Highest Common Factor of 4963, 3573 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 4963, 3573 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4963, 3573 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 4963, 3573 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 4963, 3573 is 1.

HCF(4963, 3573) = 1

HCF of 4963, 3573 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 4963, 3573 is 1.

Highest Common Factor of 4963,3573 using Euclid's algorithm

Highest Common Factor of 4963,3573 is 1

Step 1: Since 4963 > 3573, we apply the division lemma to 4963 and 3573, to get

4963 = 3573 x 1 + 1390

Step 2: Since the reminder 3573 ≠ 0, we apply division lemma to 1390 and 3573, to get

3573 = 1390 x 2 + 793

Step 3: We consider the new divisor 1390 and the new remainder 793, and apply the division lemma to get

1390 = 793 x 1 + 597

We consider the new divisor 793 and the new remainder 597,and apply the division lemma to get

793 = 597 x 1 + 196

We consider the new divisor 597 and the new remainder 196,and apply the division lemma to get

597 = 196 x 3 + 9

We consider the new divisor 196 and the new remainder 9,and apply the division lemma to get

196 = 9 x 21 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 4963 and 3573 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(196,9) = HCF(597,196) = HCF(793,597) = HCF(1390,793) = HCF(3573,1390) = HCF(4963,3573) .

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Frequently Asked Questions on HCF of 4963, 3573 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 4963, 3573?

Answer: HCF of 4963, 3573 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4963, 3573 using Euclid's Algorithm?

Answer: For arbitrary numbers 4963, 3573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.