Highest Common Factor of 5041, 6870 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 5041, 6870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5041, 6870 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 5041, 6870 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 5041, 6870 is 1.

HCF(5041, 6870) = 1

HCF of 5041, 6870 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 5041, 6870 is 1.

Highest Common Factor of 5041,6870 using Euclid's algorithm

Highest Common Factor of 5041,6870 is 1

Step 1: Since 6870 > 5041, we apply the division lemma to 6870 and 5041, to get

6870 = 5041 x 1 + 1829

Step 2: Since the reminder 5041 ≠ 0, we apply division lemma to 1829 and 5041, to get

5041 = 1829 x 2 + 1383

Step 3: We consider the new divisor 1829 and the new remainder 1383, and apply the division lemma to get

1829 = 1383 x 1 + 446

We consider the new divisor 1383 and the new remainder 446,and apply the division lemma to get

1383 = 446 x 3 + 45

We consider the new divisor 446 and the new remainder 45,and apply the division lemma to get

446 = 45 x 9 + 41

We consider the new divisor 45 and the new remainder 41,and apply the division lemma to get

45 = 41 x 1 + 4

We consider the new divisor 41 and the new remainder 4,and apply the division lemma to get

41 = 4 x 10 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5041 and 6870 is 1

Notice that 1 = HCF(4,1) = HCF(41,4) = HCF(45,41) = HCF(446,45) = HCF(1383,446) = HCF(1829,1383) = HCF(5041,1829) = HCF(6870,5041) .

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Frequently Asked Questions on HCF of 5041, 6870 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 5041, 6870?

Answer: HCF of 5041, 6870 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5041, 6870 using Euclid's Algorithm?

Answer: For arbitrary numbers 5041, 6870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.