Highest Common Factor of 649, 579, 952, 228 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 649, 579, 952, 228 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 649, 579, 952, 228 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 649, 579, 952, 228 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 649, 579, 952, 228 is 1.

HCF(649, 579, 952, 228) = 1

HCF of 649, 579, 952, 228 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 649, 579, 952, 228 is 1.

Highest Common Factor of 649,579,952,228 using Euclid's algorithm

Highest Common Factor of 649,579,952,228 is 1

Step 1: Since 649 > 579, we apply the division lemma to 649 and 579, to get

649 = 579 x 1 + 70

Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 70 and 579, to get

579 = 70 x 8 + 19

Step 3: We consider the new divisor 70 and the new remainder 19, and apply the division lemma to get

70 = 19 x 3 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 649 and 579 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(70,19) = HCF(579,70) = HCF(649,579) .

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

Step 1: Since 952 > 1, we apply the division lemma to 952 and 1, to get

952 = 1 x 952 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 952 is 1

Notice that 1 = HCF(952,1) .

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

Step 1: Since 228 > 1, we apply the division lemma to 228 and 1, to get

228 = 1 x 228 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 228 is 1

Notice that 1 = HCF(228,1) .

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Frequently Asked Questions on HCF of 649, 579, 952, 228 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 649, 579, 952, 228?

Answer: HCF of 649, 579, 952, 228 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 649, 579, 952, 228 using Euclid's Algorithm?

Answer: For arbitrary numbers 649, 579, 952, 228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.