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Highest Common Factor of 702, 153, 405, 450 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 702, 153, 405, 450 i.e. 9 the largest integer that leaves a remainder zero for all numbers.

HCF of 702, 153, 405, 450 is 9 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 702, 153, 405, 450 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 702, 153, 405, 450 is 9.

HCF(702, 153, 405, 450) = 9

HCF of 702, 153, 405, 450 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 702, 153, 405, 450 is 9.

Highest Common Factor of 702,153,405,450 using Euclid's algorithm

Step 1: Since 702 > 153, we apply the division lemma to 702 and 153, to get

702 = 153 x 4 + 90

Step 2: Since the reminder 153 ≠ 0, we apply division lemma to 90 and 153, to get

153 = 90 x 1 + 63

Step 3: We consider the new divisor 90 and the new remainder 63, and apply the division lemma to get

90 = 63 x 1 + 27

We consider the new divisor 63 and the new remainder 27,and apply the division lemma to get

63 = 27 x 2 + 9

We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get

27 = 9 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 702 and 153 is 9

Notice that 9 = HCF(27,9) = HCF(63,27) = HCF(90,63) = HCF(153,90) = HCF(702,153) .


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

Step 1: Since 405 > 9, we apply the division lemma to 405 and 9, to get

405 = 9 x 45 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9 and 405 is 9

Notice that 9 = HCF(405,9) .


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

Step 1: Since 450 > 9, we apply the division lemma to 450 and 9, to get

450 = 9 x 50 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9 and 450 is 9

Notice that 9 = HCF(450,9) .

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Frequently Asked Questions on HCF of 702, 153, 405, 450 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 702, 153, 405, 450?

Answer: HCF of 702, 153, 405, 450 is 9 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 702, 153, 405, 450 using Euclid's Algorithm?

Answer: For arbitrary numbers 702, 153, 405, 450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.