Highest Common Factor of 3407, 827 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 3407, 827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3407, 827 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 3407, 827 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 3407, 827 is 1.
HCF(3407, 827) = 1
HCF of 3407, 827 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3407, 827 is 1.
Highest Common Factor of 3407,827 is 1
Step 1: Since 3407 > 827, we apply the division lemma to 3407 and 827, to get
3407 = 827 x 4 + 99
Step 2: Since the reminder 827 ≠ 0, we apply division lemma to 99 and 827, to get
827 = 99 x 8 + 35
Step 3: We consider the new divisor 99 and the new remainder 35, and apply the division lemma to get
99 = 35 x 2 + 29
We consider the new divisor 35 and the new remainder 29,and apply the division lemma to get
35 = 29 x 1 + 6
We consider the new divisor 29 and the new remainder 6,and apply the division lemma to get
29 = 6 x 4 + 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 3407 and 827 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(29,6) = HCF(35,29) = HCF(99,35) = HCF(827,99) = HCF(3407,827) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3407, 827 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 3407, 827?
Answer: HCF of 3407, 827 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3407, 827 using Euclid's Algorithm?
Answer: For arbitrary numbers 3407, 827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.