Highest Common Factor of 835, 553, 516, 738 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 835, 553, 516, 738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 835, 553, 516, 738 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 835, 553, 516, 738 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 835, 553, 516, 738 is 1.

HCF(835, 553, 516, 738) = 1

HCF of 835, 553, 516, 738 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 835, 553, 516, 738 is 1.

Highest Common Factor of 835,553,516,738 using Euclid's algorithm

Highest Common Factor of 835,553,516,738 is 1

Step 1: Since 835 > 553, we apply the division lemma to 835 and 553, to get

835 = 553 x 1 + 282

Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 282 and 553, to get

553 = 282 x 1 + 271

Step 3: We consider the new divisor 282 and the new remainder 271, and apply the division lemma to get

282 = 271 x 1 + 11

We consider the new divisor 271 and the new remainder 11,and apply the division lemma to get

271 = 11 x 24 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 835 and 553 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(271,11) = HCF(282,271) = HCF(553,282) = HCF(835,553) .

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

Step 1: Since 516 > 1, we apply the division lemma to 516 and 1, to get

516 = 1 x 516 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 516 is 1

Notice that 1 = HCF(516,1) .

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

Step 1: Since 738 > 1, we apply the division lemma to 738 and 1, to get

738 = 1 x 738 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 738 is 1

Notice that 1 = HCF(738,1) .

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Frequently Asked Questions on HCF of 835, 553, 516, 738 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 835, 553, 516, 738?

Answer: HCF of 835, 553, 516, 738 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 835, 553, 516, 738 using Euclid's Algorithm?

Answer: For arbitrary numbers 835, 553, 516, 738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.