Highest Common Factor of 640, 887, 418 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 640, 887, 418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 640, 887, 418 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 640, 887, 418 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 640, 887, 418 is 1.

HCF(640, 887, 418) = 1

HCF of 640, 887, 418 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 640, 887, 418 is 1.

Highest Common Factor of 640,887,418 using Euclid's algorithm

Highest Common Factor of 640,887,418 is 1

Step 1: Since 887 > 640, we apply the division lemma to 887 and 640, to get

887 = 640 x 1 + 247

Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 247 and 640, to get

640 = 247 x 2 + 146

Step 3: We consider the new divisor 247 and the new remainder 146, and apply the division lemma to get

247 = 146 x 1 + 101

We consider the new divisor 146 and the new remainder 101,and apply the division lemma to get

146 = 101 x 1 + 45

We consider the new divisor 101 and the new remainder 45,and apply the division lemma to get

101 = 45 x 2 + 11

We consider the new divisor 45 and the new remainder 11,and apply the division lemma to get

45 = 11 x 4 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 640 and 887 is 1

Notice that 1 = HCF(11,1) = HCF(45,11) = HCF(101,45) = HCF(146,101) = HCF(247,146) = HCF(640,247) = HCF(887,640) .

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

Step 1: Since 418 > 1, we apply the division lemma to 418 and 1, to get

418 = 1 x 418 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 418 is 1

Notice that 1 = HCF(418,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 640, 887, 418 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 640, 887, 418?

Answer: HCF of 640, 887, 418 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 640, 887, 418 using Euclid's Algorithm?

Answer: For arbitrary numbers 640, 887, 418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.