Highest Common Factor of 110, 620, 391 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 110, 620, 391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 110, 620, 391 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 110, 620, 391 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 110, 620, 391 is 1.

HCF(110, 620, 391) = 1

HCF of 110, 620, 391 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 110, 620, 391 is 1.

Highest Common Factor of 110,620,391 using Euclid's algorithm

Highest Common Factor of 110,620,391 is 1

Step 1: Since 620 > 110, we apply the division lemma to 620 and 110, to get

620 = 110 x 5 + 70

Step 2: Since the reminder 110 ≠ 0, we apply division lemma to 70 and 110, to get

110 = 70 x 1 + 40

Step 3: We consider the new divisor 70 and the new remainder 40, and apply the division lemma to get

70 = 40 x 1 + 30

We consider the new divisor 40 and the new remainder 30,and apply the division lemma to get

40 = 30 x 1 + 10

We consider the new divisor 30 and the new remainder 10,and apply the division lemma to get

30 = 10 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 110 and 620 is 10

Notice that 10 = HCF(30,10) = HCF(40,30) = HCF(70,40) = HCF(110,70) = HCF(620,110) .


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

Step 1: Since 391 > 10, we apply the division lemma to 391 and 10, to get

391 = 10 x 39 + 1

Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 1 and 10, to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 10 and 391 is 1

Notice that 1 = HCF(10,1) = HCF(391,10) .

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Frequently Asked Questions on HCF of 110, 620, 391 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 110, 620, 391?

Answer: HCF of 110, 620, 391 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 110, 620, 391 using Euclid's Algorithm?

Answer: For arbitrary numbers 110, 620, 391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.