Highest Common Factor of 723, 404, 844, 281 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 723, 404, 844, 281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 723, 404, 844, 281 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 723, 404, 844, 281 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 723, 404, 844, 281 is 1.
HCF(723, 404, 844, 281) = 1
HCF of 723, 404, 844, 281 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 723, 404, 844, 281 is 1.
Highest Common Factor of 723,404,844,281 is 1
Step 1: Since 723 > 404, we apply the division lemma to 723 and 404, to get
723 = 404 x 1 + 319
Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 319 and 404, to get
404 = 319 x 1 + 85
Step 3: We consider the new divisor 319 and the new remainder 85, and apply the division lemma to get
319 = 85 x 3 + 64
We consider the new divisor 85 and the new remainder 64,and apply the division lemma to get
85 = 64 x 1 + 21
We consider the new divisor 64 and the new remainder 21,and apply the division lemma to get
64 = 21 x 3 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 723 and 404 is 1
Notice that 1 = HCF(21,1) = HCF(64,21) = HCF(85,64) = HCF(319,85) = HCF(404,319) = HCF(723,404) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 844 > 1, we apply the division lemma to 844 and 1, to get
844 = 1 x 844 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 844 is 1
Notice that 1 = HCF(844,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 281 > 1, we apply the division lemma to 281 and 1, to get
281 = 1 x 281 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 281 is 1
Notice that 1 = HCF(281,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 723, 404, 844, 281 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 723, 404, 844, 281?
Answer: HCF of 723, 404, 844, 281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 723, 404, 844, 281 using Euclid's Algorithm?
Answer: For arbitrary numbers 723, 404, 844, 281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.