Highest Common Factor of 644, 887 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 644, 887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 644, 887 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 644, 887 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 644, 887 is 1.
HCF(644, 887) = 1
HCF of 644, 887 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 644, 887 is 1.
Highest Common Factor of 644,887 is 1
Step 1: Since 887 > 644, we apply the division lemma to 887 and 644, to get
887 = 644 x 1 + 243
Step 2: Since the reminder 644 ≠ 0, we apply division lemma to 243 and 644, to get
644 = 243 x 2 + 158
Step 3: We consider the new divisor 243 and the new remainder 158, and apply the division lemma to get
243 = 158 x 1 + 85
We consider the new divisor 158 and the new remainder 85,and apply the division lemma to get
158 = 85 x 1 + 73
We consider the new divisor 85 and the new remainder 73,and apply the division lemma to get
85 = 73 x 1 + 12
We consider the new divisor 73 and the new remainder 12,and apply the division lemma to get
73 = 12 x 6 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 644 and 887 is 1
Notice that 1 = HCF(12,1) = HCF(73,12) = HCF(85,73) = HCF(158,85) = HCF(243,158) = HCF(644,243) = HCF(887,644) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 644, 887 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 644, 887?
Answer: HCF of 644, 887 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 644, 887 using Euclid's Algorithm?
Answer: For arbitrary numbers 644, 887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.