Highest Common Factor of 7039, 4037 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 7039, 4037 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7039, 4037 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 7039, 4037 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 7039, 4037 is 1.

HCF(7039, 4037) = 1

HCF of 7039, 4037 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 7039, 4037 is 1.

Highest Common Factor of 7039,4037 using Euclid's algorithm

Highest Common Factor of 7039,4037 is 1

Step 1: Since 7039 > 4037, we apply the division lemma to 7039 and 4037, to get

7039 = 4037 x 1 + 3002

Step 2: Since the reminder 4037 ≠ 0, we apply division lemma to 3002 and 4037, to get

4037 = 3002 x 1 + 1035

Step 3: We consider the new divisor 3002 and the new remainder 1035, and apply the division lemma to get

3002 = 1035 x 2 + 932

We consider the new divisor 1035 and the new remainder 932,and apply the division lemma to get

1035 = 932 x 1 + 103

We consider the new divisor 932 and the new remainder 103,and apply the division lemma to get

932 = 103 x 9 + 5

We consider the new divisor 103 and the new remainder 5,and apply the division lemma to get

103 = 5 x 20 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 7039 and 4037 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(103,5) = HCF(932,103) = HCF(1035,932) = HCF(3002,1035) = HCF(4037,3002) = HCF(7039,4037) .

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Frequently Asked Questions on HCF of 7039, 4037 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 7039, 4037?

Answer: HCF of 7039, 4037 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7039, 4037 using Euclid's Algorithm?

Answer: For arbitrary numbers 7039, 4037 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.