Highest Common Factor of 392, 620, 871 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 392, 620, 871 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 392, 620, 871 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 392, 620, 871 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 392, 620, 871 is 1.

HCF(392, 620, 871) = 1

HCF of 392, 620, 871 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 392, 620, 871 is 1.

Highest Common Factor of 392,620,871 using Euclid's algorithm

Highest Common Factor of 392,620,871 is 1

Step 1: Since 620 > 392, we apply the division lemma to 620 and 392, to get

620 = 392 x 1 + 228

Step 2: Since the reminder 392 ≠ 0, we apply division lemma to 228 and 392, to get

392 = 228 x 1 + 164

Step 3: We consider the new divisor 228 and the new remainder 164, and apply the division lemma to get

228 = 164 x 1 + 64

We consider the new divisor 164 and the new remainder 64,and apply the division lemma to get

164 = 64 x 2 + 36

We consider the new divisor 64 and the new remainder 36,and apply the division lemma to get

64 = 36 x 1 + 28

We consider the new divisor 36 and the new remainder 28,and apply the division lemma to get

36 = 28 x 1 + 8

We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get

28 = 8 x 3 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 392 and 620 is 4

Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(36,28) = HCF(64,36) = HCF(164,64) = HCF(228,164) = HCF(392,228) = HCF(620,392) .

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

Step 1: Since 871 > 4, we apply the division lemma to 871 and 4, to get

871 = 4 x 217 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: 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 4 and 871 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(871,4) .

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Frequently Asked Questions on HCF of 392, 620, 871 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 392, 620, 871?

Answer: HCF of 392, 620, 871 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 392, 620, 871 using Euclid's Algorithm?

Answer: For arbitrary numbers 392, 620, 871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.