Highest Common Factor of 3537, 5551, 97445 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 3537, 5551, 97445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3537, 5551, 97445 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 3537, 5551, 97445 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 3537, 5551, 97445 is 1.

HCF(3537, 5551, 97445) = 1

HCF of 3537, 5551, 97445 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 3537, 5551, 97445 is 1.

Highest Common Factor of 3537,5551,97445 using Euclid's algorithm

Highest Common Factor of 3537,5551,97445 is 1

Step 1: Since 5551 > 3537, we apply the division lemma to 5551 and 3537, to get

5551 = 3537 x 1 + 2014

Step 2: Since the reminder 3537 ≠ 0, we apply division lemma to 2014 and 3537, to get

3537 = 2014 x 1 + 1523

Step 3: We consider the new divisor 2014 and the new remainder 1523, and apply the division lemma to get

2014 = 1523 x 1 + 491

We consider the new divisor 1523 and the new remainder 491,and apply the division lemma to get

1523 = 491 x 3 + 50

We consider the new divisor 491 and the new remainder 50,and apply the division lemma to get

491 = 50 x 9 + 41

We consider the new divisor 50 and the new remainder 41,and apply the division lemma to get

50 = 41 x 1 + 9

We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get

41 = 9 x 4 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 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 3537 and 5551 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(50,41) = HCF(491,50) = HCF(1523,491) = HCF(2014,1523) = HCF(3537,2014) = HCF(5551,3537) .

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

Step 1: Since 97445 > 1, we apply the division lemma to 97445 and 1, to get

97445 = 1 x 97445 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97445 is 1

Notice that 1 = HCF(97445,1) .

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Frequently Asked Questions on HCF of 3537, 5551, 97445 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 3537, 5551, 97445?

Answer: HCF of 3537, 5551, 97445 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3537, 5551, 97445 using Euclid's Algorithm?

Answer: For arbitrary numbers 3537, 5551, 97445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.