Highest Common Factor of 442, 563, 468 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 442, 563, 468 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 442, 563, 468 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 442, 563, 468 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 442, 563, 468 is 1.

HCF(442, 563, 468) = 1

HCF of 442, 563, 468 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 442, 563, 468 is 1.

Highest Common Factor of 442,563,468 using Euclid's algorithm

Highest Common Factor of 442,563,468 is 1

Step 1: Since 563 > 442, we apply the division lemma to 563 and 442, to get

563 = 442 x 1 + 121

Step 2: Since the reminder 442 ≠ 0, we apply division lemma to 121 and 442, to get

442 = 121 x 3 + 79

Step 3: We consider the new divisor 121 and the new remainder 79, and apply the division lemma to get

121 = 79 x 1 + 42

We consider the new divisor 79 and the new remainder 42,and apply the division lemma to get

79 = 42 x 1 + 37

We consider the new divisor 42 and the new remainder 37,and apply the division lemma to get

42 = 37 x 1 + 5

We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 442 and 563 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(42,37) = HCF(79,42) = HCF(121,79) = HCF(442,121) = HCF(563,442) .

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

Step 1: Since 468 > 1, we apply the division lemma to 468 and 1, to get

468 = 1 x 468 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 468 is 1

Notice that 1 = HCF(468,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 442, 563, 468 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 442, 563, 468?

Answer: HCF of 442, 563, 468 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 442, 563, 468 using Euclid's Algorithm?

Answer: For arbitrary numbers 442, 563, 468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.