Highest Common Factor of 611, 780, 624 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 611, 780, 624 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 611, 780, 624 is 13 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 611, 780, 624 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 611, 780, 624 is 13.

HCF(611, 780, 624) = 13

HCF of 611, 780, 624 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 611, 780, 624 is 13.

Highest Common Factor of 611,780,624 using Euclid's algorithm

Highest Common Factor of 611,780,624 is 13

Step 1: Since 780 > 611, we apply the division lemma to 780 and 611, to get

780 = 611 x 1 + 169

Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 169 and 611, to get

611 = 169 x 3 + 104

Step 3: We consider the new divisor 169 and the new remainder 104, and apply the division lemma to get

169 = 104 x 1 + 65

We consider the new divisor 104 and the new remainder 65,and apply the division lemma to get

104 = 65 x 1 + 39

We consider the new divisor 65 and the new remainder 39,and apply the division lemma to get

65 = 39 x 1 + 26

We consider the new divisor 39 and the new remainder 26,and apply the division lemma to get

39 = 26 x 1 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 611 and 780 is 13

Notice that 13 = HCF(26,13) = HCF(39,26) = HCF(65,39) = HCF(104,65) = HCF(169,104) = HCF(611,169) = HCF(780,611) .

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

Step 1: Since 624 > 13, we apply the division lemma to 624 and 13, to get

624 = 13 x 48 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 13 and 624 is 13

Notice that 13 = HCF(624,13) .

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Frequently Asked Questions on HCF of 611, 780, 624 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 611, 780, 624?

Answer: HCF of 611, 780, 624 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 611, 780, 624 using Euclid's Algorithm?

Answer: For arbitrary numbers 611, 780, 624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.