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 547, 6344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 547, 6344 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 547, 6344 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 547, 6344 is 1.
HCF(547, 6344) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 547, 6344 is 1.
Step 1: Since 6344 > 547, we apply the division lemma to 6344 and 547, to get
6344 = 547 x 11 + 327
Step 2: Since the reminder 547 ≠ 0, we apply division lemma to 327 and 547, to get
547 = 327 x 1 + 220
Step 3: We consider the new divisor 327 and the new remainder 220, and apply the division lemma to get
327 = 220 x 1 + 107
We consider the new divisor 220 and the new remainder 107,and apply the division lemma to get
220 = 107 x 2 + 6
We consider the new divisor 107 and the new remainder 6,and apply the division lemma to get
107 = 6 x 17 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 547 and 6344 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(107,6) = HCF(220,107) = HCF(327,220) = HCF(547,327) = HCF(6344,547) .
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 547, 6344?
Answer: HCF of 547, 6344 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 547, 6344 using Euclid's Algorithm?
Answer: For arbitrary numbers 547, 6344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.