Highest Common Factor of 625, 436, 139, 543 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, 436, 139, 543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 625, 436, 139, 543 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, 436, 139, 543 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, 436, 139, 543 is 1.

HCF(625, 436, 139, 543) = 1

HCF of 625, 436, 139, 543 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, 436, 139, 543 is 1.

Highest Common Factor of 625,436,139,543 using Euclid's algorithm

Highest Common Factor of 625,436,139,543 is 1

Step 1: Since 625 > 436, we apply the division lemma to 625 and 436, to get

625 = 436 x 1 + 189

Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 189 and 436, to get

436 = 189 x 2 + 58

Step 3: We consider the new divisor 189 and the new remainder 58, and apply the division lemma to get

189 = 58 x 3 + 15

We consider the new divisor 58 and the new remainder 15,and apply the division lemma to get

58 = 15 x 3 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 625 and 436 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(58,15) = HCF(189,58) = HCF(436,189) = HCF(625,436) .

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

Step 1: Since 139 > 1, we apply the division lemma to 139 and 1, to get

139 = 1 x 139 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 139 is 1

Notice that 1 = HCF(139,1) .

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

Step 1: Since 543 > 1, we apply the division lemma to 543 and 1, to get

543 = 1 x 543 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 543 is 1

Notice that 1 = HCF(543,1) .

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Frequently Asked Questions on HCF of 625, 436, 139, 543 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, 436, 139, 543?

Answer: HCF of 625, 436, 139, 543 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 625, 436, 139, 543 using Euclid's Algorithm?

Answer: For arbitrary numbers 625, 436, 139, 543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.