Highest Common Factor of 5499, 4358, 69899 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 5499, 4358, 69899 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5499, 4358, 69899 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 5499, 4358, 69899 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 5499, 4358, 69899 is 1.

HCF(5499, 4358, 69899) = 1

HCF of 5499, 4358, 69899 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 5499, 4358, 69899 is 1.

Highest Common Factor of 5499,4358,69899 using Euclid's algorithm

Highest Common Factor of 5499,4358,69899 is 1

Step 1: Since 5499 > 4358, we apply the division lemma to 5499 and 4358, to get

5499 = 4358 x 1 + 1141

Step 2: Since the reminder 4358 ≠ 0, we apply division lemma to 1141 and 4358, to get

4358 = 1141 x 3 + 935

Step 3: We consider the new divisor 1141 and the new remainder 935, and apply the division lemma to get

1141 = 935 x 1 + 206

We consider the new divisor 935 and the new remainder 206,and apply the division lemma to get

935 = 206 x 4 + 111

We consider the new divisor 206 and the new remainder 111,and apply the division lemma to get

206 = 111 x 1 + 95

We consider the new divisor 111 and the new remainder 95,and apply the division lemma to get

111 = 95 x 1 + 16

We consider the new divisor 95 and the new remainder 16,and apply the division lemma to get

95 = 16 x 5 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5499 and 4358 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(95,16) = HCF(111,95) = HCF(206,111) = HCF(935,206) = HCF(1141,935) = HCF(4358,1141) = HCF(5499,4358) .

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

Step 1: Since 69899 > 1, we apply the division lemma to 69899 and 1, to get

69899 = 1 x 69899 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69899 is 1

Notice that 1 = HCF(69899,1) .

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Frequently Asked Questions on HCF of 5499, 4358, 69899 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 5499, 4358, 69899?

Answer: HCF of 5499, 4358, 69899 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5499, 4358, 69899 using Euclid's Algorithm?

Answer: For arbitrary numbers 5499, 4358, 69899 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.