Highest Common Factor of 621, 814, 840, 658 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 621, 814, 840, 658 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 621, 814, 840, 658 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 621, 814, 840, 658 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 621, 814, 840, 658 is 1.
HCF(621, 814, 840, 658) = 1
HCF of 621, 814, 840, 658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 621, 814, 840, 658 is 1.
Highest Common Factor of 621,814,840,658 is 1
Step 1: Since 814 > 621, we apply the division lemma to 814 and 621, to get
814 = 621 x 1 + 193
Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 193 and 621, to get
621 = 193 x 3 + 42
Step 3: We consider the new divisor 193 and the new remainder 42, and apply the division lemma to get
193 = 42 x 4 + 25
We consider the new divisor 42 and the new remainder 25,and apply the division lemma to get
42 = 25 x 1 + 17
We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get
25 = 17 x 1 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 621 and 814 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(42,25) = HCF(193,42) = HCF(621,193) = HCF(814,621) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 840 > 1, we apply the division lemma to 840 and 1, to get
840 = 1 x 840 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 840 is 1
Notice that 1 = HCF(840,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 658 > 1, we apply the division lemma to 658 and 1, to get
658 = 1 x 658 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 658 is 1
Notice that 1 = HCF(658,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 621, 814, 840, 658 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 621, 814, 840, 658?
Answer: HCF of 621, 814, 840, 658 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 621, 814, 840, 658 using Euclid's Algorithm?
Answer: For arbitrary numbers 621, 814, 840, 658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.