Highest Common Factor of 526, 938, 281 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 526, 938, 281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 526, 938, 281 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 526, 938, 281 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 526, 938, 281 is 1.

HCF(526, 938, 281) = 1

HCF of 526, 938, 281 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 526, 938, 281 is 1.

Highest Common Factor of 526,938,281 using Euclid's algorithm

Highest Common Factor of 526,938,281 is 1

Step 1: Since 938 > 526, we apply the division lemma to 938 and 526, to get

938 = 526 x 1 + 412

Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 412 and 526, to get

526 = 412 x 1 + 114

Step 3: We consider the new divisor 412 and the new remainder 114, and apply the division lemma to get

412 = 114 x 3 + 70

We consider the new divisor 114 and the new remainder 70,and apply the division lemma to get

114 = 70 x 1 + 44

We consider the new divisor 70 and the new remainder 44,and apply the division lemma to get

70 = 44 x 1 + 26

We consider the new divisor 44 and the new remainder 26,and apply the division lemma to get

44 = 26 x 1 + 18

We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get

26 = 18 x 1 + 8

We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get

18 = 8 x 2 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 526 and 938 is 2

Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(44,26) = HCF(70,44) = HCF(114,70) = HCF(412,114) = HCF(526,412) = HCF(938,526) .

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

Step 1: Since 281 > 2, we apply the division lemma to 281 and 2, to get

281 = 2 x 140 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 281 is 1

Notice that 1 = HCF(2,1) = HCF(281,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 526, 938, 281 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 526, 938, 281?

Answer: HCF of 526, 938, 281 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 526, 938, 281 using Euclid's Algorithm?

Answer: For arbitrary numbers 526, 938, 281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.