How to Find GCF of 199/436, 969/373, 846/455?

GCF of 199/436, 969/373, 846/455

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 199/436, 969/373, 846/455 i.e 1/73995740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 199/436, 969/373, 846/455.

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 199/436,969/373,846/455?

Given fractions are 199/436,969/373,846/455

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 199/436,969/373,846/455, numerators are 199,969,846

Denominators are 436,373,455

The GCF of 199,969,846 is 1 .

LCM of 436,373,455 is 73995740.

The greatest common factor of 199/436,969/373,846/455 = [GCF of 199,969,846]/[LCM of 436,373,455]= 1/73995740

Therefore, the GCF of 199/436,969/373,846/455 is 1/73995740.

Greatest Common Factor of 199,969,846

To find the highest common factor of 199,969,846, we have to find the factors of both numbers and list the highest common factor.

The factors of 199 are 1, 199

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The HCF of 199,969,846 is 1.

Lets's calculate GCF of 199,969,846

Greatest Common Factor (GCF) of 199,969,846 By Common Division

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

Greatest Common Factor of 199,969,846 By Matching Biggest Common Factor Method

Now, list down the factors of 199

1,199

Now, list down the factors of 969

1,3,17,19,51,57,323,969

Now, list down the factors of 846

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 199,969,846 . The biggest common factor number is the GCF number.
So the greatest common factor 199,969,846 is 1.

Lets's calculate LCM of 436,373,455

Lowest Common Multiple of 436,373,455 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 73995740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73995740

Therefore, the GCF of Fractions 199/436,969/373,846/455 is 1/73995740

Least Common Multiple of 436,373,455 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 436,373,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,373,455) = 1

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

GCF(436,373,455) x common factors =1 x 1 = 1

LCM(436,373,455) = ( 436 × 373 × 455 ) / 1

LCM(436,373,455) = 73995740 / 1

LCM(436,373,455) = 73995740

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 199/436, 969/373, 846/455

1. What is the HCF of 199,969,846?

The HCF of 199,969,846 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 199/436, 969/373, 846/455?

Answer: GCF of Numerators as per given numbers 199/436, 969/373, 846/455 is

GCF of Numerators i.e. for 199,969,846 is 1

LCM of denominators i.e. for 436,373,455 is 73995740.

Thus, GCF of Fractions is 1/73995740.Finally, GCF of Fractions for 199/436, 969/373, 846/455 is 1/73995740.