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 3691, 5924 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3691, 5924 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 3691, 5924 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 3691, 5924 is 1.
HCF(3691, 5924) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3691, 5924 is 1.
Step 1: Since 5924 > 3691, we apply the division lemma to 5924 and 3691, to get
5924 = 3691 x 1 + 2233
Step 2: Since the reminder 3691 ≠ 0, we apply division lemma to 2233 and 3691, to get
3691 = 2233 x 1 + 1458
Step 3: We consider the new divisor 2233 and the new remainder 1458, and apply the division lemma to get
2233 = 1458 x 1 + 775
We consider the new divisor 1458 and the new remainder 775,and apply the division lemma to get
1458 = 775 x 1 + 683
We consider the new divisor 775 and the new remainder 683,and apply the division lemma to get
775 = 683 x 1 + 92
We consider the new divisor 683 and the new remainder 92,and apply the division lemma to get
683 = 92 x 7 + 39
We consider the new divisor 92 and the new remainder 39,and apply the division lemma to get
92 = 39 x 2 + 14
We consider the new divisor 39 and the new remainder 14,and apply the division lemma to get
39 = 14 x 2 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3691 and 5924 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(39,14) = HCF(92,39) = HCF(683,92) = HCF(775,683) = HCF(1458,775) = HCF(2233,1458) = HCF(3691,2233) = HCF(5924,3691) .
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 3691, 5924?
Answer: HCF of 3691, 5924 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3691, 5924 using Euclid's Algorithm?
Answer: For arbitrary numbers 3691, 5924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.