Highest Common Factor of 4022, 2763, 22291 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 4022, 2763, 22291 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4022, 2763, 22291 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 4022, 2763, 22291 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 4022, 2763, 22291 is 1.

HCF(4022, 2763, 22291) = 1

HCF of 4022, 2763, 22291 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 4022, 2763, 22291 is 1.

Highest Common Factor of 4022,2763,22291 using Euclid's algorithm

Highest Common Factor of 4022,2763,22291 is 1

Step 1: Since 4022 > 2763, we apply the division lemma to 4022 and 2763, to get

4022 = 2763 x 1 + 1259

Step 2: Since the reminder 2763 ≠ 0, we apply division lemma to 1259 and 2763, to get

2763 = 1259 x 2 + 245

Step 3: We consider the new divisor 1259 and the new remainder 245, and apply the division lemma to get

1259 = 245 x 5 + 34

We consider the new divisor 245 and the new remainder 34,and apply the division lemma to get

245 = 34 x 7 + 7

We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get

34 = 7 x 4 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4022 and 2763 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(245,34) = HCF(1259,245) = HCF(2763,1259) = HCF(4022,2763) .

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

Step 1: Since 22291 > 1, we apply the division lemma to 22291 and 1, to get

22291 = 1 x 22291 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22291 is 1

Notice that 1 = HCF(22291,1) .

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Frequently Asked Questions on HCF of 4022, 2763, 22291 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 4022, 2763, 22291?

Answer: HCF of 4022, 2763, 22291 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4022, 2763, 22291 using Euclid's Algorithm?

Answer: For arbitrary numbers 4022, 2763, 22291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.