Highest Common Factor of 904, 13395 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 904, 13395 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 13395 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 904, 13395 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 904, 13395 is 1.
HCF(904, 13395) = 1
HCF of 904, 13395 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 904, 13395 is 1.
Highest Common Factor of 904,13395 is 1
Step 1: Since 13395 > 904, we apply the division lemma to 13395 and 904, to get
13395 = 904 x 14 + 739
Step 2: Since the reminder 904 ≠ 0, we apply division lemma to 739 and 904, to get
904 = 739 x 1 + 165
Step 3: We consider the new divisor 739 and the new remainder 165, and apply the division lemma to get
739 = 165 x 4 + 79
We consider the new divisor 165 and the new remainder 79,and apply the division lemma to get
165 = 79 x 2 + 7
We consider the new divisor 79 and the new remainder 7,and apply the division lemma to get
79 = 7 x 11 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 904 and 13395 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(79,7) = HCF(165,79) = HCF(739,165) = HCF(904,739) = HCF(13395,904) .
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Frequently Asked Questions on HCF of 904, 13395 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 904, 13395?
Answer: HCF of 904, 13395 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 13395 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 13395 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.