Greatest Common Factor of 349/891, 633/546, 471/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 349/891, 633/546, 471/421

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 349/891,633/546,471/421

Given fractions are 349/891,633/546,471/421

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 349,633,471

Greatest Common Factor of Numerators i.e. GCF of 349,633,471 is 1 .

LCM of Denominators means LCM of 891,546,421 as per the given fractions.

LCM of 891,546,421 is 68270202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 349,633,471

GCF of Fractions 349/891,633/546,471/421 is 1/68270202

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

Greatest Common Factor of 349,633,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,633,471 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 349,633,471 . The biggest common factor number is the GCF number.
So the greatest common factor 349,633,471 is 1.

Lets's calculate LCM of 891,546,421

3 891, 546, 421
297, 182, 421

∴ So the LCM of the given numbers is 3 x 297 x 182 x 421 = 68270202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68270202

Therefore, the GCF of Fractions 349/891,633/546,471/421 is 1/68270202

Least Common Multiple of 891,546,421 with GCF Formula

Least Common Multiple of 891,546,421 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 891,546,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,546,421) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(891,546,421) x common factors =1 x 3 = 3

LCM(891,546,421) = ( 891 × 546 × 421 ) / 3

LCM(891,546,421) = 204810606 / 3

LCM(891,546,421) = 68270202


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 349/891, 633/546, 471/421

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 349/891, 633/546, 471/421?

Answer: GCF of Numerators as per given numbers 349/891, 633/546, 471/421 is

GCF of Numerators i.e. for 349,633,471 is 1

LCM of denominators i.e. for 891,546,421 is 68270202.

Thus, GCF of Fractions is 1/68270202.Finally, GCF of Fractions for 349/891, 633/546, 471/421 is 1/68270202.