Highest Common Factor of 3770, 6167 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 3770, 6167 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3770, 6167 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 3770, 6167 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 3770, 6167 is 1.

HCF(3770, 6167) = 1

HCF of 3770, 6167 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 3770, 6167 is 1.

Highest Common Factor of 3770,6167 using Euclid's algorithm

Highest Common Factor of 3770,6167 is 1

Step 1: Since 6167 > 3770, we apply the division lemma to 6167 and 3770, to get

6167 = 3770 x 1 + 2397

Step 2: Since the reminder 3770 ≠ 0, we apply division lemma to 2397 and 3770, to get

3770 = 2397 x 1 + 1373

Step 3: We consider the new divisor 2397 and the new remainder 1373, and apply the division lemma to get

2397 = 1373 x 1 + 1024

We consider the new divisor 1373 and the new remainder 1024,and apply the division lemma to get

1373 = 1024 x 1 + 349

We consider the new divisor 1024 and the new remainder 349,and apply the division lemma to get

1024 = 349 x 2 + 326

We consider the new divisor 349 and the new remainder 326,and apply the division lemma to get

349 = 326 x 1 + 23

We consider the new divisor 326 and the new remainder 23,and apply the division lemma to get

326 = 23 x 14 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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 3770 and 6167 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(326,23) = HCF(349,326) = HCF(1024,349) = HCF(1373,1024) = HCF(2397,1373) = HCF(3770,2397) = HCF(6167,3770) .

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Frequently Asked Questions on HCF of 3770, 6167 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 3770, 6167?

Answer: HCF of 3770, 6167 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3770, 6167 using Euclid's Algorithm?

Answer: For arbitrary numbers 3770, 6167 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.