Highest Common Factor of 479, 850 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 479, 850 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 479, 850 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 479, 850 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 479, 850 is 1.
HCF(479, 850) = 1
HCF of 479, 850 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 479, 850 is 1.
Highest Common Factor of 479,850 is 1
Step 1: Since 850 > 479, we apply the division lemma to 850 and 479, to get
850 = 479 x 1 + 371
Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 371 and 479, to get
479 = 371 x 1 + 108
Step 3: We consider the new divisor 371 and the new remainder 108, and apply the division lemma to get
371 = 108 x 3 + 47
We consider the new divisor 108 and the new remainder 47,and apply the division lemma to get
108 = 47 x 2 + 14
We consider the new divisor 47 and the new remainder 14,and apply the division lemma to get
47 = 14 x 3 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 479 and 850 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(47,14) = HCF(108,47) = HCF(371,108) = HCF(479,371) = HCF(850,479) .
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Frequently Asked Questions on HCF of 479, 850 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 479, 850?
Answer: HCF of 479, 850 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 479, 850 using Euclid's Algorithm?
Answer: For arbitrary numbers 479, 850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.