Highest Common Factor of 599, 390, 498 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 599, 390, 498 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 599, 390, 498 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 599, 390, 498 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 599, 390, 498 is 1.

HCF(599, 390, 498) = 1

HCF of 599, 390, 498 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 599, 390, 498 is 1.

Highest Common Factor of 599,390,498 using Euclid's algorithm

Highest Common Factor of 599,390,498 is 1

Step 1: Since 599 > 390, we apply the division lemma to 599 and 390, to get

599 = 390 x 1 + 209

Step 2: Since the reminder 390 ≠ 0, we apply division lemma to 209 and 390, to get

390 = 209 x 1 + 181

Step 3: We consider the new divisor 209 and the new remainder 181, and apply the division lemma to get

209 = 181 x 1 + 28

We consider the new divisor 181 and the new remainder 28,and apply the division lemma to get

181 = 28 x 6 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 599 and 390 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(181,28) = HCF(209,181) = HCF(390,209) = HCF(599,390) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 498 > 1, we apply the division lemma to 498 and 1, to get

498 = 1 x 498 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 498 is 1

Notice that 1 = HCF(498,1) .

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Frequently Asked Questions on HCF of 599, 390, 498 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 599, 390, 498?

Answer: HCF of 599, 390, 498 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 599, 390, 498 using Euclid's Algorithm?

Answer: For arbitrary numbers 599, 390, 498 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.