Highest Common Factor of 3526, 6973, 24198 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 3526, 6973, 24198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3526, 6973, 24198 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 3526, 6973, 24198 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 3526, 6973, 24198 is 1.

HCF(3526, 6973, 24198) = 1

HCF of 3526, 6973, 24198 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 3526, 6973, 24198 is 1.

Highest Common Factor of 3526,6973,24198 using Euclid's algorithm

Highest Common Factor of 3526,6973,24198 is 1

Step 1: Since 6973 > 3526, we apply the division lemma to 6973 and 3526, to get

6973 = 3526 x 1 + 3447

Step 2: Since the reminder 3526 ≠ 0, we apply division lemma to 3447 and 3526, to get

3526 = 3447 x 1 + 79

Step 3: We consider the new divisor 3447 and the new remainder 79, and apply the division lemma to get

3447 = 79 x 43 + 50

We consider the new divisor 79 and the new remainder 50,and apply the division lemma to get

79 = 50 x 1 + 29

We consider the new divisor 50 and the new remainder 29,and apply the division lemma to get

50 = 29 x 1 + 21

We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get

29 = 21 x 1 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3526 and 6973 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(50,29) = HCF(79,50) = HCF(3447,79) = HCF(3526,3447) = HCF(6973,3526) .

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

Step 1: Since 24198 > 1, we apply the division lemma to 24198 and 1, to get

24198 = 1 x 24198 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24198 is 1

Notice that 1 = HCF(24198,1) .

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Frequently Asked Questions on HCF of 3526, 6973, 24198 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 3526, 6973, 24198?

Answer: HCF of 3526, 6973, 24198 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3526, 6973, 24198 using Euclid's Algorithm?

Answer: For arbitrary numbers 3526, 6973, 24198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.