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 3444, 1417 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3444, 1417 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 3444, 1417 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 3444, 1417 is 1.
HCF(3444, 1417) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3444, 1417 is 1.
Step 1: Since 3444 > 1417, we apply the division lemma to 3444 and 1417, to get
3444 = 1417 x 2 + 610
Step 2: Since the reminder 1417 ≠ 0, we apply division lemma to 610 and 1417, to get
1417 = 610 x 2 + 197
Step 3: We consider the new divisor 610 and the new remainder 197, and apply the division lemma to get
610 = 197 x 3 + 19
We consider the new divisor 197 and the new remainder 19,and apply the division lemma to get
197 = 19 x 10 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 3444 and 1417 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(197,19) = HCF(610,197) = HCF(1417,610) = HCF(3444,1417) .
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 3444, 1417?
Answer: HCF of 3444, 1417 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3444, 1417 using Euclid's Algorithm?
Answer: For arbitrary numbers 3444, 1417 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.