Highest Common Factor of 930, 565, 24, 772 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 930, 565, 24, 772 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 930, 565, 24, 772 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 930, 565, 24, 772 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 930, 565, 24, 772 is 1.

HCF(930, 565, 24, 772) = 1

HCF of 930, 565, 24, 772 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 930, 565, 24, 772 is 1.

Highest Common Factor of 930,565,24,772 using Euclid's algorithm

Highest Common Factor of 930,565,24,772 is 1

Step 1: Since 930 > 565, we apply the division lemma to 930 and 565, to get

930 = 565 x 1 + 365

Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 365 and 565, to get

565 = 365 x 1 + 200

Step 3: We consider the new divisor 365 and the new remainder 200, and apply the division lemma to get

365 = 200 x 1 + 165

We consider the new divisor 200 and the new remainder 165,and apply the division lemma to get

200 = 165 x 1 + 35

We consider the new divisor 165 and the new remainder 35,and apply the division lemma to get

165 = 35 x 4 + 25

We consider the new divisor 35 and the new remainder 25,and apply the division lemma to get

35 = 25 x 1 + 10

We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get

25 = 10 x 2 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 930 and 565 is 5

Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(165,35) = HCF(200,165) = HCF(365,200) = HCF(565,365) = HCF(930,565) .

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

Step 1: Since 24 > 5, we apply the division lemma to 24 and 5, to get

24 = 5 x 4 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 24 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) .

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

Step 1: Since 772 > 1, we apply the division lemma to 772 and 1, to get

772 = 1 x 772 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 772 is 1

Notice that 1 = HCF(772,1) .

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Frequently Asked Questions on HCF of 930, 565, 24, 772 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 930, 565, 24, 772?

Answer: HCF of 930, 565, 24, 772 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 930, 565, 24, 772 using Euclid's Algorithm?

Answer: For arbitrary numbers 930, 565, 24, 772 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.