Highest Common Factor of 880, 544, 399 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 880, 544, 399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 880, 544, 399 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 880, 544, 399 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 880, 544, 399 is 1.

HCF(880, 544, 399) = 1

HCF of 880, 544, 399 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 880, 544, 399 is 1.

Highest Common Factor of 880,544,399 using Euclid's algorithm

Highest Common Factor of 880,544,399 is 1

Step 1: Since 880 > 544, we apply the division lemma to 880 and 544, to get

880 = 544 x 1 + 336

Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 336 and 544, to get

544 = 336 x 1 + 208

Step 3: We consider the new divisor 336 and the new remainder 208, and apply the division lemma to get

336 = 208 x 1 + 128

We consider the new divisor 208 and the new remainder 128,and apply the division lemma to get

208 = 128 x 1 + 80

We consider the new divisor 128 and the new remainder 80,and apply the division lemma to get

128 = 80 x 1 + 48

We consider the new divisor 80 and the new remainder 48,and apply the division lemma to get

80 = 48 x 1 + 32

We consider the new divisor 48 and the new remainder 32,and apply the division lemma to get

48 = 32 x 1 + 16

We consider the new divisor 32 and the new remainder 16,and apply the division lemma to get

32 = 16 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 880 and 544 is 16

Notice that 16 = HCF(32,16) = HCF(48,32) = HCF(80,48) = HCF(128,80) = HCF(208,128) = HCF(336,208) = HCF(544,336) = HCF(880,544) .

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

Step 1: Since 399 > 16, we apply the division lemma to 399 and 16, to get

399 = 16 x 24 + 15

Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 15 and 16, to get

16 = 15 x 1 + 1

Step 3: We consider the new divisor 15 and the new remainder 1, and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 16 and 399 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(399,16) .

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Frequently Asked Questions on HCF of 880, 544, 399 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 880, 544, 399?

Answer: HCF of 880, 544, 399 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 880, 544, 399 using Euclid's Algorithm?

Answer: For arbitrary numbers 880, 544, 399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.