How to Find GCF of 43/67, 131/84, 675/113?

GCF of 43/67, 131/84, 675/113

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 43/67, 131/84, 675/113 i.e 1/635964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/67, 131/84, 675/113.

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 43/67,131/84,675/113?

Given fractions are 43/67,131/84,675/113

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 43/67,131/84,675/113, numerators are 43,131,675

Denominators are 67,84,113

The GCF of 43,131,675 is 1 .

LCM of 67,84,113 is 635964.

The greatest common factor of 43/67,131/84,675/113 = [GCF of 43,131,675]/[LCM of 67,84,113]= 1/635964

Therefore, the GCF of 43/67,131/84,675/113 is 1/635964.

Greatest Common Factor of 43,131,675

To find the highest common factor of 43,131,675, 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 131 are 1, 131

The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

The HCF of 43,131,675 is 1.

Lets's calculate GCF of 43,131,675

Greatest Common Factor (GCF) of 43,131,675 By Common Division

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

Greatest Common Factor of 43,131,675 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 131

1,131

Now, list down the factors of 675

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 43,131,675 . The biggest common factor number is the GCF number.
So the greatest common factor 43,131,675 is 1.

Lets's calculate LCM of 67,84,113

Lowest Common Multiple of 67,84,113 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 635964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/635964

Therefore, the GCF of Fractions 43/67,131/84,675/113 is 1/635964

Least Common Multiple of 67,84,113 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 67,84,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,84,113) = 1

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

GCF(67,84,113) x common factors =1 x 1 = 1

LCM(67,84,113) = ( 67 × 84 × 113 ) / 1

LCM(67,84,113) = 635964 / 1

LCM(67,84,113) = 635964

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FAQs on GCF of Fractions of 43/67, 131/84, 675/113

1. What is the HCF of 43,131,675?

The HCF of 43,131,675 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 43/67, 131/84, 675/113?

Answer: GCF of Numerators as per given numbers 43/67, 131/84, 675/113 is

GCF of Numerators i.e. for 43,131,675 is 1

LCM of denominators i.e. for 67,84,113 is 635964.

Thus, GCF of Fractions is 1/635964.Finally, GCF of Fractions for 43/67, 131/84, 675/113 is 1/635964.