Highest Common Factor of 7623, 7093, 24567 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 7623, 7093, 24567 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7623, 7093, 24567 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 7623, 7093, 24567 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 7623, 7093, 24567 is 1.

HCF(7623, 7093, 24567) = 1

HCF of 7623, 7093, 24567 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 7623, 7093, 24567 is 1.

Highest Common Factor of 7623,7093,24567 using Euclid's algorithm

Highest Common Factor of 7623,7093,24567 is 1

Step 1: Since 7623 > 7093, we apply the division lemma to 7623 and 7093, to get

7623 = 7093 x 1 + 530

Step 2: Since the reminder 7093 ≠ 0, we apply division lemma to 530 and 7093, to get

7093 = 530 x 13 + 203

Step 3: We consider the new divisor 530 and the new remainder 203, and apply the division lemma to get

530 = 203 x 2 + 124

We consider the new divisor 203 and the new remainder 124,and apply the division lemma to get

203 = 124 x 1 + 79

We consider the new divisor 124 and the new remainder 79,and apply the division lemma to get

124 = 79 x 1 + 45

We consider the new divisor 79 and the new remainder 45,and apply the division lemma to get

79 = 45 x 1 + 34

We consider the new divisor 45 and the new remainder 34,and apply the division lemma to get

45 = 34 x 1 + 11

We consider the new divisor 34 and the new remainder 11,and apply the division lemma to get

34 = 11 x 3 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7623 and 7093 is 1

Notice that 1 = HCF(11,1) = HCF(34,11) = HCF(45,34) = HCF(79,45) = HCF(124,79) = HCF(203,124) = HCF(530,203) = HCF(7093,530) = HCF(7623,7093) .

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

Step 1: Since 24567 > 1, we apply the division lemma to 24567 and 1, to get

24567 = 1 x 24567 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24567 is 1

Notice that 1 = HCF(24567,1) .

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Frequently Asked Questions on HCF of 7623, 7093, 24567 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 7623, 7093, 24567?

Answer: HCF of 7623, 7093, 24567 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7623, 7093, 24567 using Euclid's Algorithm?

Answer: For arbitrary numbers 7623, 7093, 24567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.