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 4682, 7508 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4682, 7508 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 4682, 7508 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 4682, 7508 is 2.
HCF(4682, 7508) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4682, 7508 is 2.
Step 1: Since 7508 > 4682, we apply the division lemma to 7508 and 4682, to get
7508 = 4682 x 1 + 2826
Step 2: Since the reminder 4682 ≠ 0, we apply division lemma to 2826 and 4682, to get
4682 = 2826 x 1 + 1856
Step 3: We consider the new divisor 2826 and the new remainder 1856, and apply the division lemma to get
2826 = 1856 x 1 + 970
We consider the new divisor 1856 and the new remainder 970,and apply the division lemma to get
1856 = 970 x 1 + 886
We consider the new divisor 970 and the new remainder 886,and apply the division lemma to get
970 = 886 x 1 + 84
We consider the new divisor 886 and the new remainder 84,and apply the division lemma to get
886 = 84 x 10 + 46
We consider the new divisor 84 and the new remainder 46,and apply the division lemma to get
84 = 46 x 1 + 38
We consider the new divisor 46 and the new remainder 38,and apply the division lemma to get
46 = 38 x 1 + 8
We consider the new divisor 38 and the new remainder 8,and apply the division lemma to get
38 = 8 x 4 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4682 and 7508 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(38,8) = HCF(46,38) = HCF(84,46) = HCF(886,84) = HCF(970,886) = HCF(1856,970) = HCF(2826,1856) = HCF(4682,2826) = HCF(7508,4682) .
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 4682, 7508?
Answer: HCF of 4682, 7508 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4682, 7508 using Euclid's Algorithm?
Answer: For arbitrary numbers 4682, 7508 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.