Highest Common Factor of 4135, 3783 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 4135, 3783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4135, 3783 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 4135, 3783 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 4135, 3783 is 1.
HCF(4135, 3783) = 1
HCF of 4135, 3783 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4135, 3783 is 1.
Highest Common Factor of 4135,3783 is 1
Step 1: Since 4135 > 3783, we apply the division lemma to 4135 and 3783, to get
4135 = 3783 x 1 + 352
Step 2: Since the reminder 3783 ≠ 0, we apply division lemma to 352 and 3783, to get
3783 = 352 x 10 + 263
Step 3: We consider the new divisor 352 and the new remainder 263, and apply the division lemma to get
352 = 263 x 1 + 89
We consider the new divisor 263 and the new remainder 89,and apply the division lemma to get
263 = 89 x 2 + 85
We consider the new divisor 89 and the new remainder 85,and apply the division lemma to get
89 = 85 x 1 + 4
We consider the new divisor 85 and the new remainder 4,and apply the division lemma to get
85 = 4 x 21 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4135 and 3783 is 1
Notice that 1 = HCF(4,1) = HCF(85,4) = HCF(89,85) = HCF(263,89) = HCF(352,263) = HCF(3783,352) = HCF(4135,3783) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4135, 3783 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 4135, 3783?
Answer: HCF of 4135, 3783 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4135, 3783 using Euclid's Algorithm?
Answer: For arbitrary numbers 4135, 3783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.