Highest Common Factor of 3395, 5298 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 3395, 5298 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3395, 5298 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 3395, 5298 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 3395, 5298 is 1.

HCF(3395, 5298) = 1

HCF of 3395, 5298 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 3395, 5298 is 1.

Highest Common Factor of 3395,5298 using Euclid's algorithm

Highest Common Factor of 3395,5298 is 1

Step 1: Since 5298 > 3395, we apply the division lemma to 5298 and 3395, to get

5298 = 3395 x 1 + 1903

Step 2: Since the reminder 3395 ≠ 0, we apply division lemma to 1903 and 3395, to get

3395 = 1903 x 1 + 1492

Step 3: We consider the new divisor 1903 and the new remainder 1492, and apply the division lemma to get

1903 = 1492 x 1 + 411

We consider the new divisor 1492 and the new remainder 411,and apply the division lemma to get

1492 = 411 x 3 + 259

We consider the new divisor 411 and the new remainder 259,and apply the division lemma to get

411 = 259 x 1 + 152

We consider the new divisor 259 and the new remainder 152,and apply the division lemma to get

259 = 152 x 1 + 107

We consider the new divisor 152 and the new remainder 107,and apply the division lemma to get

152 = 107 x 1 + 45

We consider the new divisor 107 and the new remainder 45,and apply the division lemma to get

107 = 45 x 2 + 17

We consider the new divisor 45 and the new remainder 17,and apply the division lemma to get

45 = 17 x 2 + 11

We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get

17 = 11 x 1 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3395 and 5298 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(45,17) = HCF(107,45) = HCF(152,107) = HCF(259,152) = HCF(411,259) = HCF(1492,411) = HCF(1903,1492) = HCF(3395,1903) = HCF(5298,3395) .

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Frequently Asked Questions on HCF of 3395, 5298 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 3395, 5298?

Answer: HCF of 3395, 5298 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3395, 5298 using Euclid's Algorithm?

Answer: For arbitrary numbers 3395, 5298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.