Highest Common Factor of 662, 247, 528 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 662, 247, 528 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 662, 247, 528 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 662, 247, 528 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 662, 247, 528 is 1.

HCF(662, 247, 528) = 1

HCF of 662, 247, 528 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 662, 247, 528 is 1.

Highest Common Factor of 662,247,528 using Euclid's algorithm

Highest Common Factor of 662,247,528 is 1

Step 1: Since 662 > 247, we apply the division lemma to 662 and 247, to get

662 = 247 x 2 + 168

Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 168 and 247, to get

247 = 168 x 1 + 79

Step 3: We consider the new divisor 168 and the new remainder 79, and apply the division lemma to get

168 = 79 x 2 + 10

We consider the new divisor 79 and the new remainder 10,and apply the division lemma to get

79 = 10 x 7 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 662 and 247 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(79,10) = HCF(168,79) = HCF(247,168) = HCF(662,247) .

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

Step 1: Since 528 > 1, we apply the division lemma to 528 and 1, to get

528 = 1 x 528 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 528 is 1

Notice that 1 = HCF(528,1) .

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Frequently Asked Questions on HCF of 662, 247, 528 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 662, 247, 528?

Answer: HCF of 662, 247, 528 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 662, 247, 528 using Euclid's Algorithm?

Answer: For arbitrary numbers 662, 247, 528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.