Highest Common Factor of 380, 626, 191 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 380, 626, 191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 380, 626, 191 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 380, 626, 191 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 380, 626, 191 is 1.

HCF(380, 626, 191) = 1

HCF of 380, 626, 191 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 380, 626, 191 is 1.

Highest Common Factor of 380,626,191 using Euclid's algorithm

Highest Common Factor of 380,626,191 is 1

Step 1: Since 626 > 380, we apply the division lemma to 626 and 380, to get

626 = 380 x 1 + 246

Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 246 and 380, to get

380 = 246 x 1 + 134

Step 3: We consider the new divisor 246 and the new remainder 134, and apply the division lemma to get

246 = 134 x 1 + 112

We consider the new divisor 134 and the new remainder 112,and apply the division lemma to get

134 = 112 x 1 + 22

We consider the new divisor 112 and the new remainder 22,and apply the division lemma to get

112 = 22 x 5 + 2

We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get

22 = 2 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 380 and 626 is 2

Notice that 2 = HCF(22,2) = HCF(112,22) = HCF(134,112) = HCF(246,134) = HCF(380,246) = HCF(626,380) .

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

Step 1: Since 191 > 2, we apply the division lemma to 191 and 2, to get

191 = 2 x 95 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 191 is 1

Notice that 1 = HCF(2,1) = HCF(191,2) .

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Frequently Asked Questions on HCF of 380, 626, 191 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 380, 626, 191?

Answer: HCF of 380, 626, 191 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 380, 626, 191 using Euclid's Algorithm?

Answer: For arbitrary numbers 380, 626, 191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.