Highest Common Factor of 430, 803, 975 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 430, 803, 975 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 430, 803, 975 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 430, 803, 975 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 430, 803, 975 is 1.

HCF(430, 803, 975) = 1

HCF of 430, 803, 975 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 430, 803, 975 is 1.

Highest Common Factor of 430,803,975 using Euclid's algorithm

Highest Common Factor of 430,803,975 is 1

Step 1: Since 803 > 430, we apply the division lemma to 803 and 430, to get

803 = 430 x 1 + 373

Step 2: Since the reminder 430 ≠ 0, we apply division lemma to 373 and 430, to get

430 = 373 x 1 + 57

Step 3: We consider the new divisor 373 and the new remainder 57, and apply the division lemma to get

373 = 57 x 6 + 31

We consider the new divisor 57 and the new remainder 31,and apply the division lemma to get

57 = 31 x 1 + 26

We consider the new divisor 31 and the new remainder 26,and apply the division lemma to get

31 = 26 x 1 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 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 430 and 803 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(57,31) = HCF(373,57) = HCF(430,373) = HCF(803,430) .

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

Step 1: Since 975 > 1, we apply the division lemma to 975 and 1, to get

975 = 1 x 975 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 975 is 1

Notice that 1 = HCF(975,1) .

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Frequently Asked Questions on HCF of 430, 803, 975 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 430, 803, 975?

Answer: HCF of 430, 803, 975 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 430, 803, 975 using Euclid's Algorithm?

Answer: For arbitrary numbers 430, 803, 975 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.