Highest Common Factor of 185, 46, 432, 868 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 185, 46, 432, 868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 185, 46, 432, 868 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 185, 46, 432, 868 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 185, 46, 432, 868 is 1.

HCF(185, 46, 432, 868) = 1

HCF of 185, 46, 432, 868 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 185, 46, 432, 868 is 1.

Highest Common Factor of 185,46,432,868 using Euclid's algorithm

Highest Common Factor of 185,46,432,868 is 1

Step 1: Since 185 > 46, we apply the division lemma to 185 and 46, to get

185 = 46 x 4 + 1

Step 2: Since the reminder 46 ≠ 0, we apply division lemma to 1 and 46, to get

46 = 1 x 46 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 185 and 46 is 1

Notice that 1 = HCF(46,1) = HCF(185,46) .


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

Step 1: Since 432 > 1, we apply the division lemma to 432 and 1, to get

432 = 1 x 432 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 432 is 1

Notice that 1 = HCF(432,1) .


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

Step 1: Since 868 > 1, we apply the division lemma to 868 and 1, to get

868 = 1 x 868 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 868 is 1

Notice that 1 = HCF(868,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 185, 46, 432, 868 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 185, 46, 432, 868?

Answer: HCF of 185, 46, 432, 868 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 185, 46, 432, 868 using Euclid's Algorithm?

Answer: For arbitrary numbers 185, 46, 432, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.