Highest Common Factor of 3935, 8596, 70066 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 3935, 8596, 70066 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3935, 8596, 70066 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 3935, 8596, 70066 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 3935, 8596, 70066 is 1.

HCF(3935, 8596, 70066) = 1

HCF of 3935, 8596, 70066 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 3935, 8596, 70066 is 1.

Highest Common Factor of 3935,8596,70066 using Euclid's algorithm

Highest Common Factor of 3935,8596,70066 is 1

Step 1: Since 8596 > 3935, we apply the division lemma to 8596 and 3935, to get

8596 = 3935 x 2 + 726

Step 2: Since the reminder 3935 ≠ 0, we apply division lemma to 726 and 3935, to get

3935 = 726 x 5 + 305

Step 3: We consider the new divisor 726 and the new remainder 305, and apply the division lemma to get

726 = 305 x 2 + 116

We consider the new divisor 305 and the new remainder 116,and apply the division lemma to get

305 = 116 x 2 + 73

We consider the new divisor 116 and the new remainder 73,and apply the division lemma to get

116 = 73 x 1 + 43

We consider the new divisor 73 and the new remainder 43,and apply the division lemma to get

73 = 43 x 1 + 30

We consider the new divisor 43 and the new remainder 30,and apply the division lemma to get

43 = 30 x 1 + 13

We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get

30 = 13 x 2 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 3935 and 8596 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(43,30) = HCF(73,43) = HCF(116,73) = HCF(305,116) = HCF(726,305) = HCF(3935,726) = HCF(8596,3935) .

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

Step 1: Since 70066 > 1, we apply the division lemma to 70066 and 1, to get

70066 = 1 x 70066 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70066 is 1

Notice that 1 = HCF(70066,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3935, 8596, 70066 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 3935, 8596, 70066?

Answer: HCF of 3935, 8596, 70066 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3935, 8596, 70066 using Euclid's Algorithm?

Answer: For arbitrary numbers 3935, 8596, 70066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.