Highest Common Factor of 1135, 9022, 38138 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 1135, 9022, 38138 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1135, 9022, 38138 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 1135, 9022, 38138 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 1135, 9022, 38138 is 1.

HCF(1135, 9022, 38138) = 1

HCF of 1135, 9022, 38138 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 1135, 9022, 38138 is 1.

Highest Common Factor of 1135,9022,38138 using Euclid's algorithm

Highest Common Factor of 1135,9022,38138 is 1

Step 1: Since 9022 > 1135, we apply the division lemma to 9022 and 1135, to get

9022 = 1135 x 7 + 1077

Step 2: Since the reminder 1135 ≠ 0, we apply division lemma to 1077 and 1135, to get

1135 = 1077 x 1 + 58

Step 3: We consider the new divisor 1077 and the new remainder 58, and apply the division lemma to get

1077 = 58 x 18 + 33

We consider the new divisor 58 and the new remainder 33,and apply the division lemma to get

58 = 33 x 1 + 25

We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get

33 = 25 x 1 + 8

We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get

25 = 8 x 3 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1135 and 9022 is 1

Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(58,33) = HCF(1077,58) = HCF(1135,1077) = HCF(9022,1135) .

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

Step 1: Since 38138 > 1, we apply the division lemma to 38138 and 1, to get

38138 = 1 x 38138 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38138 is 1

Notice that 1 = HCF(38138,1) .

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Frequently Asked Questions on HCF of 1135, 9022, 38138 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 1135, 9022, 38138?

Answer: HCF of 1135, 9022, 38138 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1135, 9022, 38138 using Euclid's Algorithm?

Answer: For arbitrary numbers 1135, 9022, 38138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.