Highest Common Factor of 207, 989, 257, 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 207, 989, 257, 418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 207, 989, 257, 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 207, 989, 257, 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 207, 989, 257, 418 is 1.

HCF(207, 989, 257, 418) = 1

HCF of 207, 989, 257, 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 207, 989, 257, 418 is 1.

Highest Common Factor of 207,989,257,418 using Euclid's algorithm

Highest Common Factor of 207,989,257,418 is 1

Step 1: Since 989 > 207, we apply the division lemma to 989 and 207, to get

989 = 207 x 4 + 161

Step 2: Since the reminder 207 ≠ 0, we apply division lemma to 161 and 207, to get

207 = 161 x 1 + 46

Step 3: We consider the new divisor 161 and the new remainder 46, and apply the division lemma to get

161 = 46 x 3 + 23

We consider the new divisor 46 and the new remainder 23, and apply the division lemma to get

46 = 23 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 207 and 989 is 23

Notice that 23 = HCF(46,23) = HCF(161,46) = HCF(207,161) = HCF(989,207) .

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

Step 1: Since 257 > 23, we apply the division lemma to 257 and 23, to get

257 = 23 x 11 + 4

Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 4 and 23, to get

23 = 4 x 5 + 3

Step 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 23 and 257 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(257,23) .

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) .

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Frequently Asked Questions on HCF of 207, 989, 257, 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 207, 989, 257, 418?

Answer: HCF of 207, 989, 257, 418 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 207, 989, 257, 418 using Euclid's Algorithm?

Answer: For arbitrary numbers 207, 989, 257, 418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.