Highest Common Factor of 4137, 3002 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 4137, 3002 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4137, 3002 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 4137, 3002 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 4137, 3002 is 1.

HCF(4137, 3002) = 1

HCF of 4137, 3002 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 4137, 3002 is 1.

Highest Common Factor of 4137,3002 using Euclid's algorithm

Highest Common Factor of 4137,3002 is 1

Step 1: Since 4137 > 3002, we apply the division lemma to 4137 and 3002, to get

4137 = 3002 x 1 + 1135

Step 2: Since the reminder 3002 ≠ 0, we apply division lemma to 1135 and 3002, to get

3002 = 1135 x 2 + 732

Step 3: We consider the new divisor 1135 and the new remainder 732, and apply the division lemma to get

1135 = 732 x 1 + 403

We consider the new divisor 732 and the new remainder 403,and apply the division lemma to get

732 = 403 x 1 + 329

We consider the new divisor 403 and the new remainder 329,and apply the division lemma to get

403 = 329 x 1 + 74

We consider the new divisor 329 and the new remainder 74,and apply the division lemma to get

329 = 74 x 4 + 33

We consider the new divisor 74 and the new remainder 33,and apply the division lemma to get

74 = 33 x 2 + 8

We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get

33 = 8 x 4 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4137 and 3002 is 1

Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(74,33) = HCF(329,74) = HCF(403,329) = HCF(732,403) = HCF(1135,732) = HCF(3002,1135) = HCF(4137,3002) .

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Frequently Asked Questions on HCF of 4137, 3002 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 4137, 3002?

Answer: HCF of 4137, 3002 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4137, 3002 using Euclid's Algorithm?

Answer: For arbitrary numbers 4137, 3002 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.