Highest Common Factor of 866, 577 using Euclid's algorithm
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 866, 577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 866, 577 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 866, 577 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 866, 577 is 1.
HCF(866, 577) = 1
HCF of 866, 577 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 866, 577 is 1.
Highest Common Factor of 866,577 is 1
Step 1: Since 866 > 577, we apply the division lemma to 866 and 577, to get
866 = 577 x 1 + 289
Step 2: Since the reminder 577 ≠ 0, we apply division lemma to 289 and 577, to get
577 = 289 x 1 + 288
Step 3: We consider the new divisor 289 and the new remainder 288, and apply the division lemma to get
289 = 288 x 1 + 1
We consider the new divisor 288 and the new remainder 1, and apply the division lemma to get
288 = 1 x 288 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 866 and 577 is 1
Notice that 1 = HCF(288,1) = HCF(289,288) = HCF(577,289) = HCF(866,577) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 866, 577 using Euclid's Algorithm
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 866, 577?
Answer: HCF of 866, 577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 866, 577 using Euclid's Algorithm?
Answer: For arbitrary numbers 866, 577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.