Highest Common Factor of 337, 406, 765, 857 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 337, 406, 765, 857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 337, 406, 765, 857 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 337, 406, 765, 857 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 337, 406, 765, 857 is 1.
HCF(337, 406, 765, 857) = 1
HCF of 337, 406, 765, 857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 337, 406, 765, 857 is 1.
Highest Common Factor of 337,406,765,857 is 1
Step 1: Since 406 > 337, we apply the division lemma to 406 and 337, to get
406 = 337 x 1 + 69
Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 69 and 337, to get
337 = 69 x 4 + 61
Step 3: We consider the new divisor 69 and the new remainder 61, and apply the division lemma to get
69 = 61 x 1 + 8
We consider the new divisor 61 and the new remainder 8,and apply the division lemma to get
61 = 8 x 7 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 337 and 406 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(61,8) = HCF(69,61) = HCF(337,69) = HCF(406,337) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 765 > 1, we apply the division lemma to 765 and 1, to get
765 = 1 x 765 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 765 is 1
Notice that 1 = HCF(765,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 857 > 1, we apply the division lemma to 857 and 1, to get
857 = 1 x 857 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 857 is 1
Notice that 1 = HCF(857,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 337, 406, 765, 857 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 337, 406, 765, 857?
Answer: HCF of 337, 406, 765, 857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 337, 406, 765, 857 using Euclid's Algorithm?
Answer: For arbitrary numbers 337, 406, 765, 857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.