Highest Common Factor of 9066, 7574, 44001 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 9066, 7574, 44001 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9066, 7574, 44001 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 9066, 7574, 44001 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 9066, 7574, 44001 is 1.

HCF(9066, 7574, 44001) = 1

HCF of 9066, 7574, 44001 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 9066, 7574, 44001 is 1.

Highest Common Factor of 9066,7574,44001 using Euclid's algorithm

Highest Common Factor of 9066,7574,44001 is 1

Step 1: Since 9066 > 7574, we apply the division lemma to 9066 and 7574, to get

9066 = 7574 x 1 + 1492

Step 2: Since the reminder 7574 ≠ 0, we apply division lemma to 1492 and 7574, to get

7574 = 1492 x 5 + 114

Step 3: We consider the new divisor 1492 and the new remainder 114, and apply the division lemma to get

1492 = 114 x 13 + 10

We consider the new divisor 114 and the new remainder 10,and apply the division lemma to get

114 = 10 x 11 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9066 and 7574 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(114,10) = HCF(1492,114) = HCF(7574,1492) = HCF(9066,7574) .

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

Step 1: Since 44001 > 2, we apply the division lemma to 44001 and 2, to get

44001 = 2 x 22000 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 44001 is 1

Notice that 1 = HCF(2,1) = HCF(44001,2) .

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Frequently Asked Questions on HCF of 9066, 7574, 44001 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 9066, 7574, 44001?

Answer: HCF of 9066, 7574, 44001 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9066, 7574, 44001 using Euclid's Algorithm?

Answer: For arbitrary numbers 9066, 7574, 44001 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.