Highest Common Factor of 508, 703, 430 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 508, 703, 430 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 508, 703, 430 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 508, 703, 430 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 508, 703, 430 is 1.

HCF(508, 703, 430) = 1

HCF of 508, 703, 430 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 508, 703, 430 is 1.

Highest Common Factor of 508,703,430 using Euclid's algorithm

Highest Common Factor of 508,703,430 is 1

Step 1: Since 703 > 508, we apply the division lemma to 703 and 508, to get

703 = 508 x 1 + 195

Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 195 and 508, to get

508 = 195 x 2 + 118

Step 3: We consider the new divisor 195 and the new remainder 118, and apply the division lemma to get

195 = 118 x 1 + 77

We consider the new divisor 118 and the new remainder 77,and apply the division lemma to get

118 = 77 x 1 + 41

We consider the new divisor 77 and the new remainder 41,and apply the division lemma to get

77 = 41 x 1 + 36

We consider the new divisor 41 and the new remainder 36,and apply the division lemma to get

41 = 36 x 1 + 5

We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get

36 = 5 x 7 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 508 and 703 is 1

Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(41,36) = HCF(77,41) = HCF(118,77) = HCF(195,118) = HCF(508,195) = HCF(703,508) .

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

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

430 = 1 x 430 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 430 is 1

Notice that 1 = HCF(430,1) .

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Frequently Asked Questions on HCF of 508, 703, 430 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 508, 703, 430?

Answer: HCF of 508, 703, 430 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 508, 703, 430 using Euclid's Algorithm?

Answer: For arbitrary numbers 508, 703, 430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.