Highest Common Factor of 545, 741 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, 741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 545, 741 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, 741 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, 741 is 1.

HCF(545, 741) = 1

HCF of 545, 741 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, 741 is 1.

Highest Common Factor of 545,741 using Euclid's algorithm

Highest Common Factor of 545,741 is 1

Step 1: Since 741 > 545, we apply the division lemma to 741 and 545, to get

741 = 545 x 1 + 196

Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 196 and 545, to get

545 = 196 x 2 + 153

Step 3: We consider the new divisor 196 and the new remainder 153, and apply the division lemma to get

196 = 153 x 1 + 43

We consider the new divisor 153 and the new remainder 43,and apply the division lemma to get

153 = 43 x 3 + 24

We consider the new divisor 43 and the new remainder 24,and apply the division lemma to get

43 = 24 x 1 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 545 and 741 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(43,24) = HCF(153,43) = HCF(196,153) = HCF(545,196) = HCF(741,545) .

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Frequently Asked Questions on HCF of 545, 741 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, 741?

Answer: HCF of 545, 741 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 545, 741 using Euclid's Algorithm?

Answer: For arbitrary numbers 545, 741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.