Highest Common Factor of 413, 848, 23, 577 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 413, 848, 23, 577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 413, 848, 23, 577 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 413, 848, 23, 577 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 413, 848, 23, 577 is 1.
HCF(413, 848, 23, 577) = 1
HCF of 413, 848, 23, 577 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 413, 848, 23, 577 is 1.
Highest Common Factor of 413,848,23,577 is 1
Step 1: Since 848 > 413, we apply the division lemma to 848 and 413, to get
848 = 413 x 2 + 22
Step 2: Since the reminder 413 ≠ 0, we apply division lemma to 22 and 413, to get
413 = 22 x 18 + 17
Step 3: We consider the new divisor 22 and the new remainder 17, and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 413 and 848 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(413,22) = HCF(848,413) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23 > 1, we apply the division lemma to 23 and 1, to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23 is 1
Notice that 1 = HCF(23,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 577 > 1, we apply the division lemma to 577 and 1, to get
577 = 1 x 577 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 577 is 1
Notice that 1 = HCF(577,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 413, 848, 23, 577 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 413, 848, 23, 577?
Answer: HCF of 413, 848, 23, 577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 413, 848, 23, 577 using Euclid's Algorithm?
Answer: For arbitrary numbers 413, 848, 23, 577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.