Highest Common Factor of 1675, 8154 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 1675, 8154 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1675, 8154 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 1675, 8154 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 1675, 8154 is 1.

HCF(1675, 8154) = 1

HCF of 1675, 8154 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 1675, 8154 is 1.

Highest Common Factor of 1675,8154 using Euclid's algorithm

Highest Common Factor of 1675,8154 is 1

Step 1: Since 8154 > 1675, we apply the division lemma to 8154 and 1675, to get

8154 = 1675 x 4 + 1454

Step 2: Since the reminder 1675 ≠ 0, we apply division lemma to 1454 and 1675, to get

1675 = 1454 x 1 + 221

Step 3: We consider the new divisor 1454 and the new remainder 221, and apply the division lemma to get

1454 = 221 x 6 + 128

We consider the new divisor 221 and the new remainder 128,and apply the division lemma to get

221 = 128 x 1 + 93

We consider the new divisor 128 and the new remainder 93,and apply the division lemma to get

128 = 93 x 1 + 35

We consider the new divisor 93 and the new remainder 35,and apply the division lemma to get

93 = 35 x 2 + 23

We consider the new divisor 35 and the new remainder 23,and apply the division lemma to get

35 = 23 x 1 + 12

We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get

23 = 12 x 1 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1675 and 8154 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(35,23) = HCF(93,35) = HCF(128,93) = HCF(221,128) = HCF(1454,221) = HCF(1675,1454) = HCF(8154,1675) .

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Frequently Asked Questions on HCF of 1675, 8154 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 1675, 8154?

Answer: HCF of 1675, 8154 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1675, 8154 using Euclid's Algorithm?

Answer: For arbitrary numbers 1675, 8154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.