Highest Common Factor of 8156, 3075 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 8156, 3075 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8156, 3075 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 8156, 3075 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 8156, 3075 is 1.

HCF(8156, 3075) = 1

HCF of 8156, 3075 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 8156, 3075 is 1.

Highest Common Factor of 8156,3075 using Euclid's algorithm

Highest Common Factor of 8156,3075 is 1

Step 1: Since 8156 > 3075, we apply the division lemma to 8156 and 3075, to get

8156 = 3075 x 2 + 2006

Step 2: Since the reminder 3075 ≠ 0, we apply division lemma to 2006 and 3075, to get

3075 = 2006 x 1 + 1069

Step 3: We consider the new divisor 2006 and the new remainder 1069, and apply the division lemma to get

2006 = 1069 x 1 + 937

We consider the new divisor 1069 and the new remainder 937,and apply the division lemma to get

1069 = 937 x 1 + 132

We consider the new divisor 937 and the new remainder 132,and apply the division lemma to get

937 = 132 x 7 + 13

We consider the new divisor 132 and the new remainder 13,and apply the division lemma to get

132 = 13 x 10 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 8156 and 3075 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(132,13) = HCF(937,132) = HCF(1069,937) = HCF(2006,1069) = HCF(3075,2006) = HCF(8156,3075) .

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Frequently Asked Questions on HCF of 8156, 3075 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 8156, 3075?

Answer: HCF of 8156, 3075 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8156, 3075 using Euclid's Algorithm?

Answer: For arbitrary numbers 8156, 3075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.