Highest Common Factor of 4648, 681 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 4648, 681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4648, 681 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 4648, 681 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 4648, 681 is 1.

HCF(4648, 681) = 1

HCF of 4648, 681 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 4648, 681 is 1.

Highest Common Factor of 4648,681 using Euclid's algorithm

Highest Common Factor of 4648,681 is 1

Step 1: Since 4648 > 681, we apply the division lemma to 4648 and 681, to get

4648 = 681 x 6 + 562

Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 562 and 681, to get

681 = 562 x 1 + 119

Step 3: We consider the new divisor 562 and the new remainder 119, and apply the division lemma to get

562 = 119 x 4 + 86

We consider the new divisor 119 and the new remainder 86,and apply the division lemma to get

119 = 86 x 1 + 33

We consider the new divisor 86 and the new remainder 33,and apply the division lemma to get

86 = 33 x 2 + 20

We consider the new divisor 33 and the new remainder 20,and apply the division lemma to get

33 = 20 x 1 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4648 and 681 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(33,20) = HCF(86,33) = HCF(119,86) = HCF(562,119) = HCF(681,562) = HCF(4648,681) .

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Frequently Asked Questions on HCF of 4648, 681 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 4648, 681?

Answer: HCF of 4648, 681 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4648, 681 using Euclid's Algorithm?

Answer: For arbitrary numbers 4648, 681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.