Highest Common Factor of 357, 990, 803, 544 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 357, 990, 803, 544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 357, 990, 803, 544 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 357, 990, 803, 544 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 357, 990, 803, 544 is 1.

HCF(357, 990, 803, 544) = 1

HCF of 357, 990, 803, 544 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 357, 990, 803, 544 is 1.

Highest Common Factor of 357,990,803,544 using Euclid's algorithm

Highest Common Factor of 357,990,803,544 is 1

Step 1: Since 990 > 357, we apply the division lemma to 990 and 357, to get

990 = 357 x 2 + 276

Step 2: Since the reminder 357 ≠ 0, we apply division lemma to 276 and 357, to get

357 = 276 x 1 + 81

Step 3: We consider the new divisor 276 and the new remainder 81, and apply the division lemma to get

276 = 81 x 3 + 33

We consider the new divisor 81 and the new remainder 33,and apply the division lemma to get

81 = 33 x 2 + 15

We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get

33 = 15 x 2 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 357 and 990 is 3

Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(81,33) = HCF(276,81) = HCF(357,276) = HCF(990,357) .

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

Step 1: Since 803 > 3, we apply the division lemma to 803 and 3, to get

803 = 3 x 267 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 803 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(803,3) .

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

Step 1: Since 544 > 1, we apply the division lemma to 544 and 1, to get

544 = 1 x 544 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 544 is 1

Notice that 1 = HCF(544,1) .

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Frequently Asked Questions on HCF of 357, 990, 803, 544 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 357, 990, 803, 544?

Answer: HCF of 357, 990, 803, 544 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 357, 990, 803, 544 using Euclid's Algorithm?

Answer: For arbitrary numbers 357, 990, 803, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.