Highest Common Factor of 150, 261, 385, 662 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 150, 261, 385, 662 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 150, 261, 385, 662 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 150, 261, 385, 662 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 150, 261, 385, 662 is 1.

HCF(150, 261, 385, 662) = 1

HCF of 150, 261, 385, 662 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 150, 261, 385, 662 is 1.

Highest Common Factor of 150,261,385,662 using Euclid's algorithm

Highest Common Factor of 150,261,385,662 is 1

Step 1: Since 261 > 150, we apply the division lemma to 261 and 150, to get

261 = 150 x 1 + 111

Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 111 and 150, to get

150 = 111 x 1 + 39

Step 3: We consider the new divisor 111 and the new remainder 39, and apply the division lemma to get

111 = 39 x 2 + 33

We consider the new divisor 39 and the new remainder 33,and apply the division lemma to get

39 = 33 x 1 + 6

We consider the new divisor 33 and the new remainder 6,and apply the division lemma to get

33 = 6 x 5 + 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 150 and 261 is 3

Notice that 3 = HCF(6,3) = HCF(33,6) = HCF(39,33) = HCF(111,39) = HCF(150,111) = HCF(261,150) .


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

Step 1: Since 385 > 3, we apply the division lemma to 385 and 3, to get

385 = 3 x 128 + 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 385 is 1

Notice that 1 = HCF(3,1) = HCF(385,3) .


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

Step 1: Since 662 > 1, we apply the division lemma to 662 and 1, to get

662 = 1 x 662 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 662 is 1

Notice that 1 = HCF(662,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 150, 261, 385, 662 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 150, 261, 385, 662?

Answer: HCF of 150, 261, 385, 662 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 150, 261, 385, 662 using Euclid's Algorithm?

Answer: For arbitrary numbers 150, 261, 385, 662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.