Highest Common Factor of 624, 379, 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 624, 379, 948 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 624, 379, 948 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, 379, 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 624, 379, 948 is 1.

HCF(624, 379, 948) = 1

HCF of 624, 379, 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 624, 379, 948 is 1.

Highest Common Factor of 624,379,948 using Euclid's algorithm

Highest Common Factor of 624,379,948 is 1

Step 1: Since 624 > 379, we apply the division lemma to 624 and 379, to get

624 = 379 x 1 + 245

Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 245 and 379, to get

379 = 245 x 1 + 134

Step 3: We consider the new divisor 245 and the new remainder 134, and apply the division lemma to get

245 = 134 x 1 + 111

We consider the new divisor 134 and the new remainder 111,and apply the division lemma to get

134 = 111 x 1 + 23

We consider the new divisor 111 and the new remainder 23,and apply the division lemma to get

111 = 23 x 4 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 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 624 and 379 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(111,23) = HCF(134,111) = HCF(245,134) = HCF(379,245) = HCF(624,379) .

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

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

948 = 1 x 948 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 948 is 1

Notice that 1 = HCF(948,1) .

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Frequently Asked Questions on HCF of 624, 379, 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 624, 379, 948?

Answer: HCF of 624, 379, 948 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 624, 379, 948 using Euclid's Algorithm?

Answer: For arbitrary numbers 624, 379, 948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.