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 829, 533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 829, 533 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 829, 533 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 829, 533 is 1.
HCF(829, 533) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 829, 533 is 1.
Step 1: Since 829 > 533, we apply the division lemma to 829 and 533, to get
829 = 533 x 1 + 296
Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 296 and 533, to get
533 = 296 x 1 + 237
Step 3: We consider the new divisor 296 and the new remainder 237, and apply the division lemma to get
296 = 237 x 1 + 59
We consider the new divisor 237 and the new remainder 59,and apply the division lemma to get
237 = 59 x 4 + 1
We consider the new divisor 59 and the new remainder 1,and apply the division lemma to get
59 = 1 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 829 and 533 is 1
Notice that 1 = HCF(59,1) = HCF(237,59) = HCF(296,237) = HCF(533,296) = HCF(829,533) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 829, 533?
Answer: HCF of 829, 533 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 829, 533 using Euclid's Algorithm?
Answer: For arbitrary numbers 829, 533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.