Highest Common Factor of 1673, 964 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 1673, 964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1673, 964 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 1673, 964 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 1673, 964 is 1.

HCF(1673, 964) = 1

HCF of 1673, 964 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 1673, 964 is 1.

Highest Common Factor of 1673,964 using Euclid's algorithm

Highest Common Factor of 1673,964 is 1

Step 1: Since 1673 > 964, we apply the division lemma to 1673 and 964, to get

1673 = 964 x 1 + 709

Step 2: Since the reminder 964 ≠ 0, we apply division lemma to 709 and 964, to get

964 = 709 x 1 + 255

Step 3: We consider the new divisor 709 and the new remainder 255, and apply the division lemma to get

709 = 255 x 2 + 199

We consider the new divisor 255 and the new remainder 199,and apply the division lemma to get

255 = 199 x 1 + 56

We consider the new divisor 199 and the new remainder 56,and apply the division lemma to get

199 = 56 x 3 + 31

We consider the new divisor 56 and the new remainder 31,and apply the division lemma to get

56 = 31 x 1 + 25

We consider the new divisor 31 and the new remainder 25,and apply the division lemma to get

31 = 25 x 1 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1673 and 964 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(31,25) = HCF(56,31) = HCF(199,56) = HCF(255,199) = HCF(709,255) = HCF(964,709) = HCF(1673,964) .

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Frequently Asked Questions on HCF of 1673, 964 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 1673, 964?

Answer: HCF of 1673, 964 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1673, 964 using Euclid's Algorithm?

Answer: For arbitrary numbers 1673, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.