Highest Common Factor of 1435, 3898 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 1435, 3898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1435, 3898 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 1435, 3898 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 1435, 3898 is 1.

HCF(1435, 3898) = 1

HCF of 1435, 3898 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 1435, 3898 is 1.

Highest Common Factor of 1435,3898 using Euclid's algorithm

Highest Common Factor of 1435,3898 is 1

Step 1: Since 3898 > 1435, we apply the division lemma to 3898 and 1435, to get

3898 = 1435 x 2 + 1028

Step 2: Since the reminder 1435 ≠ 0, we apply division lemma to 1028 and 1435, to get

1435 = 1028 x 1 + 407

Step 3: We consider the new divisor 1028 and the new remainder 407, and apply the division lemma to get

1028 = 407 x 2 + 214

We consider the new divisor 407 and the new remainder 214,and apply the division lemma to get

407 = 214 x 1 + 193

We consider the new divisor 214 and the new remainder 193,and apply the division lemma to get

214 = 193 x 1 + 21

We consider the new divisor 193 and the new remainder 21,and apply the division lemma to get

193 = 21 x 9 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 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 1435 and 3898 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(193,21) = HCF(214,193) = HCF(407,214) = HCF(1028,407) = HCF(1435,1028) = HCF(3898,1435) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 1435, 3898 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 1435, 3898?

Answer: HCF of 1435, 3898 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1435, 3898 using Euclid's Algorithm?

Answer: For arbitrary numbers 1435, 3898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.