Highest Common Factor of 4941, 7649 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 4941, 7649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4941, 7649 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 4941, 7649 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 4941, 7649 is 1.

HCF(4941, 7649) = 1

HCF of 4941, 7649 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 4941, 7649 is 1.

Highest Common Factor of 4941,7649 using Euclid's algorithm

Highest Common Factor of 4941,7649 is 1

Step 1: Since 7649 > 4941, we apply the division lemma to 7649 and 4941, to get

7649 = 4941 x 1 + 2708

Step 2: Since the reminder 4941 ≠ 0, we apply division lemma to 2708 and 4941, to get

4941 = 2708 x 1 + 2233

Step 3: We consider the new divisor 2708 and the new remainder 2233, and apply the division lemma to get

2708 = 2233 x 1 + 475

We consider the new divisor 2233 and the new remainder 475,and apply the division lemma to get

2233 = 475 x 4 + 333

We consider the new divisor 475 and the new remainder 333,and apply the division lemma to get

475 = 333 x 1 + 142

We consider the new divisor 333 and the new remainder 142,and apply the division lemma to get

333 = 142 x 2 + 49

We consider the new divisor 142 and the new remainder 49,and apply the division lemma to get

142 = 49 x 2 + 44

We consider the new divisor 49 and the new remainder 44,and apply the division lemma to get

49 = 44 x 1 + 5

We consider the new divisor 44 and the new remainder 5,and apply the division lemma to get

44 = 5 x 8 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 4941 and 7649 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(44,5) = HCF(49,44) = HCF(142,49) = HCF(333,142) = HCF(475,333) = HCF(2233,475) = HCF(2708,2233) = HCF(4941,2708) = HCF(7649,4941) .

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Frequently Asked Questions on HCF of 4941, 7649 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 4941, 7649?

Answer: HCF of 4941, 7649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4941, 7649 using Euclid's Algorithm?

Answer: For arbitrary numbers 4941, 7649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.