How to Find GCF of 43/58, 633/40, 374/279?

GCF of 43/58, 633/40, 374/279

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 43/58, 633/40, 374/279 i.e 1/323640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/58, 633/40, 374/279.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 43/58,633/40,374/279?

Given fractions are 43/58,633/40,374/279

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 43/58,633/40,374/279, numerators are 43,633,374

Denominators are 58,40,279

The GCF of 43,633,374 is 1 .

LCM of 58,40,279 is 323640.

The greatest common factor of 43/58,633/40,374/279 = [GCF of 43,633,374]/[LCM of 58,40,279]= 1/323640

Therefore, the GCF of 43/58,633/40,374/279 is 1/323640.

Greatest Common Factor of 43,633,374

To find the highest common factor of 43,633,374, we have to find the factors of both numbers and list the highest common factor.

The factors of 43 are 1, 43

The factors of 633 are 1, 3, 211, 633

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The HCF of 43,633,374 is 1.

Lets's calculate GCF of 43,633,374

Greatest Common Factor (GCF) of 43,633,374 By Common Division

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

Greatest Common Factor of 43,633,374 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 633

1,3,211,633

Now, list down the factors of 374

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 43,633,374 . The biggest common factor number is the GCF number.
So the greatest common factor 43,633,374 is 1.

Lets's calculate LCM of 58,40,279

Lowest Common Multiple of 58,40,279 using Common Division

2	58, 40, 279
	29, 20, 279

∴ So the LCM of the given numbers is 2 x 29 x 20 x 279 = 323640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323640

Therefore, the GCF of Fractions 43/58,633/40,374/279 is 1/323640

Least Common Multiple of 58,40,279 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 58,40,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,40,279) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,40,279) x common factors =1 x 2 = 2

LCM(58,40,279) = ( 58 × 40 × 279 ) / 2

LCM(58,40,279) = 647280 / 2

LCM(58,40,279) = 323640

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FAQs on GCF of Fractions of 43/58, 633/40, 374/279

1. What is the HCF of 43,633,374?

The HCF of 43,633,374 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 43/58, 633/40, 374/279?

Answer: GCF of Numerators as per given numbers 43/58, 633/40, 374/279 is

GCF of Numerators i.e. for 43,633,374 is 1

LCM of denominators i.e. for 58,40,279 is 323640.

Thus, GCF of Fractions is 1/323640.Finally, GCF of Fractions for 43/58, 633/40, 374/279 is 1/323640.