Highest Common Factor of 337, 908 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, 908 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 337, 908 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, 908 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, 908 is 1.
HCF(337, 908) = 1
HCF of 337, 908 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, 908 is 1.
Highest Common Factor of 337,908 is 1
Step 1: Since 908 > 337, we apply the division lemma to 908 and 337, to get
908 = 337 x 2 + 234
Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 234 and 337, to get
337 = 234 x 1 + 103
Step 3: We consider the new divisor 234 and the new remainder 103, and apply the division lemma to get
234 = 103 x 2 + 28
We consider the new divisor 103 and the new remainder 28,and apply the division lemma to get
103 = 28 x 3 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 337 and 908 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(103,28) = HCF(234,103) = HCF(337,234) = HCF(908,337) .
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Frequently Asked Questions on HCF of 337, 908 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, 908?
Answer: HCF of 337, 908 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 337, 908 using Euclid's Algorithm?
Answer: For arbitrary numbers 337, 908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.