Highest Common Factor of 825, 562, 330, 748 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 825, 562, 330, 748 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 825, 562, 330, 748 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 825, 562, 330, 748 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 825, 562, 330, 748 is 1.

HCF(825, 562, 330, 748) = 1

HCF of 825, 562, 330, 748 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 825, 562, 330, 748 is 1.

Highest Common Factor of 825,562,330,748 using Euclid's algorithm

Highest Common Factor of 825,562,330,748 is 1

Step 1: Since 825 > 562, we apply the division lemma to 825 and 562, to get

825 = 562 x 1 + 263

Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 263 and 562, to get

562 = 263 x 2 + 36

Step 3: We consider the new divisor 263 and the new remainder 36, and apply the division lemma to get

263 = 36 x 7 + 11

We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get

36 = 11 x 3 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 825 and 562 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(263,36) = HCF(562,263) = HCF(825,562) .

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

Step 1: Since 330 > 1, we apply the division lemma to 330 and 1, to get

330 = 1 x 330 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 330 is 1

Notice that 1 = HCF(330,1) .

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

Step 1: Since 748 > 1, we apply the division lemma to 748 and 1, to get

748 = 1 x 748 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 748 is 1

Notice that 1 = HCF(748,1) .

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Frequently Asked Questions on HCF of 825, 562, 330, 748 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 825, 562, 330, 748?

Answer: HCF of 825, 562, 330, 748 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 825, 562, 330, 748 using Euclid's Algorithm?

Answer: For arbitrary numbers 825, 562, 330, 748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.