Highest Common Factor of 2932, 4605 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 2932, 4605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2932, 4605 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 2932, 4605 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 2932, 4605 is 1.

HCF(2932, 4605) = 1

HCF of 2932, 4605 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 2932, 4605 is 1.

Highest Common Factor of 2932,4605 using Euclid's algorithm

Highest Common Factor of 2932,4605 is 1

Step 1: Since 4605 > 2932, we apply the division lemma to 4605 and 2932, to get

4605 = 2932 x 1 + 1673

Step 2: Since the reminder 2932 ≠ 0, we apply division lemma to 1673 and 2932, to get

2932 = 1673 x 1 + 1259

Step 3: We consider the new divisor 1673 and the new remainder 1259, and apply the division lemma to get

1673 = 1259 x 1 + 414

We consider the new divisor 1259 and the new remainder 414,and apply the division lemma to get

1259 = 414 x 3 + 17

We consider the new divisor 414 and the new remainder 17,and apply the division lemma to get

414 = 17 x 24 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 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 2932 and 4605 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(414,17) = HCF(1259,414) = HCF(1673,1259) = HCF(2932,1673) = HCF(4605,2932) .

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Frequently Asked Questions on HCF of 2932, 4605 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 2932, 4605?

Answer: HCF of 2932, 4605 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2932, 4605 using Euclid's Algorithm?

Answer: For arbitrary numbers 2932, 4605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.