Highest Common Factor of 3164, 8375 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 3164, 8375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3164, 8375 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 3164, 8375 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 3164, 8375 is 1.

HCF(3164, 8375) = 1

HCF of 3164, 8375 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 3164, 8375 is 1.

Highest Common Factor of 3164,8375 using Euclid's algorithm

Highest Common Factor of 3164,8375 is 1

Step 1: Since 8375 > 3164, we apply the division lemma to 8375 and 3164, to get

8375 = 3164 x 2 + 2047

Step 2: Since the reminder 3164 ≠ 0, we apply division lemma to 2047 and 3164, to get

3164 = 2047 x 1 + 1117

Step 3: We consider the new divisor 2047 and the new remainder 1117, and apply the division lemma to get

2047 = 1117 x 1 + 930

We consider the new divisor 1117 and the new remainder 930,and apply the division lemma to get

1117 = 930 x 1 + 187

We consider the new divisor 930 and the new remainder 187,and apply the division lemma to get

930 = 187 x 4 + 182

We consider the new divisor 187 and the new remainder 182,and apply the division lemma to get

187 = 182 x 1 + 5

We consider the new divisor 182 and the new remainder 5,and apply the division lemma to get

182 = 5 x 36 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 3164 and 8375 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(182,5) = HCF(187,182) = HCF(930,187) = HCF(1117,930) = HCF(2047,1117) = HCF(3164,2047) = HCF(8375,3164) .

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Frequently Asked Questions on HCF of 3164, 8375 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 3164, 8375?

Answer: HCF of 3164, 8375 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3164, 8375 using Euclid's Algorithm?

Answer: For arbitrary numbers 3164, 8375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.