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 2202, 4251 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2202, 4251 is 3 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 2202, 4251 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 2202, 4251 is 3.
HCF(2202, 4251) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2202, 4251 is 3.
Step 1: Since 4251 > 2202, we apply the division lemma to 4251 and 2202, to get
4251 = 2202 x 1 + 2049
Step 2: Since the reminder 2202 ≠ 0, we apply division lemma to 2049 and 2202, to get
2202 = 2049 x 1 + 153
Step 3: We consider the new divisor 2049 and the new remainder 153, and apply the division lemma to get
2049 = 153 x 13 + 60
We consider the new divisor 153 and the new remainder 60,and apply the division lemma to get
153 = 60 x 2 + 33
We consider the new divisor 60 and the new remainder 33,and apply the division lemma to get
60 = 33 x 1 + 27
We consider the new divisor 33 and the new remainder 27,and apply the division lemma to get
33 = 27 x 1 + 6
We consider the new divisor 27 and the new remainder 6,and apply the division lemma to get
27 = 6 x 4 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2202 and 4251 is 3
Notice that 3 = HCF(6,3) = HCF(27,6) = HCF(33,27) = HCF(60,33) = HCF(153,60) = HCF(2049,153) = HCF(2202,2049) = HCF(4251,2202) .
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 2202, 4251?
Answer: HCF of 2202, 4251 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2202, 4251 using Euclid's Algorithm?
Answer: For arbitrary numbers 2202, 4251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.