Highest Common Factor of 887, 645 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 887, 645 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 887, 645 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 887, 645 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 887, 645 is 1.
HCF(887, 645) = 1
HCF of 887, 645 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 887, 645 is 1.
Highest Common Factor of 887,645 is 1
Step 1: Since 887 > 645, we apply the division lemma to 887 and 645, to get
887 = 645 x 1 + 242
Step 2: Since the reminder 645 ≠ 0, we apply division lemma to 242 and 645, to get
645 = 242 x 2 + 161
Step 3: We consider the new divisor 242 and the new remainder 161, and apply the division lemma to get
242 = 161 x 1 + 81
We consider the new divisor 161 and the new remainder 81,and apply the division lemma to get
161 = 81 x 1 + 80
We consider the new divisor 81 and the new remainder 80,and apply the division lemma to get
81 = 80 x 1 + 1
We consider the new divisor 80 and the new remainder 1,and apply the division lemma to get
80 = 1 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 887 and 645 is 1
Notice that 1 = HCF(80,1) = HCF(81,80) = HCF(161,81) = HCF(242,161) = HCF(645,242) = HCF(887,645) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 887, 645 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 887, 645?
Answer: HCF of 887, 645 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 887, 645 using Euclid's Algorithm?
Answer: For arbitrary numbers 887, 645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.