Highest Common Factor of 7518, 4301 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 7518, 4301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7518, 4301 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 7518, 4301 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 7518, 4301 is 1.

HCF(7518, 4301) = 1

HCF of 7518, 4301 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 7518, 4301 is 1.

Highest Common Factor of 7518,4301 using Euclid's algorithm

Highest Common Factor of 7518,4301 is 1

Step 1: Since 7518 > 4301, we apply the division lemma to 7518 and 4301, to get

7518 = 4301 x 1 + 3217

Step 2: Since the reminder 4301 ≠ 0, we apply division lemma to 3217 and 4301, to get

4301 = 3217 x 1 + 1084

Step 3: We consider the new divisor 3217 and the new remainder 1084, and apply the division lemma to get

3217 = 1084 x 2 + 1049

We consider the new divisor 1084 and the new remainder 1049,and apply the division lemma to get

1084 = 1049 x 1 + 35

We consider the new divisor 1049 and the new remainder 35,and apply the division lemma to get

1049 = 35 x 29 + 34

We consider the new divisor 35 and the new remainder 34,and apply the division lemma to get

35 = 34 x 1 + 1

We consider the new divisor 34 and the new remainder 1,and apply the division lemma to get

34 = 1 x 34 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7518 and 4301 is 1

Notice that 1 = HCF(34,1) = HCF(35,34) = HCF(1049,35) = HCF(1084,1049) = HCF(3217,1084) = HCF(4301,3217) = HCF(7518,4301) .

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Frequently Asked Questions on HCF of 7518, 4301 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 7518, 4301?

Answer: HCF of 7518, 4301 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7518, 4301 using Euclid's Algorithm?

Answer: For arbitrary numbers 7518, 4301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.