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 522, 5417 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 522, 5417 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 522, 5417 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 522, 5417 is 1.
HCF(522, 5417) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 522, 5417 is 1.
Step 1: Since 5417 > 522, we apply the division lemma to 5417 and 522, to get
5417 = 522 x 10 + 197
Step 2: Since the reminder 522 ≠ 0, we apply division lemma to 197 and 522, to get
522 = 197 x 2 + 128
Step 3: We consider the new divisor 197 and the new remainder 128, and apply the division lemma to get
197 = 128 x 1 + 69
We consider the new divisor 128 and the new remainder 69,and apply the division lemma to get
128 = 69 x 1 + 59
We consider the new divisor 69 and the new remainder 59,and apply the division lemma to get
69 = 59 x 1 + 10
We consider the new divisor 59 and the new remainder 10,and apply the division lemma to get
59 = 10 x 5 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 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 522 and 5417 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(59,10) = HCF(69,59) = HCF(128,69) = HCF(197,128) = HCF(522,197) = HCF(5417,522) .
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 522, 5417?
Answer: HCF of 522, 5417 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 522, 5417 using Euclid's Algorithm?
Answer: For arbitrary numbers 522, 5417 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.