Highest Common Factor of 734, 521 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 734, 521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 734, 521 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 734, 521 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 734, 521 is 1.
HCF(734, 521) = 1
HCF of 734, 521 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 734, 521 is 1.
Highest Common Factor of 734,521 is 1
Step 1: Since 734 > 521, we apply the division lemma to 734 and 521, to get
734 = 521 x 1 + 213
Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 213 and 521, to get
521 = 213 x 2 + 95
Step 3: We consider the new divisor 213 and the new remainder 95, and apply the division lemma to get
213 = 95 x 2 + 23
We consider the new divisor 95 and the new remainder 23,and apply the division lemma to get
95 = 23 x 4 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 734 and 521 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(95,23) = HCF(213,95) = HCF(521,213) = HCF(734,521) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 734, 521 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 734, 521?
Answer: HCF of 734, 521 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 734, 521 using Euclid's Algorithm?
Answer: For arbitrary numbers 734, 521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.