Highest Common Factor of 2341, 6362 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 2341, 6362 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2341, 6362 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 2341, 6362 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 2341, 6362 is 1.
HCF(2341, 6362) = 1
HCF of 2341, 6362 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2341, 6362 is 1.
Highest Common Factor of 2341,6362 is 1
Step 1: Since 6362 > 2341, we apply the division lemma to 6362 and 2341, to get
6362 = 2341 x 2 + 1680
Step 2: Since the reminder 2341 ≠ 0, we apply division lemma to 1680 and 2341, to get
2341 = 1680 x 1 + 661
Step 3: We consider the new divisor 1680 and the new remainder 661, and apply the division lemma to get
1680 = 661 x 2 + 358
We consider the new divisor 661 and the new remainder 358,and apply the division lemma to get
661 = 358 x 1 + 303
We consider the new divisor 358 and the new remainder 303,and apply the division lemma to get
358 = 303 x 1 + 55
We consider the new divisor 303 and the new remainder 55,and apply the division lemma to get
303 = 55 x 5 + 28
We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get
55 = 28 x 1 + 27
We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get
28 = 27 x 1 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2341 and 6362 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(303,55) = HCF(358,303) = HCF(661,358) = HCF(1680,661) = HCF(2341,1680) = HCF(6362,2341) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2341, 6362 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 2341, 6362?
Answer: HCF of 2341, 6362 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2341, 6362 using Euclid's Algorithm?
Answer: For arbitrary numbers 2341, 6362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
