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 911, 569 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 911, 569 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 911, 569 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 911, 569 is 1.
HCF(911, 569) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 911, 569 is 1.
Step 1: Since 911 > 569, we apply the division lemma to 911 and 569, to get
911 = 569 x 1 + 342
Step 2: Since the reminder 569 ≠ 0, we apply division lemma to 342 and 569, to get
569 = 342 x 1 + 227
Step 3: We consider the new divisor 342 and the new remainder 227, and apply the division lemma to get
342 = 227 x 1 + 115
We consider the new divisor 227 and the new remainder 115,and apply the division lemma to get
227 = 115 x 1 + 112
We consider the new divisor 115 and the new remainder 112,and apply the division lemma to get
115 = 112 x 1 + 3
We consider the new divisor 112 and the new remainder 3,and apply the division lemma to get
112 = 3 x 37 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 569 is 1
Notice that 1 = HCF(3,1) = HCF(112,3) = HCF(115,112) = HCF(227,115) = HCF(342,227) = HCF(569,342) = HCF(911,569) .
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 911, 569?
Answer: HCF of 911, 569 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 911, 569 using Euclid's Algorithm?
Answer: For arbitrary numbers 911, 569 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.