Highest Common Factor of 523, 910 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 523, 910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 523, 910 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 523, 910 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 523, 910 is 1.
HCF(523, 910) = 1
HCF of 523, 910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 523, 910 is 1.
Highest Common Factor of 523,910 is 1
Step 1: Since 910 > 523, we apply the division lemma to 910 and 523, to get
910 = 523 x 1 + 387
Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 387 and 523, to get
523 = 387 x 1 + 136
Step 3: We consider the new divisor 387 and the new remainder 136, and apply the division lemma to get
387 = 136 x 2 + 115
We consider the new divisor 136 and the new remainder 115,and apply the division lemma to get
136 = 115 x 1 + 21
We consider the new divisor 115 and the new remainder 21,and apply the division lemma to get
115 = 21 x 5 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 523 and 910 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(115,21) = HCF(136,115) = HCF(387,136) = HCF(523,387) = HCF(910,523) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 523, 910 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 523, 910?
Answer: HCF of 523, 910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 523, 910 using Euclid's Algorithm?
Answer: For arbitrary numbers 523, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.