Highest Common Factor of 7531, 6622, 49061 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 7531, 6622, 49061 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7531, 6622, 49061 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 7531, 6622, 49061 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 7531, 6622, 49061 is 1.

HCF(7531, 6622, 49061) = 1

HCF of 7531, 6622, 49061 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 7531, 6622, 49061 is 1.

Highest Common Factor of 7531,6622,49061 using Euclid's algorithm

Highest Common Factor of 7531,6622,49061 is 1

Step 1: Since 7531 > 6622, we apply the division lemma to 7531 and 6622, to get

7531 = 6622 x 1 + 909

Step 2: Since the reminder 6622 ≠ 0, we apply division lemma to 909 and 6622, to get

6622 = 909 x 7 + 259

Step 3: We consider the new divisor 909 and the new remainder 259, and apply the division lemma to get

909 = 259 x 3 + 132

We consider the new divisor 259 and the new remainder 132,and apply the division lemma to get

259 = 132 x 1 + 127

We consider the new divisor 132 and the new remainder 127,and apply the division lemma to get

132 = 127 x 1 + 5

We consider the new divisor 127 and the new remainder 5,and apply the division lemma to get

127 = 5 x 25 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 7531 and 6622 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(127,5) = HCF(132,127) = HCF(259,132) = HCF(909,259) = HCF(6622,909) = HCF(7531,6622) .

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

Step 1: Since 49061 > 1, we apply the division lemma to 49061 and 1, to get

49061 = 1 x 49061 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49061 is 1

Notice that 1 = HCF(49061,1) .

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Frequently Asked Questions on HCF of 7531, 6622, 49061 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 7531, 6622, 49061?

Answer: HCF of 7531, 6622, 49061 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7531, 6622, 49061 using Euclid's Algorithm?

Answer: For arbitrary numbers 7531, 6622, 49061 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.