Highest Common Factor of 7023, 4481, 97881 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 7023, 4481, 97881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7023, 4481, 97881 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 7023, 4481, 97881 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 7023, 4481, 97881 is 1.

HCF(7023, 4481, 97881) = 1

HCF of 7023, 4481, 97881 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 7023, 4481, 97881 is 1.

Highest Common Factor of 7023,4481,97881 using Euclid's algorithm

Highest Common Factor of 7023,4481,97881 is 1

Step 1: Since 7023 > 4481, we apply the division lemma to 7023 and 4481, to get

7023 = 4481 x 1 + 2542

Step 2: Since the reminder 4481 ≠ 0, we apply division lemma to 2542 and 4481, to get

4481 = 2542 x 1 + 1939

Step 3: We consider the new divisor 2542 and the new remainder 1939, and apply the division lemma to get

2542 = 1939 x 1 + 603

We consider the new divisor 1939 and the new remainder 603,and apply the division lemma to get

1939 = 603 x 3 + 130

We consider the new divisor 603 and the new remainder 130,and apply the division lemma to get

603 = 130 x 4 + 83

We consider the new divisor 130 and the new remainder 83,and apply the division lemma to get

130 = 83 x 1 + 47

We consider the new divisor 83 and the new remainder 47,and apply the division lemma to get

83 = 47 x 1 + 36

We consider the new divisor 47 and the new remainder 36,and apply the division lemma to get

47 = 36 x 1 + 11

We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get

36 = 11 x 3 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 7023 and 4481 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(47,36) = HCF(83,47) = HCF(130,83) = HCF(603,130) = HCF(1939,603) = HCF(2542,1939) = HCF(4481,2542) = HCF(7023,4481) .

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

Step 1: Since 97881 > 1, we apply the division lemma to 97881 and 1, to get

97881 = 1 x 97881 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97881 is 1

Notice that 1 = HCF(97881,1) .

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Frequently Asked Questions on HCF of 7023, 4481, 97881 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 7023, 4481, 97881?

Answer: HCF of 7023, 4481, 97881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7023, 4481, 97881 using Euclid's Algorithm?

Answer: For arbitrary numbers 7023, 4481, 97881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.