Highest Common Factor of 599, 265, 342, 487 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, 265, 342, 487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 599, 265, 342, 487 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, 265, 342, 487 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, 265, 342, 487 is 1.

HCF(599, 265, 342, 487) = 1

HCF of 599, 265, 342, 487 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, 265, 342, 487 is 1.

Highest Common Factor of 599,265,342,487 using Euclid's algorithm

Highest Common Factor of 599,265,342,487 is 1

Step 1: Since 599 > 265, we apply the division lemma to 599 and 265, to get

599 = 265 x 2 + 69

Step 2: Since the reminder 265 ≠ 0, we apply division lemma to 69 and 265, to get

265 = 69 x 3 + 58

Step 3: We consider the new divisor 69 and the new remainder 58, and apply the division lemma to get

69 = 58 x 1 + 11

We consider the new divisor 58 and the new remainder 11,and apply the division lemma to get

58 = 11 x 5 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 265 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(58,11) = HCF(69,58) = HCF(265,69) = HCF(599,265) .

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

Step 1: Since 342 > 1, we apply the division lemma to 342 and 1, to get

342 = 1 x 342 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 342 is 1

Notice that 1 = HCF(342,1) .

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

Step 1: Since 487 > 1, we apply the division lemma to 487 and 1, to get

487 = 1 x 487 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 487 is 1

Notice that 1 = HCF(487,1) .

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Frequently Asked Questions on HCF of 599, 265, 342, 487 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, 265, 342, 487?

Answer: HCF of 599, 265, 342, 487 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 599, 265, 342, 487 using Euclid's Algorithm?

Answer: For arbitrary numbers 599, 265, 342, 487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.