCF of 211/340, 591/469

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 211/340, 591/469 i.e 1/159460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/340, 591/469.

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 211/340,591/469?

Given fractions are 211/340,591/469

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 211/340,591/469, numerators are 211,591

Denominators are 340,469

The GCF of 211,591 is 1 .

LCM of 340,469 is 159460.

The greatest common factor of 211/340,591/469 = [GCF of 211,591]/[LCM of 340,469]= 1/159460

Therefore, the GCF of 211/340,591/469 is 1/159460.

Greatest Common Factor of 211,591

To find the highest common factor of 211,591, we have to find the factors of both numbers and list the highest common factor.

The factors of 211 are 1, 211

The factors of 591 are 1, 3, 197, 591

The HCF of 211,591 is 1.

Lets's calculate GCF of 211,591

Greatest Common Factor (GCF) of 211,591 By Common Division

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

Greatest Common Factor of 211,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,591 By Matching Biggest Common Factor Method

Now, list down the factors of 211

:

1,211

Now, list down the factors of 591

:

1,3,197,591

Greatest Common Factor

We found the factors 211,591 . The biggest common factor number is the GCF number.
So the greatest common factor 211,591 is 1.

Lets's calculate LCM of 340,469

Lowest Common Multiple of 340,469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 159460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159460

Therefore, the GCF of Fractions 211/340,591/469 is 1/159460

Least Common Multiple of 340,469 with GCF Formula

Least Common Multiple of 340,469 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 340,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,469) = 1

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

GCF(340,469) x common factors =1 x 1 = 1

LCM(340,469) = ( 340 × 469 ) / 1

LCM(340,469) = 159460 / 1

LCM(340,469) = 159460


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FAQs on GCF of Fractions of 211/340, 591/469

1. What is the HCF of 211,591?

The HCF of 211,591 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 211/340, 591/469?

Answer: GCF of Numerators as per given numbers 211/340, 591/469 is

GCF of Numerators i.e. for 211,591 is 1

LCM of denominators i.e. for 340,469 is 159460.

Thus, GCF of Fractions is 1/159460.Finally, GCF of Fractions for 211/340, 591/469 is 1/159460.