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GCF of 2191/421, 1699/421

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 2191/421, 1699/421 i.e 1/421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2191/421, 1699/421.

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 2191/421,1699/421?

Given fractions are 2191/421,1699/421

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 2191/421,1699/421, numerators are 2191,1699

Denominators are 421,421

The GCF of 2191,1699 is 1 .

LCM of 421,421 is 421.

The greatest common factor of 2191/421,1699/421 = [GCF of 2191,1699]/[LCM of 421,421]= 1/421

Therefore, the GCF of 2191/421,1699/421 is 1/421.

Greatest Common Factor of 2191,1699

To find the highest common factor of 2191,1699, we have to find the factors of both numbers and list the highest common factor.

The factors of 2191 are 1, 7, 313, 2191

The factors of 1699 are 1, 1699

The HCF of 2191,1699 is 1.

Lets's calculate GCF of 2191,1699

Greatest Common Factor (GCF) of 2191,1699 By Common Division

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

Greatest Common Factor of 2191,1699 By Matching Biggest Common Factor Method

Greatest Common Factor of 2191,1699 By Matching Biggest Common Factor Method

Now, list down the factors of 2191

:

1,7,313,2191

Now, list down the factors of 1699

:

1,1699

Greatest Common Factor

We found the factors 2191,1699 . The biggest common factor number is the GCF number.
So the greatest common factor 2191,1699 is 1.

Lets's calculate LCM of 421,421

Lowest Common Multiple of 421,421 using Common Division

421 421, 421
1, 1

∴ So the LCM of the given numbers is 421 x 1 x 1 = 421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421

Therefore, the GCF of Fractions 2191/421,1699/421 is 1/421

Least Common Multiple of 421,421 with GCF Formula

Least Common Multiple of 421,421 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 421,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,421) = 421

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

GCF(421,421) x common factors =421 x 1 = 421

LCM(421,421) = ( 421 × 421 ) / 421

LCM(421,421) = 177241 / 421

LCM(421,421) = 421


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FAQs on GCF of Fractions of 2191/421, 1699/421

1. What is the HCF of 2191,1699?

The HCF of 2191,1699 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 2191/421, 1699/421?

Answer: GCF of Numerators as per given numbers 2191/421, 1699/421 is

GCF of Numerators i.e. for 2191,1699 is 1

LCM of denominators i.e. for 421,421 is 421.

Thus, GCF of Fractions is 1/421.Finally, GCF of Fractions for 2191/421, 1699/421 is 1/421.