Highest Common Factor of 718, 266, 174 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 718, 266, 174 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 718, 266, 174 is 2 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 718, 266, 174 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 718, 266, 174 is 2.
HCF(718, 266, 174) = 2
HCF of 718, 266, 174 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 718, 266, 174 is 2.
Highest Common Factor of 718,266,174 is 2
Step 1: Since 718 > 266, we apply the division lemma to 718 and 266, to get
718 = 266 x 2 + 186
Step 2: Since the reminder 266 ≠ 0, we apply division lemma to 186 and 266, to get
266 = 186 x 1 + 80
Step 3: We consider the new divisor 186 and the new remainder 80, and apply the division lemma to get
186 = 80 x 2 + 26
We consider the new divisor 80 and the new remainder 26,and apply the division lemma to get
80 = 26 x 3 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 718 and 266 is 2
Notice that 2 = HCF(26,2) = HCF(80,26) = HCF(186,80) = HCF(266,186) = HCF(718,266) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 174 > 2, we apply the division lemma to 174 and 2, to get
174 = 2 x 87 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 174 is 2
Notice that 2 = HCF(174,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 718, 266, 174 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 718, 266, 174?
Answer: HCF of 718, 266, 174 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 718, 266, 174 using Euclid's Algorithm?
Answer: For arbitrary numbers 718, 266, 174 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.