Highest Common Factor of 7949, 4703 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 7949, 4703 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7949, 4703 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 7949, 4703 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 7949, 4703 is 1.

HCF(7949, 4703) = 1

HCF of 7949, 4703 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 7949, 4703 is 1.

Highest Common Factor of 7949,4703 using Euclid's algorithm

Highest Common Factor of 7949,4703 is 1

Step 1: Since 7949 > 4703, we apply the division lemma to 7949 and 4703, to get

7949 = 4703 x 1 + 3246

Step 2: Since the reminder 4703 ≠ 0, we apply division lemma to 3246 and 4703, to get

4703 = 3246 x 1 + 1457

Step 3: We consider the new divisor 3246 and the new remainder 1457, and apply the division lemma to get

3246 = 1457 x 2 + 332

We consider the new divisor 1457 and the new remainder 332,and apply the division lemma to get

1457 = 332 x 4 + 129

We consider the new divisor 332 and the new remainder 129,and apply the division lemma to get

332 = 129 x 2 + 74

We consider the new divisor 129 and the new remainder 74,and apply the division lemma to get

129 = 74 x 1 + 55

We consider the new divisor 74 and the new remainder 55,and apply the division lemma to get

74 = 55 x 1 + 19

We consider the new divisor 55 and the new remainder 19,and apply the division lemma to get

55 = 19 x 2 + 17

We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get

19 = 17 x 1 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 7949 and 4703 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(55,19) = HCF(74,55) = HCF(129,74) = HCF(332,129) = HCF(1457,332) = HCF(3246,1457) = HCF(4703,3246) = HCF(7949,4703) .

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Frequently Asked Questions on HCF of 7949, 4703 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 7949, 4703?

Answer: HCF of 7949, 4703 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7949, 4703 using Euclid's Algorithm?

Answer: For arbitrary numbers 7949, 4703 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.