Highest Common Factor of 2699, 4554 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 2699, 4554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2699, 4554 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 2699, 4554 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 2699, 4554 is 1.

HCF(2699, 4554) = 1

HCF of 2699, 4554 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 2699, 4554 is 1.

Highest Common Factor of 2699,4554 using Euclid's algorithm

Highest Common Factor of 2699,4554 is 1

Step 1: Since 4554 > 2699, we apply the division lemma to 4554 and 2699, to get

4554 = 2699 x 1 + 1855

Step 2: Since the reminder 2699 ≠ 0, we apply division lemma to 1855 and 2699, to get

2699 = 1855 x 1 + 844

Step 3: We consider the new divisor 1855 and the new remainder 844, and apply the division lemma to get

1855 = 844 x 2 + 167

We consider the new divisor 844 and the new remainder 167,and apply the division lemma to get

844 = 167 x 5 + 9

We consider the new divisor 167 and the new remainder 9,and apply the division lemma to get

167 = 9 x 18 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2699 and 4554 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(167,9) = HCF(844,167) = HCF(1855,844) = HCF(2699,1855) = HCF(4554,2699) .

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Frequently Asked Questions on HCF of 2699, 4554 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 2699, 4554?

Answer: HCF of 2699, 4554 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2699, 4554 using Euclid's Algorithm?

Answer: For arbitrary numbers 2699, 4554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.