How to Find GCF of 43/398, 676/494, 759/314?

GCF of 43/398, 676/494, 759/314

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 43/398, 676/494, 759/314 i.e 1/15434042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/398, 676/494, 759/314.

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 43/398,676/494,759/314?

Given fractions are 43/398,676/494,759/314

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 43/398,676/494,759/314, numerators are 43,676,759

Denominators are 398,494,314

The GCF of 43,676,759 is 1 .

LCM of 398,494,314 is 15434042.

The greatest common factor of 43/398,676/494,759/314 = [GCF of 43,676,759]/[LCM of 398,494,314]= 1/15434042

Therefore, the GCF of 43/398,676/494,759/314 is 1/15434042.

Greatest Common Factor of 43,676,759

To find the highest common factor of 43,676,759, 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 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676

The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759

The HCF of 43,676,759 is 1.

Lets's calculate GCF of 43,676,759

Greatest Common Factor (GCF) of 43,676,759 By Common Division

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

Greatest Common Factor of 43,676,759 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 676

1,2,4,13,26,52,169,338,676

Now, list down the factors of 759

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 43,676,759 . The biggest common factor number is the GCF number.
So the greatest common factor 43,676,759 is 1.

Lets's calculate LCM of 398,494,314

Lowest Common Multiple of 398,494,314 using Common Division

2	398, 494, 314
	199, 247, 157

∴ So the LCM of the given numbers is 2 x 199 x 247 x 157 = 15434042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15434042

Therefore, the GCF of Fractions 43/398,676/494,759/314 is 1/15434042

Least Common Multiple of 398,494,314 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 398,494,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,494,314) = 2

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

GCF(398,494,314) x common factors =2 x 2 = 4

LCM(398,494,314) = ( 398 × 494 × 314 ) / 4

LCM(398,494,314) = 61736168 / 4

LCM(398,494,314) = 15434042

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 43/398, 676/494, 759/314

1. What is the HCF of 43,676,759?

The HCF of 43,676,759 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 43/398, 676/494, 759/314?

Answer: GCF of Numerators as per given numbers 43/398, 676/494, 759/314 is

GCF of Numerators i.e. for 43,676,759 is 1

LCM of denominators i.e. for 398,494,314 is 15434042.

Thus, GCF of Fractions is 1/15434042.Finally, GCF of Fractions for 43/398, 676/494, 759/314 is 1/15434042.