Highest Common Factor of 925, 565, 376 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 925, 565, 376 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 925, 565, 376 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 925, 565, 376 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 925, 565, 376 is 1.

HCF(925, 565, 376) = 1

HCF of 925, 565, 376 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 925, 565, 376 is 1.

Highest Common Factor of 925,565,376 using Euclid's algorithm

Highest Common Factor of 925,565,376 is 1

Step 1: Since 925 > 565, we apply the division lemma to 925 and 565, to get

925 = 565 x 1 + 360

Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 360 and 565, to get

565 = 360 x 1 + 205

Step 3: We consider the new divisor 360 and the new remainder 205, and apply the division lemma to get

360 = 205 x 1 + 155

We consider the new divisor 205 and the new remainder 155,and apply the division lemma to get

205 = 155 x 1 + 50

We consider the new divisor 155 and the new remainder 50,and apply the division lemma to get

155 = 50 x 3 + 5

We consider the new divisor 50 and the new remainder 5,and apply the division lemma to get

50 = 5 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 925 and 565 is 5

Notice that 5 = HCF(50,5) = HCF(155,50) = HCF(205,155) = HCF(360,205) = HCF(565,360) = HCF(925,565) .

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

Step 1: Since 376 > 5, we apply the division lemma to 376 and 5, to get

376 = 5 x 75 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 376 is 1

Notice that 1 = HCF(5,1) = HCF(376,5) .

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Frequently Asked Questions on HCF of 925, 565, 376 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 925, 565, 376?

Answer: HCF of 925, 565, 376 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 925, 565, 376 using Euclid's Algorithm?

Answer: For arbitrary numbers 925, 565, 376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.