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 3038, 4467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3038, 4467 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 3038, 4467 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 3038, 4467 is 1.
HCF(3038, 4467) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3038, 4467 is 1.
Step 1: Since 4467 > 3038, we apply the division lemma to 4467 and 3038, to get
4467 = 3038 x 1 + 1429
Step 2: Since the reminder 3038 ≠ 0, we apply division lemma to 1429 and 3038, to get
3038 = 1429 x 2 + 180
Step 3: We consider the new divisor 1429 and the new remainder 180, and apply the division lemma to get
1429 = 180 x 7 + 169
We consider the new divisor 180 and the new remainder 169,and apply the division lemma to get
180 = 169 x 1 + 11
We consider the new divisor 169 and the new remainder 11,and apply the division lemma to get
169 = 11 x 15 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 3038 and 4467 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(169,11) = HCF(180,169) = HCF(1429,180) = HCF(3038,1429) = HCF(4467,3038) .
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 3038, 4467?
Answer: HCF of 3038, 4467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3038, 4467 using Euclid's Algorithm?
Answer: For arbitrary numbers 3038, 4467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.