Highest Common Factor of 4072, 7125 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 4072, 7125 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4072, 7125 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 4072, 7125 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 4072, 7125 is 1.

HCF(4072, 7125) = 1

HCF of 4072, 7125 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 4072, 7125 is 1.

Highest Common Factor of 4072,7125 using Euclid's algorithm

Highest Common Factor of 4072,7125 is 1

Step 1: Since 7125 > 4072, we apply the division lemma to 7125 and 4072, to get

7125 = 4072 x 1 + 3053

Step 2: Since the reminder 4072 ≠ 0, we apply division lemma to 3053 and 4072, to get

4072 = 3053 x 1 + 1019

Step 3: We consider the new divisor 3053 and the new remainder 1019, and apply the division lemma to get

3053 = 1019 x 2 + 1015

We consider the new divisor 1019 and the new remainder 1015,and apply the division lemma to get

1019 = 1015 x 1 + 4

We consider the new divisor 1015 and the new remainder 4,and apply the division lemma to get

1015 = 4 x 253 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4072 and 7125 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(1015,4) = HCF(1019,1015) = HCF(3053,1019) = HCF(4072,3053) = HCF(7125,4072) .

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Frequently Asked Questions on HCF of 4072, 7125 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 4072, 7125?

Answer: HCF of 4072, 7125 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4072, 7125 using Euclid's Algorithm?

Answer: For arbitrary numbers 4072, 7125 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.