Highest Common Factor of 560, 479, 68, 203 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 560, 479, 68, 203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 560, 479, 68, 203 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 560, 479, 68, 203 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 560, 479, 68, 203 is 1.

HCF(560, 479, 68, 203) = 1

HCF of 560, 479, 68, 203 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 560, 479, 68, 203 is 1.

Highest Common Factor of 560,479,68,203 using Euclid's algorithm

Highest Common Factor of 560,479,68,203 is 1

Step 1: Since 560 > 479, we apply the division lemma to 560 and 479, to get

560 = 479 x 1 + 81

Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 81 and 479, to get

479 = 81 x 5 + 74

Step 3: We consider the new divisor 81 and the new remainder 74, and apply the division lemma to get

81 = 74 x 1 + 7

We consider the new divisor 74 and the new remainder 7,and apply the division lemma to get

74 = 7 x 10 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 560 and 479 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(74,7) = HCF(81,74) = HCF(479,81) = HCF(560,479) .

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

Step 1: Since 68 > 1, we apply the division lemma to 68 and 1, to get

68 = 1 x 68 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68 is 1

Notice that 1 = HCF(68,1) .

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

Step 1: Since 203 > 1, we apply the division lemma to 203 and 1, to get

203 = 1 x 203 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 203 is 1

Notice that 1 = HCF(203,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 560, 479, 68, 203 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 560, 479, 68, 203?

Answer: HCF of 560, 479, 68, 203 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 560, 479, 68, 203 using Euclid's Algorithm?

Answer: For arbitrary numbers 560, 479, 68, 203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.