Highest Common Factor of 2485, 3202 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 2485, 3202 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2485, 3202 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 2485, 3202 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 2485, 3202 is 1.

HCF(2485, 3202) = 1

HCF of 2485, 3202 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 2485, 3202 is 1.

Highest Common Factor of 2485,3202 using Euclid's algorithm

Highest Common Factor of 2485,3202 is 1

Step 1: Since 3202 > 2485, we apply the division lemma to 3202 and 2485, to get

3202 = 2485 x 1 + 717

Step 2: Since the reminder 2485 ≠ 0, we apply division lemma to 717 and 2485, to get

2485 = 717 x 3 + 334

Step 3: We consider the new divisor 717 and the new remainder 334, and apply the division lemma to get

717 = 334 x 2 + 49

We consider the new divisor 334 and the new remainder 49,and apply the division lemma to get

334 = 49 x 6 + 40

We consider the new divisor 49 and the new remainder 40,and apply the division lemma to get

49 = 40 x 1 + 9

We consider the new divisor 40 and the new remainder 9,and apply the division lemma to get

40 = 9 x 4 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2485 and 3202 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(40,9) = HCF(49,40) = HCF(334,49) = HCF(717,334) = HCF(2485,717) = HCF(3202,2485) .

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Frequently Asked Questions on HCF of 2485, 3202 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 2485, 3202?

Answer: HCF of 2485, 3202 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2485, 3202 using Euclid's Algorithm?

Answer: For arbitrary numbers 2485, 3202 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.