Highest Common Factor of 534, 801 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 534, 801 i.e. 267 the largest integer that leaves a remainder zero for all numbers.

HCF of 534, 801 is 267 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 534, 801 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 534, 801 is 267.

HCF(534, 801) = 267

HCF of 534, 801 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 534, 801 is 267.

Highest Common Factor of 534,801 using Euclid's algorithm

Highest Common Factor of 534,801 is 267

Step 1: Since 801 > 534, we apply the division lemma to 801 and 534, to get

801 = 534 x 1 + 267

Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 267 and 534, to get

534 = 267 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 267, the HCF of 534 and 801 is 267

Notice that 267 = HCF(534,267) = HCF(801,534) .

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Frequently Asked Questions on HCF of 534, 801 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 534, 801?

Answer: HCF of 534, 801 is 267 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 534, 801 using Euclid's Algorithm?

Answer: For arbitrary numbers 534, 801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.