Highest Common Factor of 264, 334, 948 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 264, 334, 948 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 264, 334, 948 is 2 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 264, 334, 948 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 264, 334, 948 is 2.

HCF(264, 334, 948) = 2

HCF of 264, 334, 948 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 264, 334, 948 is 2.

Highest Common Factor of 264,334,948 using Euclid's algorithm

Highest Common Factor of 264,334,948 is 2

Step 1: Since 334 > 264, we apply the division lemma to 334 and 264, to get

334 = 264 x 1 + 70

Step 2: Since the reminder 264 ≠ 0, we apply division lemma to 70 and 264, to get

264 = 70 x 3 + 54

Step 3: We consider the new divisor 70 and the new remainder 54, and apply the division lemma to get

70 = 54 x 1 + 16

We consider the new divisor 54 and the new remainder 16,and apply the division lemma to get

54 = 16 x 3 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 264 and 334 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(54,16) = HCF(70,54) = HCF(264,70) = HCF(334,264) .

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

Step 1: Since 948 > 2, we apply the division lemma to 948 and 2, to get

948 = 2 x 474 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 948 is 2

Notice that 2 = HCF(948,2) .

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Frequently Asked Questions on HCF of 264, 334, 948 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 264, 334, 948?

Answer: HCF of 264, 334, 948 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 264, 334, 948 using Euclid's Algorithm?

Answer: For arbitrary numbers 264, 334, 948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.