Highest Common Factor of 6092, 6649, 90243 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 6092, 6649, 90243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6092, 6649, 90243 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 6092, 6649, 90243 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 6092, 6649, 90243 is 1.

HCF(6092, 6649, 90243) = 1

HCF of 6092, 6649, 90243 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 6092, 6649, 90243 is 1.

Highest Common Factor of 6092,6649,90243 using Euclid's algorithm

Highest Common Factor of 6092,6649,90243 is 1

Step 1: Since 6649 > 6092, we apply the division lemma to 6649 and 6092, to get

6649 = 6092 x 1 + 557

Step 2: Since the reminder 6092 ≠ 0, we apply division lemma to 557 and 6092, to get

6092 = 557 x 10 + 522

Step 3: We consider the new divisor 557 and the new remainder 522, and apply the division lemma to get

557 = 522 x 1 + 35

We consider the new divisor 522 and the new remainder 35,and apply the division lemma to get

522 = 35 x 14 + 32

We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get

35 = 32 x 1 + 3

We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get

32 = 3 x 10 + 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 6092 and 6649 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(522,35) = HCF(557,522) = HCF(6092,557) = HCF(6649,6092) .

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

Step 1: Since 90243 > 1, we apply the division lemma to 90243 and 1, to get

90243 = 1 x 90243 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90243 is 1

Notice that 1 = HCF(90243,1) .

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Frequently Asked Questions on HCF of 6092, 6649, 90243 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 6092, 6649, 90243?

Answer: HCF of 6092, 6649, 90243 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6092, 6649, 90243 using Euclid's Algorithm?

Answer: For arbitrary numbers 6092, 6649, 90243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.