Highest Common Factor of 3512, 9105 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 3512, 9105 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3512, 9105 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 3512, 9105 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 3512, 9105 is 1.

HCF(3512, 9105) = 1

HCF of 3512, 9105 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3512, 9105 is 1.

Highest Common Factor of 3512,9105 using Euclid's algorithm

Highest Common Factor of 3512,9105 is 1

Step 1: Since 9105 > 3512, we apply the division lemma to 9105 and 3512, to get

9105 = 3512 x 2 + 2081

Step 2: Since the reminder 3512 ≠ 0, we apply division lemma to 2081 and 3512, to get

3512 = 2081 x 1 + 1431

Step 3: We consider the new divisor 2081 and the new remainder 1431, and apply the division lemma to get

2081 = 1431 x 1 + 650

We consider the new divisor 1431 and the new remainder 650,and apply the division lemma to get

1431 = 650 x 2 + 131

We consider the new divisor 650 and the new remainder 131,and apply the division lemma to get

650 = 131 x 4 + 126

We consider the new divisor 131 and the new remainder 126,and apply the division lemma to get

131 = 126 x 1 + 5

We consider the new divisor 126 and the new remainder 5,and apply the division lemma to get

126 = 5 x 25 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3512 and 9105 is 1

Notice that 1 = HCF(5,1) = HCF(126,5) = HCF(131,126) = HCF(650,131) = HCF(1431,650) = HCF(2081,1431) = HCF(3512,2081) = HCF(9105,3512) .

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Frequently Asked Questions on HCF of 3512, 9105 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 3512, 9105?

Answer: HCF of 3512, 9105 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3512, 9105 using Euclid's Algorithm?

Answer: For arbitrary numbers 3512, 9105 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.