Highest Common Factor of 501, 263, 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 501, 263, 520 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 501, 263, 520 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 501, 263, 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 501, 263, 520 is 1.
HCF(501, 263, 520) = 1
HCF of 501, 263, 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 501, 263, 520 is 1.
Highest Common Factor of 501,263,520 is 1
Step 1: Since 501 > 263, we apply the division lemma to 501 and 263, to get
501 = 263 x 1 + 238
Step 2: Since the reminder 263 ≠ 0, we apply division lemma to 238 and 263, to get
263 = 238 x 1 + 25
Step 3: We consider the new divisor 238 and the new remainder 25, and apply the division lemma to get
238 = 25 x 9 + 13
We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get
25 = 13 x 1 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 501 and 263 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(238,25) = HCF(263,238) = HCF(501,263) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 520 > 1, we apply the division lemma to 520 and 1, to get
520 = 1 x 520 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 520 is 1
Notice that 1 = HCF(520,1) .
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Frequently Asked Questions on HCF of 501, 263, 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 501, 263, 520?
Answer: HCF of 501, 263, 520 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 501, 263, 520 using Euclid's Algorithm?
Answer: For arbitrary numbers 501, 263, 520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.