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 6563, 4444 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6563, 4444 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 6563, 4444 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 6563, 4444 is 1.
HCF(6563, 4444) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6563, 4444 is 1.
Step 1: Since 6563 > 4444, we apply the division lemma to 6563 and 4444, to get
6563 = 4444 x 1 + 2119
Step 2: Since the reminder 4444 ≠ 0, we apply division lemma to 2119 and 4444, to get
4444 = 2119 x 2 + 206
Step 3: We consider the new divisor 2119 and the new remainder 206, and apply the division lemma to get
2119 = 206 x 10 + 59
We consider the new divisor 206 and the new remainder 59,and apply the division lemma to get
206 = 59 x 3 + 29
We consider the new divisor 59 and the new remainder 29,and apply the division lemma to get
59 = 29 x 2 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6563 and 4444 is 1
Notice that 1 = HCF(29,1) = HCF(59,29) = HCF(206,59) = HCF(2119,206) = HCF(4444,2119) = HCF(6563,4444) .
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 6563, 4444?
Answer: HCF of 6563, 4444 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6563, 4444 using Euclid's Algorithm?
Answer: For arbitrary numbers 6563, 4444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.