Highest Common Factor of 4064, 6987 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 4064, 6987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4064, 6987 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 4064, 6987 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 4064, 6987 is 1.

HCF(4064, 6987) = 1

HCF of 4064, 6987 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 4064, 6987 is 1.

Highest Common Factor of 4064,6987 using Euclid's algorithm

Highest Common Factor of 4064,6987 is 1

Step 1: Since 6987 > 4064, we apply the division lemma to 6987 and 4064, to get

6987 = 4064 x 1 + 2923

Step 2: Since the reminder 4064 ≠ 0, we apply division lemma to 2923 and 4064, to get

4064 = 2923 x 1 + 1141

Step 3: We consider the new divisor 2923 and the new remainder 1141, and apply the division lemma to get

2923 = 1141 x 2 + 641

We consider the new divisor 1141 and the new remainder 641,and apply the division lemma to get

1141 = 641 x 1 + 500

We consider the new divisor 641 and the new remainder 500,and apply the division lemma to get

641 = 500 x 1 + 141

We consider the new divisor 500 and the new remainder 141,and apply the division lemma to get

500 = 141 x 3 + 77

We consider the new divisor 141 and the new remainder 77,and apply the division lemma to get

141 = 77 x 1 + 64

We consider the new divisor 77 and the new remainder 64,and apply the division lemma to get

77 = 64 x 1 + 13

We consider the new divisor 64 and the new remainder 13,and apply the division lemma to get

64 = 13 x 4 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4064 and 6987 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(64,13) = HCF(77,64) = HCF(141,77) = HCF(500,141) = HCF(641,500) = HCF(1141,641) = HCF(2923,1141) = HCF(4064,2923) = HCF(6987,4064) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 4064, 6987 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 4064, 6987?

Answer: HCF of 4064, 6987 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4064, 6987 using Euclid's Algorithm?

Answer: For arbitrary numbers 4064, 6987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.