Highest Common Factor of 945, 604, 824 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 945, 604, 824 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 945, 604, 824 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 945, 604, 824 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 945, 604, 824 is 1.

HCF(945, 604, 824) = 1

HCF of 945, 604, 824 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 945, 604, 824 is 1.

Highest Common Factor of 945,604,824 using Euclid's algorithm

Highest Common Factor of 945,604,824 is 1

Step 1: Since 945 > 604, we apply the division lemma to 945 and 604, to get

945 = 604 x 1 + 341

Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 341 and 604, to get

604 = 341 x 1 + 263

Step 3: We consider the new divisor 341 and the new remainder 263, and apply the division lemma to get

341 = 263 x 1 + 78

We consider the new divisor 263 and the new remainder 78,and apply the division lemma to get

263 = 78 x 3 + 29

We consider the new divisor 78 and the new remainder 29,and apply the division lemma to get

78 = 29 x 2 + 20

We consider the new divisor 29 and the new remainder 20,and apply the division lemma to get

29 = 20 x 1 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 945 and 604 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(29,20) = HCF(78,29) = HCF(263,78) = HCF(341,263) = HCF(604,341) = HCF(945,604) .

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

Step 1: Since 824 > 1, we apply the division lemma to 824 and 1, to get

824 = 1 x 824 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 824 is 1

Notice that 1 = HCF(824,1) .

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Frequently Asked Questions on HCF of 945, 604, 824 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 945, 604, 824?

Answer: HCF of 945, 604, 824 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 945, 604, 824 using Euclid's Algorithm?

Answer: For arbitrary numbers 945, 604, 824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.