How to Find GCF of 43/824, 46/919, 470/719?

GCF of 43/824, 46/919, 470/719

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 43/824, 46/919, 470/719 i.e 1/544467064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/824, 46/919, 470/719.

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 43/824,46/919,470/719?

Given fractions are 43/824,46/919,470/719

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 43/824,46/919,470/719, numerators are 43,46,470

Denominators are 824,919,719

The GCF of 43,46,470 is 1 .

LCM of 824,919,719 is 544467064.

The greatest common factor of 43/824,46/919,470/719 = [GCF of 43,46,470]/[LCM of 824,919,719]= 1/544467064

Therefore, the GCF of 43/824,46/919,470/719 is 1/544467064.

Greatest Common Factor of 43,46,470

To find the highest common factor of 43,46,470, 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 46 are 1, 2, 23, 46

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 43,46,470 is 1.

Lets's calculate GCF of 43,46,470

Greatest Common Factor (GCF) of 43,46,470 By Common Division

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

Greatest Common Factor of 43,46,470 By Matching Biggest Common Factor Method

Now, list down the factors of 43

1,43

Now, list down the factors of 46

1,2,23,46

Now, list down the factors of 470

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 43,46,470 . The biggest common factor number is the GCF number.
So the greatest common factor 43,46,470 is 1.

Lets's calculate LCM of 824,919,719

Lowest Common Multiple of 824,919,719 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 544467064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544467064

Therefore, the GCF of Fractions 43/824,46/919,470/719 is 1/544467064

Least Common Multiple of 824,919,719 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 824,919,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,919,719) = 1

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

GCF(824,919,719) x common factors =1 x 1 = 1

LCM(824,919,719) = ( 824 × 919 × 719 ) / 1

LCM(824,919,719) = 544467064 / 1

LCM(824,919,719) = 544467064

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 43/824, 46/919, 470/719

1. What is the HCF of 43,46,470?

The HCF of 43,46,470 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 43/824, 46/919, 470/719?

Answer: GCF of Numerators as per given numbers 43/824, 46/919, 470/719 is

GCF of Numerators i.e. for 43,46,470 is 1

LCM of denominators i.e. for 824,919,719 is 544467064.

Thus, GCF of Fractions is 1/544467064.Finally, GCF of Fractions for 43/824, 46/919, 470/719 is 1/544467064.