How to Find GCF of 166/463, 498/862?

GCF of 166/463, 498/862

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 166/463, 498/862 i.e 166/399106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/463, 498/862.

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 166/463,498/862?

Given fractions are 166/463,498/862

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 166/463,498/862, numerators are 166,498

Denominators are 463,862

The GCF of 166,498 is 166 .

LCM of 463,862 is 399106.

The greatest common factor of 166/463,498/862 = [GCF of 166,498]/[LCM of 463,862]= 166/399106

Therefore, the GCF of 166/463,498/862 is 166/399106.

Greatest Common Factor of 166,498

To find the highest common factor of 166,498, we have to find the factors of both numbers and list the highest common factor.

The factors of 166 are 1, 2, 83, 166

The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498

The HCF of 166,498 is 166.

Lets's calculate GCF of 166,498

Greatest Common Factor (GCF) of 166,498 By Common Division

2	166, 498
83	83, 249
	1, 3

∴ So the GCF of the given numbers is 2 x 83 = 166

Greatest Common Factor of 166,498 By Matching Biggest Common Factor Method

Now, list down the factors of 166

1,2,83,166

Now, list down the factors of 498

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 166,498 . The biggest common factor number is the GCF number.
So the greatest common factor 166,498 is 166.

Lets's calculate LCM of 463,862

Lowest Common Multiple of 463,862 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 399106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 166/399106

Therefore, the GCF of Fractions 166/463,498/862 is 166/399106

Least Common Multiple of 463,862 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 463,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,862) = 1

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

GCF(463,862) x common factors =1 x 1 = 1

LCM(463,862) = ( 463 × 862 ) / 1

LCM(463,862) = 399106 / 1

LCM(463,862) = 399106

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FAQs on GCF of Fractions of 166/463, 498/862

1. What is the HCF of 166,498?

The HCF of 166,498 is 166

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 166/463, 498/862?

Answer: GCF of Numerators as per given numbers 166/463, 498/862 is

GCF of Numerators i.e. for 166,498 is 166

LCM of denominators i.e. for 463,862 is 399106.

Thus, GCF of Fractions is 166/399106.Finally, GCF of Fractions for 166/463, 498/862 is 166/399106.