Highest Common Factor of 332, 557, 216, 708 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 332, 557, 216, 708 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 332, 557, 216, 708 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 332, 557, 216, 708 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 332, 557, 216, 708 is 1.

HCF(332, 557, 216, 708) = 1

HCF of 332, 557, 216, 708 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 332, 557, 216, 708 is 1.

Highest Common Factor of 332,557,216,708 using Euclid's algorithm

Highest Common Factor of 332,557,216,708 is 1

Step 1: Since 557 > 332, we apply the division lemma to 557 and 332, to get

557 = 332 x 1 + 225

Step 2: Since the reminder 332 ≠ 0, we apply division lemma to 225 and 332, to get

332 = 225 x 1 + 107

Step 3: We consider the new divisor 225 and the new remainder 107, and apply the division lemma to get

225 = 107 x 2 + 11

We consider the new divisor 107 and the new remainder 11,and apply the division lemma to get

107 = 11 x 9 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 332 and 557 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(107,11) = HCF(225,107) = HCF(332,225) = HCF(557,332) .

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

Step 1: Since 216 > 1, we apply the division lemma to 216 and 1, to get

216 = 1 x 216 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 216 is 1

Notice that 1 = HCF(216,1) .

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

Step 1: Since 708 > 1, we apply the division lemma to 708 and 1, to get

708 = 1 x 708 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 708 is 1

Notice that 1 = HCF(708,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 332, 557, 216, 708 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 332, 557, 216, 708?

Answer: HCF of 332, 557, 216, 708 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 332, 557, 216, 708 using Euclid's Algorithm?

Answer: For arbitrary numbers 332, 557, 216, 708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.