Highest Common Factor of 550, 708, 430, 69 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 550, 708, 430, 69 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 550, 708, 430, 69 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 550, 708, 430, 69 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 550, 708, 430, 69 is 1.

HCF(550, 708, 430, 69) = 1

HCF of 550, 708, 430, 69 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 550, 708, 430, 69 is 1.

Highest Common Factor of 550,708,430,69 using Euclid's algorithm

Highest Common Factor of 550,708,430,69 is 1

Step 1: Since 708 > 550, we apply the division lemma to 708 and 550, to get

708 = 550 x 1 + 158

Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 158 and 550, to get

550 = 158 x 3 + 76

Step 3: We consider the new divisor 158 and the new remainder 76, and apply the division lemma to get

158 = 76 x 2 + 6

We consider the new divisor 76 and the new remainder 6,and apply the division lemma to get

76 = 6 x 12 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 550 and 708 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(76,6) = HCF(158,76) = HCF(550,158) = HCF(708,550) .

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

Step 1: Since 430 > 2, we apply the division lemma to 430 and 2, to get

430 = 2 x 215 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 430 is 2

Notice that 2 = HCF(430,2) .

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

Step 1: Since 69 > 2, we apply the division lemma to 69 and 2, to get

69 = 2 x 34 + 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 69 is 1

Notice that 1 = HCF(2,1) = HCF(69,2) .

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Frequently Asked Questions on HCF of 550, 708, 430, 69 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 550, 708, 430, 69?

Answer: HCF of 550, 708, 430, 69 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 550, 708, 430, 69 using Euclid's Algorithm?

Answer: For arbitrary numbers 550, 708, 430, 69 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.