Highest Common Factor of 826, 639 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 826, 639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 826, 639 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 826, 639 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 826, 639 is 1.
HCF(826, 639) = 1
HCF of 826, 639 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 826, 639 is 1.
Highest Common Factor of 826,639 is 1
Step 1: Since 826 > 639, we apply the division lemma to 826 and 639, to get
826 = 639 x 1 + 187
Step 2: Since the reminder 639 ≠ 0, we apply division lemma to 187 and 639, to get
639 = 187 x 3 + 78
Step 3: We consider the new divisor 187 and the new remainder 78, and apply the division lemma to get
187 = 78 x 2 + 31
We consider the new divisor 78 and the new remainder 31,and apply the division lemma to get
78 = 31 x 2 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 826 and 639 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(78,31) = HCF(187,78) = HCF(639,187) = HCF(826,639) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 826, 639 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 826, 639?
Answer: HCF of 826, 639 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 826, 639 using Euclid's Algorithm?
Answer: For arbitrary numbers 826, 639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.