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 521, 6643 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 521, 6643 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 521, 6643 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 521, 6643 is 1.
HCF(521, 6643) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 521, 6643 is 1.
Step 1: Since 6643 > 521, we apply the division lemma to 6643 and 521, to get
6643 = 521 x 12 + 391
Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 391 and 521, to get
521 = 391 x 1 + 130
Step 3: We consider the new divisor 391 and the new remainder 130, and apply the division lemma to get
391 = 130 x 3 + 1
We consider the new divisor 130 and the new remainder 1, and apply the division lemma to get
130 = 1 x 130 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 521 and 6643 is 1
Notice that 1 = HCF(130,1) = HCF(391,130) = HCF(521,391) = HCF(6643,521) .
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 521, 6643?
Answer: HCF of 521, 6643 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 521, 6643 using Euclid's Algorithm?
Answer: For arbitrary numbers 521, 6643 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.