Highest Common Factor of 926, 500, 739 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 926, 500, 739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 926, 500, 739 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 926, 500, 739 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 926, 500, 739 is 1.

HCF(926, 500, 739) = 1

HCF of 926, 500, 739 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 926, 500, 739 is 1.

Highest Common Factor of 926,500,739 using Euclid's algorithm

Highest Common Factor of 926,500,739 is 1

Step 1: Since 926 > 500, we apply the division lemma to 926 and 500, to get

926 = 500 x 1 + 426

Step 2: Since the reminder 500 ≠ 0, we apply division lemma to 426 and 500, to get

500 = 426 x 1 + 74

Step 3: We consider the new divisor 426 and the new remainder 74, and apply the division lemma to get

426 = 74 x 5 + 56

We consider the new divisor 74 and the new remainder 56,and apply the division lemma to get

74 = 56 x 1 + 18

We consider the new divisor 56 and the new remainder 18,and apply the division lemma to get

56 = 18 x 3 + 2

We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get

18 = 2 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 926 and 500 is 2

Notice that 2 = HCF(18,2) = HCF(56,18) = HCF(74,56) = HCF(426,74) = HCF(500,426) = HCF(926,500) .

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

Step 1: Since 739 > 2, we apply the division lemma to 739 and 2, to get

739 = 2 x 369 + 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 739 is 1

Notice that 1 = HCF(2,1) = HCF(739,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 926, 500, 739 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 926, 500, 739?

Answer: HCF of 926, 500, 739 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 926, 500, 739 using Euclid's Algorithm?

Answer: For arbitrary numbers 926, 500, 739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.