Highest Common Factor of 4606, 7263 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 4606, 7263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4606, 7263 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 4606, 7263 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 4606, 7263 is 1.

HCF(4606, 7263) = 1

HCF of 4606, 7263 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 4606, 7263 is 1.

Highest Common Factor of 4606,7263 using Euclid's algorithm

Highest Common Factor of 4606,7263 is 1

Step 1: Since 7263 > 4606, we apply the division lemma to 7263 and 4606, to get

7263 = 4606 x 1 + 2657

Step 2: Since the reminder 4606 ≠ 0, we apply division lemma to 2657 and 4606, to get

4606 = 2657 x 1 + 1949

Step 3: We consider the new divisor 2657 and the new remainder 1949, and apply the division lemma to get

2657 = 1949 x 1 + 708

We consider the new divisor 1949 and the new remainder 708,and apply the division lemma to get

1949 = 708 x 2 + 533

We consider the new divisor 708 and the new remainder 533,and apply the division lemma to get

708 = 533 x 1 + 175

We consider the new divisor 533 and the new remainder 175,and apply the division lemma to get

533 = 175 x 3 + 8

We consider the new divisor 175 and the new remainder 8,and apply the division lemma to get

175 = 8 x 21 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4606 and 7263 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(175,8) = HCF(533,175) = HCF(708,533) = HCF(1949,708) = HCF(2657,1949) = HCF(4606,2657) = HCF(7263,4606) .

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Frequently Asked Questions on HCF of 4606, 7263 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 4606, 7263?

Answer: HCF of 4606, 7263 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4606, 7263 using Euclid's Algorithm?

Answer: For arbitrary numbers 4606, 7263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.