Highest Common Factor of 2386, 6652 using Euclid's algorithm
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 2386, 6652 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2386, 6652 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 2386, 6652 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 2386, 6652 is 2.
HCF(2386, 6652) = 2
HCF of 2386, 6652 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2386, 6652 is 2.
Highest Common Factor of 2386,6652 is 2
Step 1: Since 6652 > 2386, we apply the division lemma to 6652 and 2386, to get
6652 = 2386 x 2 + 1880
Step 2: Since the reminder 2386 ≠ 0, we apply division lemma to 1880 and 2386, to get
2386 = 1880 x 1 + 506
Step 3: We consider the new divisor 1880 and the new remainder 506, and apply the division lemma to get
1880 = 506 x 3 + 362
We consider the new divisor 506 and the new remainder 362,and apply the division lemma to get
506 = 362 x 1 + 144
We consider the new divisor 362 and the new remainder 144,and apply the division lemma to get
362 = 144 x 2 + 74
We consider the new divisor 144 and the new remainder 74,and apply the division lemma to get
144 = 74 x 1 + 70
We consider the new divisor 74 and the new remainder 70,and apply the division lemma to get
74 = 70 x 1 + 4
We consider the new divisor 70 and the new remainder 4,and apply the division lemma to get
70 = 4 x 17 + 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 2386 and 6652 is 2
Notice that 2 = HCF(4,2) = HCF(70,4) = HCF(74,70) = HCF(144,74) = HCF(362,144) = HCF(506,362) = HCF(1880,506) = HCF(2386,1880) = HCF(6652,2386) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2386, 6652 using Euclid's Algorithm
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 2386, 6652?
Answer: HCF of 2386, 6652 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2386, 6652 using Euclid's Algorithm?
Answer: For arbitrary numbers 2386, 6652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.