Highest Common Factor of 5600, 3185, 86768 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 5600, 3185, 86768 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5600, 3185, 86768 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 5600, 3185, 86768 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 5600, 3185, 86768 is 1.

HCF(5600, 3185, 86768) = 1

HCF of 5600, 3185, 86768 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 5600, 3185, 86768 is 1.

Highest Common Factor of 5600,3185,86768 using Euclid's algorithm

Highest Common Factor of 5600,3185,86768 is 1

Step 1: Since 5600 > 3185, we apply the division lemma to 5600 and 3185, to get

5600 = 3185 x 1 + 2415

Step 2: Since the reminder 3185 ≠ 0, we apply division lemma to 2415 and 3185, to get

3185 = 2415 x 1 + 770

Step 3: We consider the new divisor 2415 and the new remainder 770, and apply the division lemma to get

2415 = 770 x 3 + 105

We consider the new divisor 770 and the new remainder 105,and apply the division lemma to get

770 = 105 x 7 + 35

We consider the new divisor 105 and the new remainder 35,and apply the division lemma to get

105 = 35 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 5600 and 3185 is 35

Notice that 35 = HCF(105,35) = HCF(770,105) = HCF(2415,770) = HCF(3185,2415) = HCF(5600,3185) .

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

Step 1: Since 86768 > 35, we apply the division lemma to 86768 and 35, to get

86768 = 35 x 2479 + 3

Step 2: Since the reminder 35 ≠ 0, we apply division lemma to 3 and 35, to get

35 = 3 x 11 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 35 and 86768 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(86768,35) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5600, 3185, 86768 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 5600, 3185, 86768?

Answer: HCF of 5600, 3185, 86768 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5600, 3185, 86768 using Euclid's Algorithm?

Answer: For arbitrary numbers 5600, 3185, 86768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.