Highest Common Factor of 669, 852, 767, 604 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 669, 852, 767, 604 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 669, 852, 767, 604 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 669, 852, 767, 604 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 669, 852, 767, 604 is 1.

HCF(669, 852, 767, 604) = 1

HCF of 669, 852, 767, 604 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 669, 852, 767, 604 is 1.

Highest Common Factor of 669,852,767,604 using Euclid's algorithm

Highest Common Factor of 669,852,767,604 is 1

Step 1: Since 852 > 669, we apply the division lemma to 852 and 669, to get

852 = 669 x 1 + 183

Step 2: Since the reminder 669 ≠ 0, we apply division lemma to 183 and 669, to get

669 = 183 x 3 + 120

Step 3: We consider the new divisor 183 and the new remainder 120, and apply the division lemma to get

183 = 120 x 1 + 63

We consider the new divisor 120 and the new remainder 63,and apply the division lemma to get

120 = 63 x 1 + 57

We consider the new divisor 63 and the new remainder 57,and apply the division lemma to get

63 = 57 x 1 + 6

We consider the new divisor 57 and the new remainder 6,and apply the division lemma to get

57 = 6 x 9 + 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 669 and 852 is 3

Notice that 3 = HCF(6,3) = HCF(57,6) = HCF(63,57) = HCF(120,63) = HCF(183,120) = HCF(669,183) = HCF(852,669) .

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

Step 1: Since 767 > 3, we apply the division lemma to 767 and 3, to get

767 = 3 x 255 + 2

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

3 = 2 x 1 + 1

Step 3: 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 3 and 767 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(767,3) .

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

Step 1: Since 604 > 1, we apply the division lemma to 604 and 1, to get

604 = 1 x 604 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 604 is 1

Notice that 1 = HCF(604,1) .

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Frequently Asked Questions on HCF of 669, 852, 767, 604 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 669, 852, 767, 604?

Answer: HCF of 669, 852, 767, 604 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 669, 852, 767, 604 using Euclid's Algorithm?

Answer: For arbitrary numbers 669, 852, 767, 604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.