Highest Common Factor of 62, 93, 75, 53 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 62, 93, 75, 53 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 62, 93, 75, 53 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 62, 93, 75, 53 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 62, 93, 75, 53 is 1.

HCF(62, 93, 75, 53) = 1

HCF of 62, 93, 75, 53 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 62, 93, 75, 53 is 1.

Highest Common Factor of 62,93,75,53 using Euclid's algorithm

Highest Common Factor of 62,93,75,53 is 1

Step 1: Since 93 > 62, we apply the division lemma to 93 and 62, to get

93 = 62 x 1 + 31

Step 2: Since the reminder 62 ≠ 0, we apply division lemma to 31 and 62, to get

62 = 31 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 62 and 93 is 31

Notice that 31 = HCF(62,31) = HCF(93,62) .

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

Step 1: Since 75 > 31, we apply the division lemma to 75 and 31, to get

75 = 31 x 2 + 13

Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 13 and 31, to get

31 = 13 x 2 + 5

Step 3: We consider the new divisor 13 and the new remainder 5, and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

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 31 and 75 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(31,13) = HCF(75,31) .

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

Step 1: Since 53 > 1, we apply the division lemma to 53 and 1, to get

53 = 1 x 53 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53 is 1

Notice that 1 = HCF(53,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 62, 93, 75, 53 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 62, 93, 75, 53?

Answer: HCF of 62, 93, 75, 53 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 62, 93, 75, 53 using Euclid's Algorithm?

Answer: For arbitrary numbers 62, 93, 75, 53 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.