Highest Common Factor of 258, 913, 719 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, 913, 719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 258, 913, 719 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, 913, 719 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, 913, 719 is 1.
HCF(258, 913, 719) = 1
HCF of 258, 913, 719 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, 913, 719 is 1.
Highest Common Factor of 258,913,719 is 1
Step 1: Since 913 > 258, we apply the division lemma to 913 and 258, to get
913 = 258 x 3 + 139
Step 2: Since the reminder 258 ≠ 0, we apply division lemma to 139 and 258, to get
258 = 139 x 1 + 119
Step 3: We consider the new divisor 139 and the new remainder 119, and apply the division lemma to get
139 = 119 x 1 + 20
We consider the new divisor 119 and the new remainder 20,and apply the division lemma to get
119 = 20 x 5 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 258 and 913 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(119,20) = HCF(139,119) = HCF(258,139) = HCF(913,258) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 719 > 1, we apply the division lemma to 719 and 1, to get
719 = 1 x 719 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 719 is 1
Notice that 1 = HCF(719,1) .
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, 913, 719 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, 913, 719?
Answer: HCF of 258, 913, 719 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 258, 913, 719 using Euclid's Algorithm?
Answer: For arbitrary numbers 258, 913, 719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.