Highest Common Factor of 3670, 9507 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 3670, 9507 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3670, 9507 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 3670, 9507 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 3670, 9507 is 1.

HCF(3670, 9507) = 1

HCF of 3670, 9507 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 3670, 9507 is 1.

Highest Common Factor of 3670,9507 using Euclid's algorithm

Highest Common Factor of 3670,9507 is 1

Step 1: Since 9507 > 3670, we apply the division lemma to 9507 and 3670, to get

9507 = 3670 x 2 + 2167

Step 2: Since the reminder 3670 ≠ 0, we apply division lemma to 2167 and 3670, to get

3670 = 2167 x 1 + 1503

Step 3: We consider the new divisor 2167 and the new remainder 1503, and apply the division lemma to get

2167 = 1503 x 1 + 664

We consider the new divisor 1503 and the new remainder 664,and apply the division lemma to get

1503 = 664 x 2 + 175

We consider the new divisor 664 and the new remainder 175,and apply the division lemma to get

664 = 175 x 3 + 139

We consider the new divisor 175 and the new remainder 139,and apply the division lemma to get

175 = 139 x 1 + 36

We consider the new divisor 139 and the new remainder 36,and apply the division lemma to get

139 = 36 x 3 + 31

We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get

36 = 31 x 1 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3670 and 9507 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(139,36) = HCF(175,139) = HCF(664,175) = HCF(1503,664) = HCF(2167,1503) = HCF(3670,2167) = HCF(9507,3670) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3670, 9507 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 3670, 9507?

Answer: HCF of 3670, 9507 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3670, 9507 using Euclid's Algorithm?

Answer: For arbitrary numbers 3670, 9507 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.