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 4227, 3053 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4227, 3053 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 4227, 3053 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 4227, 3053 is 1.
HCF(4227, 3053) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4227, 3053 is 1.
Step 1: Since 4227 > 3053, we apply the division lemma to 4227 and 3053, to get
4227 = 3053 x 1 + 1174
Step 2: Since the reminder 3053 ≠ 0, we apply division lemma to 1174 and 3053, to get
3053 = 1174 x 2 + 705
Step 3: We consider the new divisor 1174 and the new remainder 705, and apply the division lemma to get
1174 = 705 x 1 + 469
We consider the new divisor 705 and the new remainder 469,and apply the division lemma to get
705 = 469 x 1 + 236
We consider the new divisor 469 and the new remainder 236,and apply the division lemma to get
469 = 236 x 1 + 233
We consider the new divisor 236 and the new remainder 233,and apply the division lemma to get
236 = 233 x 1 + 3
We consider the new divisor 233 and the new remainder 3,and apply the division lemma to get
233 = 3 x 77 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 4227 and 3053 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(233,3) = HCF(236,233) = HCF(469,236) = HCF(705,469) = HCF(1174,705) = HCF(3053,1174) = HCF(4227,3053) .
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 4227, 3053?
Answer: HCF of 4227, 3053 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4227, 3053 using Euclid's Algorithm?
Answer: For arbitrary numbers 4227, 3053 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.