Highest Common Factor of 625, 345, 186 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 625, 345, 186 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 625, 345, 186 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 625, 345, 186 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 625, 345, 186 is 1.

HCF(625, 345, 186) = 1

HCF of 625, 345, 186 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 625, 345, 186 is 1.

Highest Common Factor of 625,345,186 using Euclid's algorithm

Highest Common Factor of 625,345,186 is 1

Step 1: Since 625 > 345, we apply the division lemma to 625 and 345, to get

625 = 345 x 1 + 280

Step 2: Since the reminder 345 ≠ 0, we apply division lemma to 280 and 345, to get

345 = 280 x 1 + 65

Step 3: We consider the new divisor 280 and the new remainder 65, and apply the division lemma to get

280 = 65 x 4 + 20

We consider the new divisor 65 and the new remainder 20,and apply the division lemma to get

65 = 20 x 3 + 5

We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get

20 = 5 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 625 and 345 is 5

Notice that 5 = HCF(20,5) = HCF(65,20) = HCF(280,65) = HCF(345,280) = HCF(625,345) .

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

Step 1: Since 186 > 5, we apply the division lemma to 186 and 5, to get

186 = 5 x 37 + 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 186 is 1

Notice that 1 = HCF(5,1) = HCF(186,5) .

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Frequently Asked Questions on HCF of 625, 345, 186 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 625, 345, 186?

Answer: HCF of 625, 345, 186 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 625, 345, 186 using Euclid's Algorithm?

Answer: For arbitrary numbers 625, 345, 186 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.