Highest Common Factor of 905, 711 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 905, 711 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 905, 711 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 905, 711 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 905, 711 is 1.
HCF(905, 711) = 1
HCF of 905, 711 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 905, 711 is 1.
Highest Common Factor of 905,711 is 1
Step 1: Since 905 > 711, we apply the division lemma to 905 and 711, to get
905 = 711 x 1 + 194
Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 194 and 711, to get
711 = 194 x 3 + 129
Step 3: We consider the new divisor 194 and the new remainder 129, and apply the division lemma to get
194 = 129 x 1 + 65
We consider the new divisor 129 and the new remainder 65,and apply the division lemma to get
129 = 65 x 1 + 64
We consider the new divisor 65 and the new remainder 64,and apply the division lemma to get
65 = 64 x 1 + 1
We consider the new divisor 64 and the new remainder 1,and apply the division lemma to get
64 = 1 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 905 and 711 is 1
Notice that 1 = HCF(64,1) = HCF(65,64) = HCF(129,65) = HCF(194,129) = HCF(711,194) = HCF(905,711) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 905, 711 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 905, 711?
Answer: HCF of 905, 711 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 905, 711 using Euclid's Algorithm?
Answer: For arbitrary numbers 905, 711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.