Highest Common Factor of 258, 920, 395, 232 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 258, 920, 395, 232 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 258, 920, 395, 232 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 258, 920, 395, 232 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 258, 920, 395, 232 is 1.
HCF(258, 920, 395, 232) = 1
HCF of 258, 920, 395, 232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 258, 920, 395, 232 is 1.
Highest Common Factor of 258,920,395,232 is 1
Step 1: Since 920 > 258, we apply the division lemma to 920 and 258, to get
920 = 258 x 3 + 146
Step 2: Since the reminder 258 ≠ 0, we apply division lemma to 146 and 258, to get
258 = 146 x 1 + 112
Step 3: We consider the new divisor 146 and the new remainder 112, and apply the division lemma to get
146 = 112 x 1 + 34
We consider the new divisor 112 and the new remainder 34,and apply the division lemma to get
112 = 34 x 3 + 10
We consider the new divisor 34 and the new remainder 10,and apply the division lemma to get
34 = 10 x 3 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 258 and 920 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(34,10) = HCF(112,34) = HCF(146,112) = HCF(258,146) = HCF(920,258) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 395 > 2, we apply the division lemma to 395 and 2, to get
395 = 2 x 197 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 395 is 1
Notice that 1 = HCF(2,1) = HCF(395,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 232 > 1, we apply the division lemma to 232 and 1, to get
232 = 1 x 232 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 232 is 1
Notice that 1 = HCF(232,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 258, 920, 395, 232 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 258, 920, 395, 232?
Answer: HCF of 258, 920, 395, 232 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 258, 920, 395, 232 using Euclid's Algorithm?
Answer: For arbitrary numbers 258, 920, 395, 232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.