Highest Common Factor of 669, 952, 855 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, 952, 855 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 669, 952, 855 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, 952, 855 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, 952, 855 is 1.

HCF(669, 952, 855) = 1

HCF of 669, 952, 855 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, 952, 855 is 1.

Highest Common Factor of 669,952,855 using Euclid's algorithm

Highest Common Factor of 669,952,855 is 1

Step 1: Since 952 > 669, we apply the division lemma to 952 and 669, to get

952 = 669 x 1 + 283

Step 2: Since the reminder 669 ≠ 0, we apply division lemma to 283 and 669, to get

669 = 283 x 2 + 103

Step 3: We consider the new divisor 283 and the new remainder 103, and apply the division lemma to get

283 = 103 x 2 + 77

We consider the new divisor 103 and the new remainder 77,and apply the division lemma to get

103 = 77 x 1 + 26

We consider the new divisor 77 and the new remainder 26,and apply the division lemma to get

77 = 26 x 2 + 25

We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get

26 = 25 x 1 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 669 and 952 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(77,26) = HCF(103,77) = HCF(283,103) = HCF(669,283) = HCF(952,669) .

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

Step 1: Since 855 > 1, we apply the division lemma to 855 and 1, to get

855 = 1 x 855 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 855 is 1

Notice that 1 = HCF(855,1) .

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Frequently Asked Questions on HCF of 669, 952, 855 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, 952, 855?

Answer: HCF of 669, 952, 855 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 669, 952, 855 using Euclid's Algorithm?

Answer: For arbitrary numbers 669, 952, 855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.