Highest Common Factor of 621, 379, 47 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, 379, 47 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 621, 379, 47 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, 379, 47 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, 379, 47 is 1.
HCF(621, 379, 47) = 1
HCF of 621, 379, 47 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, 379, 47 is 1.
Highest Common Factor of 621,379,47 is 1
Step 1: Since 621 > 379, we apply the division lemma to 621 and 379, to get
621 = 379 x 1 + 242
Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 242 and 379, to get
379 = 242 x 1 + 137
Step 3: We consider the new divisor 242 and the new remainder 137, and apply the division lemma to get
242 = 137 x 1 + 105
We consider the new divisor 137 and the new remainder 105,and apply the division lemma to get
137 = 105 x 1 + 32
We consider the new divisor 105 and the new remainder 32,and apply the division lemma to get
105 = 32 x 3 + 9
We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get
32 = 9 x 3 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 621 and 379 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(105,32) = HCF(137,105) = HCF(242,137) = HCF(379,242) = HCF(621,379) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 47 > 1, we apply the division lemma to 47 and 1, to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47 is 1
Notice that 1 = HCF(47,1) .
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, 379, 47 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, 379, 47?
Answer: HCF of 621, 379, 47 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 621, 379, 47 using Euclid's Algorithm?
Answer: For arbitrary numbers 621, 379, 47 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.