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 5942, 3681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5942, 3681 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 5942, 3681 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 5942, 3681 is 1.
HCF(5942, 3681) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5942, 3681 is 1.
Step 1: Since 5942 > 3681, we apply the division lemma to 5942 and 3681, to get
5942 = 3681 x 1 + 2261
Step 2: Since the reminder 3681 ≠ 0, we apply division lemma to 2261 and 3681, to get
3681 = 2261 x 1 + 1420
Step 3: We consider the new divisor 2261 and the new remainder 1420, and apply the division lemma to get
2261 = 1420 x 1 + 841
We consider the new divisor 1420 and the new remainder 841,and apply the division lemma to get
1420 = 841 x 1 + 579
We consider the new divisor 841 and the new remainder 579,and apply the division lemma to get
841 = 579 x 1 + 262
We consider the new divisor 579 and the new remainder 262,and apply the division lemma to get
579 = 262 x 2 + 55
We consider the new divisor 262 and the new remainder 55,and apply the division lemma to get
262 = 55 x 4 + 42
We consider the new divisor 55 and the new remainder 42,and apply the division lemma to get
55 = 42 x 1 + 13
We consider the new divisor 42 and the new remainder 13,and apply the division lemma to get
42 = 13 x 3 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5942 and 3681 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(42,13) = HCF(55,42) = HCF(262,55) = HCF(579,262) = HCF(841,579) = HCF(1420,841) = HCF(2261,1420) = HCF(3681,2261) = HCF(5942,3681) .
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 5942, 3681?
Answer: HCF of 5942, 3681 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5942, 3681 using Euclid's Algorithm?
Answer: For arbitrary numbers 5942, 3681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.