Highest Common Factor of 652, 994, 503 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 652, 994, 503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 652, 994, 503 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 652, 994, 503 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 652, 994, 503 is 1.

HCF(652, 994, 503) = 1

HCF of 652, 994, 503 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 652, 994, 503 is 1.

Highest Common Factor of 652,994,503 using Euclid's algorithm

Highest Common Factor of 652,994,503 is 1

Step 1: Since 994 > 652, we apply the division lemma to 994 and 652, to get

994 = 652 x 1 + 342

Step 2: Since the reminder 652 ≠ 0, we apply division lemma to 342 and 652, to get

652 = 342 x 1 + 310

Step 3: We consider the new divisor 342 and the new remainder 310, and apply the division lemma to get

342 = 310 x 1 + 32

We consider the new divisor 310 and the new remainder 32,and apply the division lemma to get

310 = 32 x 9 + 22

We consider the new divisor 32 and the new remainder 22,and apply the division lemma to get

32 = 22 x 1 + 10

We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get

22 = 10 x 2 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 652 and 994 is 2

Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(32,22) = HCF(310,32) = HCF(342,310) = HCF(652,342) = HCF(994,652) .

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

Step 1: Since 503 > 2, we apply the division lemma to 503 and 2, to get

503 = 2 x 251 + 1

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

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 503 is 1

Notice that 1 = HCF(2,1) = HCF(503,2) .

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Frequently Asked Questions on HCF of 652, 994, 503 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 652, 994, 503?

Answer: HCF of 652, 994, 503 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 652, 994, 503 using Euclid's Algorithm?

Answer: For arbitrary numbers 652, 994, 503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.