Highest Common Factor of 6950, 3709 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 6950, 3709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6950, 3709 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 6950, 3709 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 6950, 3709 is 1.

HCF(6950, 3709) = 1

HCF of 6950, 3709 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 6950, 3709 is 1.

Highest Common Factor of 6950,3709 using Euclid's algorithm

Highest Common Factor of 6950,3709 is 1

Step 1: Since 6950 > 3709, we apply the division lemma to 6950 and 3709, to get

6950 = 3709 x 1 + 3241

Step 2: Since the reminder 3709 ≠ 0, we apply division lemma to 3241 and 3709, to get

3709 = 3241 x 1 + 468

Step 3: We consider the new divisor 3241 and the new remainder 468, and apply the division lemma to get

3241 = 468 x 6 + 433

We consider the new divisor 468 and the new remainder 433,and apply the division lemma to get

468 = 433 x 1 + 35

We consider the new divisor 433 and the new remainder 35,and apply the division lemma to get

433 = 35 x 12 + 13

We consider the new divisor 35 and the new remainder 13,and apply the division lemma to get

35 = 13 x 2 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6950 and 3709 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(35,13) = HCF(433,35) = HCF(468,433) = HCF(3241,468) = HCF(3709,3241) = HCF(6950,3709) .

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Frequently Asked Questions on HCF of 6950, 3709 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 6950, 3709?

Answer: HCF of 6950, 3709 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6950, 3709 using Euclid's Algorithm?

Answer: For arbitrary numbers 6950, 3709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.