Highest Common Factor of 6714, 9367 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 6714, 9367 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6714, 9367 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 6714, 9367 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 6714, 9367 is 1.

HCF(6714, 9367) = 1

HCF of 6714, 9367 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 6714, 9367 is 1.

Highest Common Factor of 6714,9367 using Euclid's algorithm

Highest Common Factor of 6714,9367 is 1

Step 1: Since 9367 > 6714, we apply the division lemma to 9367 and 6714, to get

9367 = 6714 x 1 + 2653

Step 2: Since the reminder 6714 ≠ 0, we apply division lemma to 2653 and 6714, to get

6714 = 2653 x 2 + 1408

Step 3: We consider the new divisor 2653 and the new remainder 1408, and apply the division lemma to get

2653 = 1408 x 1 + 1245

We consider the new divisor 1408 and the new remainder 1245,and apply the division lemma to get

1408 = 1245 x 1 + 163

We consider the new divisor 1245 and the new remainder 163,and apply the division lemma to get

1245 = 163 x 7 + 104

We consider the new divisor 163 and the new remainder 104,and apply the division lemma to get

163 = 104 x 1 + 59

We consider the new divisor 104 and the new remainder 59,and apply the division lemma to get

104 = 59 x 1 + 45

We consider the new divisor 59 and the new remainder 45,and apply the division lemma to get

59 = 45 x 1 + 14

We consider the new divisor 45 and the new remainder 14,and apply the division lemma to get

45 = 14 x 3 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

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 6714 and 9367 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(45,14) = HCF(59,45) = HCF(104,59) = HCF(163,104) = HCF(1245,163) = HCF(1408,1245) = HCF(2653,1408) = HCF(6714,2653) = HCF(9367,6714) .

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Frequently Asked Questions on HCF of 6714, 9367 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 6714, 9367?

Answer: HCF of 6714, 9367 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6714, 9367 using Euclid's Algorithm?

Answer: For arbitrary numbers 6714, 9367 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.