Highest Common Factor of 299, 55187 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 299, 55187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 299, 55187 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 299, 55187 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 299, 55187 is 1.

HCF(299, 55187) = 1

HCF of 299, 55187 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 299, 55187 is 1.

Highest Common Factor of 299,55187 using Euclid's algorithm

Highest Common Factor of 299,55187 is 1

Step 1: Since 55187 > 299, we apply the division lemma to 55187 and 299, to get

55187 = 299 x 184 + 171

Step 2: Since the reminder 299 ≠ 0, we apply division lemma to 171 and 299, to get

299 = 171 x 1 + 128

Step 3: We consider the new divisor 171 and the new remainder 128, and apply the division lemma to get

171 = 128 x 1 + 43

We consider the new divisor 128 and the new remainder 43,and apply the division lemma to get

128 = 43 x 2 + 42

We consider the new divisor 43 and the new remainder 42,and apply the division lemma to get

43 = 42 x 1 + 1

We consider the new divisor 42 and the new remainder 1,and apply the division lemma to get

42 = 1 x 42 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 299 and 55187 is 1

Notice that 1 = HCF(42,1) = HCF(43,42) = HCF(128,43) = HCF(171,128) = HCF(299,171) = HCF(55187,299) .

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Frequently Asked Questions on HCF of 299, 55187 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 299, 55187?

Answer: HCF of 299, 55187 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 299, 55187 using Euclid's Algorithm?

Answer: For arbitrary numbers 299, 55187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.