Highest Common Factor of 535, 826, 948, 93 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 535, 826, 948, 93 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 535, 826, 948, 93 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 535, 826, 948, 93 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 535, 826, 948, 93 is 1.

HCF(535, 826, 948, 93) = 1

HCF of 535, 826, 948, 93 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 535, 826, 948, 93 is 1.

Highest Common Factor of 535,826,948,93 using Euclid's algorithm

Highest Common Factor of 535,826,948,93 is 1

Step 1: Since 826 > 535, we apply the division lemma to 826 and 535, to get

826 = 535 x 1 + 291

Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 291 and 535, to get

535 = 291 x 1 + 244

Step 3: We consider the new divisor 291 and the new remainder 244, and apply the division lemma to get

291 = 244 x 1 + 47

We consider the new divisor 244 and the new remainder 47,and apply the division lemma to get

244 = 47 x 5 + 9

We consider the new divisor 47 and the new remainder 9,and apply the division lemma to get

47 = 9 x 5 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 535 and 826 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(47,9) = HCF(244,47) = HCF(291,244) = HCF(535,291) = HCF(826,535) .

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

Step 1: Since 948 > 1, we apply the division lemma to 948 and 1, to get

948 = 1 x 948 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 948 is 1

Notice that 1 = HCF(948,1) .

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

Step 1: Since 93 > 1, we apply the division lemma to 93 and 1, to get

93 = 1 x 93 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93 is 1

Notice that 1 = HCF(93,1) .

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Frequently Asked Questions on HCF of 535, 826, 948, 93 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 535, 826, 948, 93?

Answer: HCF of 535, 826, 948, 93 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 535, 826, 948, 93 using Euclid's Algorithm?

Answer: For arbitrary numbers 535, 826, 948, 93 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.