Highest Common Factor of 749, 572, 705, 537 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 749, 572, 705, 537 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 749, 572, 705, 537 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 749, 572, 705, 537 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 749, 572, 705, 537 is 1.

HCF(749, 572, 705, 537) = 1

HCF of 749, 572, 705, 537 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 749, 572, 705, 537 is 1.

Highest Common Factor of 749,572,705,537 using Euclid's algorithm

Highest Common Factor of 749,572,705,537 is 1

Step 1: Since 749 > 572, we apply the division lemma to 749 and 572, to get

749 = 572 x 1 + 177

Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 177 and 572, to get

572 = 177 x 3 + 41

Step 3: We consider the new divisor 177 and the new remainder 41, and apply the division lemma to get

177 = 41 x 4 + 13

We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get

41 = 13 x 3 + 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 749 and 572 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(177,41) = HCF(572,177) = HCF(749,572) .

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

Step 1: Since 705 > 1, we apply the division lemma to 705 and 1, to get

705 = 1 x 705 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 705 is 1

Notice that 1 = HCF(705,1) .

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

Step 1: Since 537 > 1, we apply the division lemma to 537 and 1, to get

537 = 1 x 537 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 537 is 1

Notice that 1 = HCF(537,1) .

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Frequently Asked Questions on HCF of 749, 572, 705, 537 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 749, 572, 705, 537?

Answer: HCF of 749, 572, 705, 537 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 749, 572, 705, 537 using Euclid's Algorithm?

Answer: For arbitrary numbers 749, 572, 705, 537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.