Highest Common Factor of 848, 524, 949 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 848, 524, 949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 848, 524, 949 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 848, 524, 949 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 848, 524, 949 is 1.

HCF(848, 524, 949) = 1

HCF of 848, 524, 949 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 848, 524, 949 is 1.

Highest Common Factor of 848,524,949 using Euclid's algorithm

Highest Common Factor of 848,524,949 is 1

Step 1: Since 848 > 524, we apply the division lemma to 848 and 524, to get

848 = 524 x 1 + 324

Step 2: Since the reminder 524 ≠ 0, we apply division lemma to 324 and 524, to get

524 = 324 x 1 + 200

Step 3: We consider the new divisor 324 and the new remainder 200, and apply the division lemma to get

324 = 200 x 1 + 124

We consider the new divisor 200 and the new remainder 124,and apply the division lemma to get

200 = 124 x 1 + 76

We consider the new divisor 124 and the new remainder 76,and apply the division lemma to get

124 = 76 x 1 + 48

We consider the new divisor 76 and the new remainder 48,and apply the division lemma to get

76 = 48 x 1 + 28

We consider the new divisor 48 and the new remainder 28,and apply the division lemma to get

48 = 28 x 1 + 20

We consider the new divisor 28 and the new remainder 20,and apply the division lemma to get

28 = 20 x 1 + 8

We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get

20 = 8 x 2 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 848 and 524 is 4

Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(28,20) = HCF(48,28) = HCF(76,48) = HCF(124,76) = HCF(200,124) = HCF(324,200) = HCF(524,324) = HCF(848,524) .

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

Step 1: Since 949 > 4, we apply the division lemma to 949 and 4, to get

949 = 4 x 237 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 949 is 1

Notice that 1 = HCF(4,1) = HCF(949,4) .

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Frequently Asked Questions on HCF of 848, 524, 949 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 848, 524, 949?

Answer: HCF of 848, 524, 949 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 848, 524, 949 using Euclid's Algorithm?

Answer: For arbitrary numbers 848, 524, 949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.