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 6223, 5505 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6223, 5505 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 6223, 5505 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 6223, 5505 is 1.
HCF(6223, 5505) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6223, 5505 is 1.
Step 1: Since 6223 > 5505, we apply the division lemma to 6223 and 5505, to get
6223 = 5505 x 1 + 718
Step 2: Since the reminder 5505 ≠ 0, we apply division lemma to 718 and 5505, to get
5505 = 718 x 7 + 479
Step 3: We consider the new divisor 718 and the new remainder 479, and apply the division lemma to get
718 = 479 x 1 + 239
We consider the new divisor 479 and the new remainder 239,and apply the division lemma to get
479 = 239 x 2 + 1
We consider the new divisor 239 and the new remainder 1,and apply the division lemma to get
239 = 1 x 239 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6223 and 5505 is 1
Notice that 1 = HCF(239,1) = HCF(479,239) = HCF(718,479) = HCF(5505,718) = HCF(6223,5505) .
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 6223, 5505?
Answer: HCF of 6223, 5505 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6223, 5505 using Euclid's Algorithm?
Answer: For arbitrary numbers 6223, 5505 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.