Highest Common Factor of 148, 232, 933 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 148, 232, 933 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 148, 232, 933 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 148, 232, 933 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 148, 232, 933 is 1.

HCF(148, 232, 933) = 1

HCF of 148, 232, 933 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 148, 232, 933 is 1.

Highest Common Factor of 148,232,933 using Euclid's algorithm

Highest Common Factor of 148,232,933 is 1

Step 1: Since 232 > 148, we apply the division lemma to 232 and 148, to get

232 = 148 x 1 + 84

Step 2: Since the reminder 148 ≠ 0, we apply division lemma to 84 and 148, to get

148 = 84 x 1 + 64

Step 3: We consider the new divisor 84 and the new remainder 64, and apply the division lemma to get

84 = 64 x 1 + 20

We consider the new divisor 64 and the new remainder 20,and apply the division lemma to get

64 = 20 x 3 + 4

We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 148 and 232 is 4

Notice that 4 = HCF(20,4) = HCF(64,20) = HCF(84,64) = HCF(148,84) = HCF(232,148) .

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

Step 1: Since 933 > 4, we apply the division lemma to 933 and 4, to get

933 = 4 x 233 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, 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 4 and 933 is 1

Notice that 1 = HCF(4,1) = HCF(933,4) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 148, 232, 933 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 148, 232, 933?

Answer: HCF of 148, 232, 933 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 148, 232, 933 using Euclid's Algorithm?

Answer: For arbitrary numbers 148, 232, 933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.