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GCF of 693/214, 4643/940

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 693/214, 4643/940 i.e 1/100580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/214, 4643/940.

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 693/214,4643/940?

Given fractions are 693/214,4643/940

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 693/214,4643/940, numerators are 693,4643

Denominators are 214,940

The GCF of 693,4643 is 1 .

LCM of 214,940 is 100580.

The greatest common factor of 693/214,4643/940 = [GCF of 693,4643]/[LCM of 214,940]= 1/100580

Therefore, the GCF of 693/214,4643/940 is 1/100580.

Greatest Common Factor of 693,4643

To find the highest common factor of 693,4643, we have to find the factors of both numbers and list the highest common factor.

The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

The factors of 4643 are 1, 4643

The HCF of 693,4643 is 1.

Lets's calculate GCF of 693,4643

Greatest Common Factor (GCF) of 693,4643 By Common Division

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

Greatest Common Factor of 693,4643 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,4643 By Matching Biggest Common Factor Method

Now, list down the factors of 693

:

1,3,7,9,11,21,33,63,77,99,231,693

Now, list down the factors of 4643

:

1,4643

Greatest Common Factor

We found the factors 693,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 693,4643 is 1.

Lets's calculate LCM of 214,940

Lowest Common Multiple of 214,940 using Common Division

2 214, 940
107, 470

∴ So the LCM of the given numbers is 2 x 107 x 470 = 100580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100580

Therefore, the GCF of Fractions 693/214,4643/940 is 1/100580

Least Common Multiple of 214,940 with GCF Formula

Least Common Multiple of 214,940 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 214,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,940) = 2

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

GCF(214,940) x common factors =2 x 1 = 2

LCM(214,940) = ( 214 × 940 ) / 2

LCM(214,940) = 201160 / 2

LCM(214,940) = 100580


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FAQs on GCF of Fractions of 693/214, 4643/940

1. What is the HCF of 693,4643?

The HCF of 693,4643 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 693/214, 4643/940?

Answer: GCF of Numerators as per given numbers 693/214, 4643/940 is

GCF of Numerators i.e. for 693,4643 is 1

LCM of denominators i.e. for 214,940 is 100580.

Thus, GCF of Fractions is 1/100580.Finally, GCF of Fractions for 693/214, 4643/940 is 1/100580.