Highest Common Factor of 3771, 8873, 50363 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 3771, 8873, 50363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3771, 8873, 50363 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 3771, 8873, 50363 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 3771, 8873, 50363 is 1.

HCF(3771, 8873, 50363) = 1

HCF of 3771, 8873, 50363 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 3771, 8873, 50363 is 1.

Highest Common Factor of 3771,8873,50363 using Euclid's algorithm

Highest Common Factor of 3771,8873,50363 is 1

Step 1: Since 8873 > 3771, we apply the division lemma to 8873 and 3771, to get

8873 = 3771 x 2 + 1331

Step 2: Since the reminder 3771 ≠ 0, we apply division lemma to 1331 and 3771, to get

3771 = 1331 x 2 + 1109

Step 3: We consider the new divisor 1331 and the new remainder 1109, and apply the division lemma to get

1331 = 1109 x 1 + 222

We consider the new divisor 1109 and the new remainder 222,and apply the division lemma to get

1109 = 222 x 4 + 221

We consider the new divisor 222 and the new remainder 221,and apply the division lemma to get

222 = 221 x 1 + 1

We consider the new divisor 221 and the new remainder 1,and apply the division lemma to get

221 = 1 x 221 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3771 and 8873 is 1

Notice that 1 = HCF(221,1) = HCF(222,221) = HCF(1109,222) = HCF(1331,1109) = HCF(3771,1331) = HCF(8873,3771) .

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

Step 1: Since 50363 > 1, we apply the division lemma to 50363 and 1, to get

50363 = 1 x 50363 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50363 is 1

Notice that 1 = HCF(50363,1) .

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Frequently Asked Questions on HCF of 3771, 8873, 50363 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 3771, 8873, 50363?

Answer: HCF of 3771, 8873, 50363 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3771, 8873, 50363 using Euclid's Algorithm?

Answer: For arbitrary numbers 3771, 8873, 50363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.