Highest Common Factor of 624, 338, 961, 257 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 624, 338, 961, 257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 624, 338, 961, 257 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 624, 338, 961, 257 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 624, 338, 961, 257 is 1.

HCF(624, 338, 961, 257) = 1

HCF of 624, 338, 961, 257 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 624, 338, 961, 257 is 1.

Highest Common Factor of 624,338,961,257 using Euclid's algorithm

Highest Common Factor of 624,338,961,257 is 1

Step 1: Since 624 > 338, we apply the division lemma to 624 and 338, to get

624 = 338 x 1 + 286

Step 2: Since the reminder 338 ≠ 0, we apply division lemma to 286 and 338, to get

338 = 286 x 1 + 52

Step 3: We consider the new divisor 286 and the new remainder 52, and apply the division lemma to get

286 = 52 x 5 + 26

We consider the new divisor 52 and the new remainder 26, and apply the division lemma to get

52 = 26 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 624 and 338 is 26

Notice that 26 = HCF(52,26) = HCF(286,52) = HCF(338,286) = HCF(624,338) .

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

Step 1: Since 961 > 26, we apply the division lemma to 961 and 26, to get

961 = 26 x 36 + 25

Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 25 and 26, to get

26 = 25 x 1 + 1

Step 3: We consider the new divisor 25 and the new remainder 1, and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 26 and 961 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(961,26) .

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

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

257 = 1 x 257 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 257 is 1

Notice that 1 = HCF(257,1) .

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Frequently Asked Questions on HCF of 624, 338, 961, 257 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 624, 338, 961, 257?

Answer: HCF of 624, 338, 961, 257 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 624, 338, 961, 257 using Euclid's Algorithm?

Answer: For arbitrary numbers 624, 338, 961, 257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.