Highest Common Factor of 3835, 3168, 70463 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 3835, 3168, 70463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3835, 3168, 70463 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 3835, 3168, 70463 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 3835, 3168, 70463 is 1.

HCF(3835, 3168, 70463) = 1

HCF of 3835, 3168, 70463 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 3835, 3168, 70463 is 1.

Highest Common Factor of 3835,3168,70463 using Euclid's algorithm

Highest Common Factor of 3835,3168,70463 is 1

Step 1: Since 3835 > 3168, we apply the division lemma to 3835 and 3168, to get

3835 = 3168 x 1 + 667

Step 2: Since the reminder 3168 ≠ 0, we apply division lemma to 667 and 3168, to get

3168 = 667 x 4 + 500

Step 3: We consider the new divisor 667 and the new remainder 500, and apply the division lemma to get

667 = 500 x 1 + 167

We consider the new divisor 500 and the new remainder 167,and apply the division lemma to get

500 = 167 x 2 + 166

We consider the new divisor 167 and the new remainder 166,and apply the division lemma to get

167 = 166 x 1 + 1

We consider the new divisor 166 and the new remainder 1,and apply the division lemma to get

166 = 1 x 166 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3835 and 3168 is 1

Notice that 1 = HCF(166,1) = HCF(167,166) = HCF(500,167) = HCF(667,500) = HCF(3168,667) = HCF(3835,3168) .

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

Step 1: Since 70463 > 1, we apply the division lemma to 70463 and 1, to get

70463 = 1 x 70463 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70463 is 1

Notice that 1 = HCF(70463,1) .

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Frequently Asked Questions on HCF of 3835, 3168, 70463 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 3835, 3168, 70463?

Answer: HCF of 3835, 3168, 70463 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3835, 3168, 70463 using Euclid's Algorithm?

Answer: For arbitrary numbers 3835, 3168, 70463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.