Highest Common Factor of 2062, 6174, 24901 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 2062, 6174, 24901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2062, 6174, 24901 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 2062, 6174, 24901 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 2062, 6174, 24901 is 1.

HCF(2062, 6174, 24901) = 1

HCF of 2062, 6174, 24901 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 2062, 6174, 24901 is 1.

Highest Common Factor of 2062,6174,24901 using Euclid's algorithm

Highest Common Factor of 2062,6174,24901 is 1

Step 1: Since 6174 > 2062, we apply the division lemma to 6174 and 2062, to get

6174 = 2062 x 2 + 2050

Step 2: Since the reminder 2062 ≠ 0, we apply division lemma to 2050 and 2062, to get

2062 = 2050 x 1 + 12

Step 3: We consider the new divisor 2050 and the new remainder 12, and apply the division lemma to get

2050 = 12 x 170 + 10

We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get

12 = 10 x 1 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2062 and 6174 is 2

Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(2050,12) = HCF(2062,2050) = HCF(6174,2062) .

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

Step 1: Since 24901 > 2, we apply the division lemma to 24901 and 2, to get

24901 = 2 x 12450 + 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 24901 is 1

Notice that 1 = HCF(2,1) = HCF(24901,2) .

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Frequently Asked Questions on HCF of 2062, 6174, 24901 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 2062, 6174, 24901?

Answer: HCF of 2062, 6174, 24901 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2062, 6174, 24901 using Euclid's Algorithm?

Answer: For arbitrary numbers 2062, 6174, 24901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.