Highest Common Factor of 443, 345, 687, 904 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 443, 345, 687, 904 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 443, 345, 687, 904 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 443, 345, 687, 904 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 443, 345, 687, 904 is 1.
HCF(443, 345, 687, 904) = 1
HCF of 443, 345, 687, 904 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 443, 345, 687, 904 is 1.
Highest Common Factor of 443,345,687,904 is 1
Step 1: Since 443 > 345, we apply the division lemma to 443 and 345, to get
443 = 345 x 1 + 98
Step 2: Since the reminder 345 ≠ 0, we apply division lemma to 98 and 345, to get
345 = 98 x 3 + 51
Step 3: We consider the new divisor 98 and the new remainder 51, and apply the division lemma to get
98 = 51 x 1 + 47
We consider the new divisor 51 and the new remainder 47,and apply the division lemma to get
51 = 47 x 1 + 4
We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get
47 = 4 x 11 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 443 and 345 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(51,47) = HCF(98,51) = HCF(345,98) = HCF(443,345) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 687 > 1, we apply the division lemma to 687 and 1, to get
687 = 1 x 687 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 687 is 1
Notice that 1 = HCF(687,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 904 > 1, we apply the division lemma to 904 and 1, to get
904 = 1 x 904 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 904 is 1
Notice that 1 = HCF(904,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 443, 345, 687, 904 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 443, 345, 687, 904?
Answer: HCF of 443, 345, 687, 904 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 443, 345, 687, 904 using Euclid's Algorithm?
Answer: For arbitrary numbers 443, 345, 687, 904 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.