Highest Common Factor of 545, 877, 619 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 545, 877, 619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 545, 877, 619 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 545, 877, 619 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 545, 877, 619 is 1.

HCF(545, 877, 619) = 1

HCF of 545, 877, 619 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 545, 877, 619 is 1.

Highest Common Factor of 545,877,619 using Euclid's algorithm

Highest Common Factor of 545,877,619 is 1

Step 1: Since 877 > 545, we apply the division lemma to 877 and 545, to get

877 = 545 x 1 + 332

Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 332 and 545, to get

545 = 332 x 1 + 213

Step 3: We consider the new divisor 332 and the new remainder 213, and apply the division lemma to get

332 = 213 x 1 + 119

We consider the new divisor 213 and the new remainder 119,and apply the division lemma to get

213 = 119 x 1 + 94

We consider the new divisor 119 and the new remainder 94,and apply the division lemma to get

119 = 94 x 1 + 25

We consider the new divisor 94 and the new remainder 25,and apply the division lemma to get

94 = 25 x 3 + 19

We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get

25 = 19 x 1 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 545 and 877 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(94,25) = HCF(119,94) = HCF(213,119) = HCF(332,213) = HCF(545,332) = HCF(877,545) .

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

Step 1: Since 619 > 1, we apply the division lemma to 619 and 1, to get

619 = 1 x 619 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 619 is 1

Notice that 1 = HCF(619,1) .

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Frequently Asked Questions on HCF of 545, 877, 619 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 545, 877, 619?

Answer: HCF of 545, 877, 619 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 545, 877, 619 using Euclid's Algorithm?

Answer: For arbitrary numbers 545, 877, 619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.