Highest Common Factor of 357, 207, 601 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 357, 207, 601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 357, 207, 601 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 357, 207, 601 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 357, 207, 601 is 1.

HCF(357, 207, 601) = 1

HCF of 357, 207, 601 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 357, 207, 601 is 1.

Highest Common Factor of 357,207,601 using Euclid's algorithm

Highest Common Factor of 357,207,601 is 1

Step 1: Since 357 > 207, we apply the division lemma to 357 and 207, to get

357 = 207 x 1 + 150

Step 2: Since the reminder 207 ≠ 0, we apply division lemma to 150 and 207, to get

207 = 150 x 1 + 57

Step 3: We consider the new divisor 150 and the new remainder 57, and apply the division lemma to get

150 = 57 x 2 + 36

We consider the new divisor 57 and the new remainder 36,and apply the division lemma to get

57 = 36 x 1 + 21

We consider the new divisor 36 and the new remainder 21,and apply the division lemma to get

36 = 21 x 1 + 15

We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get

21 = 15 x 1 + 6

We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get

15 = 6 x 2 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 357 and 207 is 3

Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(36,21) = HCF(57,36) = HCF(150,57) = HCF(207,150) = HCF(357,207) .


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

Step 1: Since 601 > 3, we apply the division lemma to 601 and 3, to get

601 = 3 x 200 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 601 is 1

Notice that 1 = HCF(3,1) = HCF(601,3) .

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Frequently Asked Questions on HCF of 357, 207, 601 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 357, 207, 601?

Answer: HCF of 357, 207, 601 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 357, 207, 601 using Euclid's Algorithm?

Answer: For arbitrary numbers 357, 207, 601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.