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 1893, 5446, 29625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1893, 5446, 29625 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 1893, 5446, 29625 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 1893, 5446, 29625 is 1.
HCF(1893, 5446, 29625) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1893, 5446, 29625 is 1.
Step 1: Since 5446 > 1893, we apply the division lemma to 5446 and 1893, to get
5446 = 1893 x 2 + 1660
Step 2: Since the reminder 1893 ≠ 0, we apply division lemma to 1660 and 1893, to get
1893 = 1660 x 1 + 233
Step 3: We consider the new divisor 1660 and the new remainder 233, and apply the division lemma to get
1660 = 233 x 7 + 29
We consider the new divisor 233 and the new remainder 29,and apply the division lemma to get
233 = 29 x 8 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1893 and 5446 is 1
Notice that 1 = HCF(29,1) = HCF(233,29) = HCF(1660,233) = HCF(1893,1660) = HCF(5446,1893) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29625 > 1, we apply the division lemma to 29625 and 1, to get
29625 = 1 x 29625 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29625 is 1
Notice that 1 = HCF(29625,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 1893, 5446, 29625?
Answer: HCF of 1893, 5446, 29625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1893, 5446, 29625 using Euclid's Algorithm?
Answer: For arbitrary numbers 1893, 5446, 29625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.