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 4612, 6602 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4612, 6602 is 2 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 4612, 6602 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 4612, 6602 is 2.
HCF(4612, 6602) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4612, 6602 is 2.
Step 1: Since 6602 > 4612, we apply the division lemma to 6602 and 4612, to get
6602 = 4612 x 1 + 1990
Step 2: Since the reminder 4612 ≠ 0, we apply division lemma to 1990 and 4612, to get
4612 = 1990 x 2 + 632
Step 3: We consider the new divisor 1990 and the new remainder 632, and apply the division lemma to get
1990 = 632 x 3 + 94
We consider the new divisor 632 and the new remainder 94,and apply the division lemma to get
632 = 94 x 6 + 68
We consider the new divisor 94 and the new remainder 68,and apply the division lemma to get
94 = 68 x 1 + 26
We consider the new divisor 68 and the new remainder 26,and apply the division lemma to get
68 = 26 x 2 + 16
We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get
26 = 16 x 1 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4612 and 6602 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(68,26) = HCF(94,68) = HCF(632,94) = HCF(1990,632) = HCF(4612,1990) = HCF(6602,4612) .
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 4612, 6602?
Answer: HCF of 4612, 6602 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4612, 6602 using Euclid's Algorithm?
Answer: For arbitrary numbers 4612, 6602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.