Highest Common Factor of 6525, 7646, 44241 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 6525, 7646, 44241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6525, 7646, 44241 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 6525, 7646, 44241 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 6525, 7646, 44241 is 1.

HCF(6525, 7646, 44241) = 1

HCF of 6525, 7646, 44241 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 6525, 7646, 44241 is 1.

Highest Common Factor of 6525,7646,44241 using Euclid's algorithm

Highest Common Factor of 6525,7646,44241 is 1

Step 1: Since 7646 > 6525, we apply the division lemma to 7646 and 6525, to get

7646 = 6525 x 1 + 1121

Step 2: Since the reminder 6525 ≠ 0, we apply division lemma to 1121 and 6525, to get

6525 = 1121 x 5 + 920

Step 3: We consider the new divisor 1121 and the new remainder 920, and apply the division lemma to get

1121 = 920 x 1 + 201

We consider the new divisor 920 and the new remainder 201,and apply the division lemma to get

920 = 201 x 4 + 116

We consider the new divisor 201 and the new remainder 116,and apply the division lemma to get

201 = 116 x 1 + 85

We consider the new divisor 116 and the new remainder 85,and apply the division lemma to get

116 = 85 x 1 + 31

We consider the new divisor 85 and the new remainder 31,and apply the division lemma to get

85 = 31 x 2 + 23

We consider the new divisor 31 and the new remainder 23,and apply the division lemma to get

31 = 23 x 1 + 8

We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get

23 = 8 x 2 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6525 and 7646 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(31,23) = HCF(85,31) = HCF(116,85) = HCF(201,116) = HCF(920,201) = HCF(1121,920) = HCF(6525,1121) = HCF(7646,6525) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 44241 > 1, we apply the division lemma to 44241 and 1, to get

44241 = 1 x 44241 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44241 is 1

Notice that 1 = HCF(44241,1) .

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Frequently Asked Questions on HCF of 6525, 7646, 44241 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 6525, 7646, 44241?

Answer: HCF of 6525, 7646, 44241 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6525, 7646, 44241 using Euclid's Algorithm?

Answer: For arbitrary numbers 6525, 7646, 44241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.