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 5522, 2207 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5522, 2207 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 5522, 2207 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 5522, 2207 is 1.
HCF(5522, 2207) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5522, 2207 is 1.
Step 1: Since 5522 > 2207, we apply the division lemma to 5522 and 2207, to get
5522 = 2207 x 2 + 1108
Step 2: Since the reminder 2207 ≠ 0, we apply division lemma to 1108 and 2207, to get
2207 = 1108 x 1 + 1099
Step 3: We consider the new divisor 1108 and the new remainder 1099, and apply the division lemma to get
1108 = 1099 x 1 + 9
We consider the new divisor 1099 and the new remainder 9,and apply the division lemma to get
1099 = 9 x 122 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5522 and 2207 is 1
Notice that 1 = HCF(9,1) = HCF(1099,9) = HCF(1108,1099) = HCF(2207,1108) = HCF(5522,2207) .
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 5522, 2207?
Answer: HCF of 5522, 2207 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5522, 2207 using Euclid's Algorithm?
Answer: For arbitrary numbers 5522, 2207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.