Highest Common Factor of 653, 414, 547 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 653, 414, 547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 653, 414, 547 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 653, 414, 547 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 653, 414, 547 is 1.

HCF(653, 414, 547) = 1

HCF of 653, 414, 547 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 653, 414, 547 is 1.

Highest Common Factor of 653,414,547 using Euclid's algorithm

Highest Common Factor of 653,414,547 is 1

Step 1: Since 653 > 414, we apply the division lemma to 653 and 414, to get

653 = 414 x 1 + 239

Step 2: Since the reminder 414 ≠ 0, we apply division lemma to 239 and 414, to get

414 = 239 x 1 + 175

Step 3: We consider the new divisor 239 and the new remainder 175, and apply the division lemma to get

239 = 175 x 1 + 64

We consider the new divisor 175 and the new remainder 64,and apply the division lemma to get

175 = 64 x 2 + 47

We consider the new divisor 64 and the new remainder 47,and apply the division lemma to get

64 = 47 x 1 + 17

We consider the new divisor 47 and the new remainder 17,and apply the division lemma to get

47 = 17 x 2 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 653 and 414 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(47,17) = HCF(64,47) = HCF(175,64) = HCF(239,175) = HCF(414,239) = HCF(653,414) .

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

Step 1: Since 547 > 1, we apply the division lemma to 547 and 1, to get

547 = 1 x 547 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 547 is 1

Notice that 1 = HCF(547,1) .

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Frequently Asked Questions on HCF of 653, 414, 547 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 653, 414, 547?

Answer: HCF of 653, 414, 547 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 653, 414, 547 using Euclid's Algorithm?

Answer: For arbitrary numbers 653, 414, 547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.