Highest Common Factor of 475, 520 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 475, 520 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 475, 520 is 5 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 475, 520 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 475, 520 is 5.
HCF(475, 520) = 5
HCF of 475, 520 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 475, 520 is 5.
Highest Common Factor of 475,520 is 5
Step 1: Since 520 > 475, we apply the division lemma to 520 and 475, to get
520 = 475 x 1 + 45
Step 2: Since the reminder 475 ≠ 0, we apply division lemma to 45 and 475, to get
475 = 45 x 10 + 25
Step 3: We consider the new divisor 45 and the new remainder 25, and apply the division lemma to get
45 = 25 x 1 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 475 and 520 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(475,45) = HCF(520,475) .
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Frequently Asked Questions on HCF of 475, 520 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 475, 520?
Answer: HCF of 475, 520 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 475, 520 using Euclid's Algorithm?
Answer: For arbitrary numbers 475, 520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
