Highest Common Factor of 521, 710 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 521, 710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 521, 710 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 521, 710 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 521, 710 is 1.
HCF(521, 710) = 1
HCF of 521, 710 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 521, 710 is 1.
Highest Common Factor of 521,710 is 1
Step 1: Since 710 > 521, we apply the division lemma to 710 and 521, to get
710 = 521 x 1 + 189
Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 189 and 521, to get
521 = 189 x 2 + 143
Step 3: We consider the new divisor 189 and the new remainder 143, and apply the division lemma to get
189 = 143 x 1 + 46
We consider the new divisor 143 and the new remainder 46,and apply the division lemma to get
143 = 46 x 3 + 5
We consider the new divisor 46 and the new remainder 5,and apply the division lemma to get
46 = 5 x 9 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 521 and 710 is 1
Notice that 1 = HCF(5,1) = HCF(46,5) = HCF(143,46) = HCF(189,143) = HCF(521,189) = HCF(710,521) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 521, 710 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 521, 710?
Answer: HCF of 521, 710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 521, 710 using Euclid's Algorithm?
Answer: For arbitrary numbers 521, 710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.