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 6058, 3787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6058, 3787 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 6058, 3787 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 6058, 3787 is 1.
HCF(6058, 3787) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6058, 3787 is 1.
Step 1: Since 6058 > 3787, we apply the division lemma to 6058 and 3787, to get
6058 = 3787 x 1 + 2271
Step 2: Since the reminder 3787 ≠ 0, we apply division lemma to 2271 and 3787, to get
3787 = 2271 x 1 + 1516
Step 3: We consider the new divisor 2271 and the new remainder 1516, and apply the division lemma to get
2271 = 1516 x 1 + 755
We consider the new divisor 1516 and the new remainder 755,and apply the division lemma to get
1516 = 755 x 2 + 6
We consider the new divisor 755 and the new remainder 6,and apply the division lemma to get
755 = 6 x 125 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6058 and 3787 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(755,6) = HCF(1516,755) = HCF(2271,1516) = HCF(3787,2271) = HCF(6058,3787) .
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 6058, 3787?
Answer: HCF of 6058, 3787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6058, 3787 using Euclid's Algorithm?
Answer: For arbitrary numbers 6058, 3787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.