Highest Common Factor of 7202, 9405, 77252 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 7202, 9405, 77252 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7202, 9405, 77252 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 7202, 9405, 77252 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 7202, 9405, 77252 is 1.

HCF(7202, 9405, 77252) = 1

HCF of 7202, 9405, 77252 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 7202, 9405, 77252 is 1.

Highest Common Factor of 7202,9405,77252 using Euclid's algorithm

Highest Common Factor of 7202,9405,77252 is 1

Step 1: Since 9405 > 7202, we apply the division lemma to 9405 and 7202, to get

9405 = 7202 x 1 + 2203

Step 2: Since the reminder 7202 ≠ 0, we apply division lemma to 2203 and 7202, to get

7202 = 2203 x 3 + 593

Step 3: We consider the new divisor 2203 and the new remainder 593, and apply the division lemma to get

2203 = 593 x 3 + 424

We consider the new divisor 593 and the new remainder 424,and apply the division lemma to get

593 = 424 x 1 + 169

We consider the new divisor 424 and the new remainder 169,and apply the division lemma to get

424 = 169 x 2 + 86

We consider the new divisor 169 and the new remainder 86,and apply the division lemma to get

169 = 86 x 1 + 83

We consider the new divisor 86 and the new remainder 83,and apply the division lemma to get

86 = 83 x 1 + 3

We consider the new divisor 83 and the new remainder 3,and apply the division lemma to get

83 = 3 x 27 + 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 7202 and 9405 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(83,3) = HCF(86,83) = HCF(169,86) = HCF(424,169) = HCF(593,424) = HCF(2203,593) = HCF(7202,2203) = HCF(9405,7202) .

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

Step 1: Since 77252 > 1, we apply the division lemma to 77252 and 1, to get

77252 = 1 x 77252 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77252 is 1

Notice that 1 = HCF(77252,1) .

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Frequently Asked Questions on HCF of 7202, 9405, 77252 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 7202, 9405, 77252?

Answer: HCF of 7202, 9405, 77252 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7202, 9405, 77252 using Euclid's Algorithm?

Answer: For arbitrary numbers 7202, 9405, 77252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.