Highest Common Factor of 377, 587, 501 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 377, 587, 501 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 377, 587, 501 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 377, 587, 501 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 377, 587, 501 is 1.

HCF(377, 587, 501) = 1

HCF of 377, 587, 501 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 377, 587, 501 is 1.

Highest Common Factor of 377,587,501 using Euclid's algorithm

Highest Common Factor of 377,587,501 is 1

Step 1: Since 587 > 377, we apply the division lemma to 587 and 377, to get

587 = 377 x 1 + 210

Step 2: Since the reminder 377 ≠ 0, we apply division lemma to 210 and 377, to get

377 = 210 x 1 + 167

Step 3: We consider the new divisor 210 and the new remainder 167, and apply the division lemma to get

210 = 167 x 1 + 43

We consider the new divisor 167 and the new remainder 43,and apply the division lemma to get

167 = 43 x 3 + 38

We consider the new divisor 43 and the new remainder 38,and apply the division lemma to get

43 = 38 x 1 + 5

We consider the new divisor 38 and the new remainder 5,and apply the division lemma to get

38 = 5 x 7 + 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 377 and 587 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(38,5) = HCF(43,38) = HCF(167,43) = HCF(210,167) = HCF(377,210) = HCF(587,377) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 501 > 1, we apply the division lemma to 501 and 1, to get

501 = 1 x 501 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 501 is 1

Notice that 1 = HCF(501,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 377, 587, 501 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 377, 587, 501?

Answer: HCF of 377, 587, 501 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 377, 587, 501 using Euclid's Algorithm?

Answer: For arbitrary numbers 377, 587, 501 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.