Highest Common Factor of 904, 48499 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, 48499 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 48499 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, 48499 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, 48499 is 1.
HCF(904, 48499) = 1
HCF of 904, 48499 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, 48499 is 1.
Highest Common Factor of 904,48499 is 1
Step 1: Since 48499 > 904, we apply the division lemma to 48499 and 904, to get
48499 = 904 x 53 + 587
Step 2: Since the reminder 904 ≠ 0, we apply division lemma to 587 and 904, to get
904 = 587 x 1 + 317
Step 3: We consider the new divisor 587 and the new remainder 317, and apply the division lemma to get
587 = 317 x 1 + 270
We consider the new divisor 317 and the new remainder 270,and apply the division lemma to get
317 = 270 x 1 + 47
We consider the new divisor 270 and the new remainder 47,and apply the division lemma to get
270 = 47 x 5 + 35
We consider the new divisor 47 and the new remainder 35,and apply the division lemma to get
47 = 35 x 1 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 904 and 48499 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(47,35) = HCF(270,47) = HCF(317,270) = HCF(587,317) = HCF(904,587) = HCF(48499,904) .
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Frequently Asked Questions on HCF of 904, 48499 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, 48499?
Answer: HCF of 904, 48499 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 48499 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 48499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.