Highest Common Factor of 716, 405, 733, 57 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 716, 405, 733, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 716, 405, 733, 57 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 716, 405, 733, 57 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 716, 405, 733, 57 is 1.
HCF(716, 405, 733, 57) = 1
HCF of 716, 405, 733, 57 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 716, 405, 733, 57 is 1.
Highest Common Factor of 716,405,733,57 is 1
Step 1: Since 716 > 405, we apply the division lemma to 716 and 405, to get
716 = 405 x 1 + 311
Step 2: Since the reminder 405 ≠ 0, we apply division lemma to 311 and 405, to get
405 = 311 x 1 + 94
Step 3: We consider the new divisor 311 and the new remainder 94, and apply the division lemma to get
311 = 94 x 3 + 29
We consider the new divisor 94 and the new remainder 29,and apply the division lemma to get
94 = 29 x 3 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 716 and 405 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(94,29) = HCF(311,94) = HCF(405,311) = HCF(716,405) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 733 > 1, we apply the division lemma to 733 and 1, to get
733 = 1 x 733 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 733 is 1
Notice that 1 = HCF(733,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1
Notice that 1 = HCF(57,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 716, 405, 733, 57 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 716, 405, 733, 57?
Answer: HCF of 716, 405, 733, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 716, 405, 733, 57 using Euclid's Algorithm?
Answer: For arbitrary numbers 716, 405, 733, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.