Highest Common Factor of 7011, 5923 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 7011, 5923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7011, 5923 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 7011, 5923 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 7011, 5923 is 1.

HCF(7011, 5923) = 1

HCF of 7011, 5923 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7011, 5923 is 1.

Highest Common Factor of 7011,5923 using Euclid's algorithm

Highest Common Factor of 7011,5923 is 1

Step 1: Since 7011 > 5923, we apply the division lemma to 7011 and 5923, to get

7011 = 5923 x 1 + 1088

Step 2: Since the reminder 5923 ≠ 0, we apply division lemma to 1088 and 5923, to get

5923 = 1088 x 5 + 483

Step 3: We consider the new divisor 1088 and the new remainder 483, and apply the division lemma to get

1088 = 483 x 2 + 122

We consider the new divisor 483 and the new remainder 122,and apply the division lemma to get

483 = 122 x 3 + 117

We consider the new divisor 122 and the new remainder 117,and apply the division lemma to get

122 = 117 x 1 + 5

We consider the new divisor 117 and the new remainder 5,and apply the division lemma to get

117 = 5 x 23 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 7011 and 5923 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(117,5) = HCF(122,117) = HCF(483,122) = HCF(1088,483) = HCF(5923,1088) = HCF(7011,5923) .

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Frequently Asked Questions on HCF of 7011, 5923 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 7011, 5923?

Answer: HCF of 7011, 5923 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7011, 5923 using Euclid's Algorithm?

Answer: For arbitrary numbers 7011, 5923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.