Highest Common Factor of 6974, 4935 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 6974, 4935 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6974, 4935 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 6974, 4935 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 6974, 4935 is 1.

HCF(6974, 4935) = 1

HCF of 6974, 4935 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 6974, 4935 is 1.

Highest Common Factor of 6974,4935 using Euclid's algorithm

Highest Common Factor of 6974,4935 is 1

Step 1: Since 6974 > 4935, we apply the division lemma to 6974 and 4935, to get

6974 = 4935 x 1 + 2039

Step 2: Since the reminder 4935 ≠ 0, we apply division lemma to 2039 and 4935, to get

4935 = 2039 x 2 + 857

Step 3: We consider the new divisor 2039 and the new remainder 857, and apply the division lemma to get

2039 = 857 x 2 + 325

We consider the new divisor 857 and the new remainder 325,and apply the division lemma to get

857 = 325 x 2 + 207

We consider the new divisor 325 and the new remainder 207,and apply the division lemma to get

325 = 207 x 1 + 118

We consider the new divisor 207 and the new remainder 118,and apply the division lemma to get

207 = 118 x 1 + 89

We consider the new divisor 118 and the new remainder 89,and apply the division lemma to get

118 = 89 x 1 + 29

We consider the new divisor 89 and the new remainder 29,and apply the division lemma to get

89 = 29 x 3 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 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 6974 and 4935 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(89,29) = HCF(118,89) = HCF(207,118) = HCF(325,207) = HCF(857,325) = HCF(2039,857) = HCF(4935,2039) = HCF(6974,4935) .

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Frequently Asked Questions on HCF of 6974, 4935 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 6974, 4935?

Answer: HCF of 6974, 4935 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6974, 4935 using Euclid's Algorithm?

Answer: For arbitrary numbers 6974, 4935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.