Highest Common Factor of 644, 506, 829 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, 506, 829 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 644, 506, 829 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, 506, 829 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, 506, 829 is 1.
HCF(644, 506, 829) = 1
HCF of 644, 506, 829 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, 506, 829 is 1.
Highest Common Factor of 644,506,829 is 1
Step 1: Since 644 > 506, we apply the division lemma to 644 and 506, to get
644 = 506 x 1 + 138
Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 138 and 506, to get
506 = 138 x 3 + 92
Step 3: We consider the new divisor 138 and the new remainder 92, and apply the division lemma to get
138 = 92 x 1 + 46
We consider the new divisor 92 and the new remainder 46, and apply the division lemma to get
92 = 46 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 46, the HCF of 644 and 506 is 46
Notice that 46 = HCF(92,46) = HCF(138,92) = HCF(506,138) = HCF(644,506) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 829 > 46, we apply the division lemma to 829 and 46, to get
829 = 46 x 18 + 1
Step 2: Since the reminder 46 ≠ 0, we apply division lemma to 1 and 46, to get
46 = 1 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 46 and 829 is 1
Notice that 1 = HCF(46,1) = HCF(829,46) .
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, 506, 829 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, 506, 829?
Answer: HCF of 644, 506, 829 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 644, 506, 829 using Euclid's Algorithm?
Answer: For arbitrary numbers 644, 506, 829 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.