Highest Common Factor of 502, 361, 28 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 502, 361, 28 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 502, 361, 28 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 502, 361, 28 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 502, 361, 28 is 1.
HCF(502, 361, 28) = 1
HCF of 502, 361, 28 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 502, 361, 28 is 1.
Highest Common Factor of 502,361,28 is 1
Step 1: Since 502 > 361, we apply the division lemma to 502 and 361, to get
502 = 361 x 1 + 141
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 141 and 361, to get
361 = 141 x 2 + 79
Step 3: We consider the new divisor 141 and the new remainder 79, and apply the division lemma to get
141 = 79 x 1 + 62
We consider the new divisor 79 and the new remainder 62,and apply the division lemma to get
79 = 62 x 1 + 17
We consider the new divisor 62 and the new remainder 17,and apply the division lemma to get
62 = 17 x 3 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 502 and 361 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(62,17) = HCF(79,62) = HCF(141,79) = HCF(361,141) = HCF(502,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28 > 1, we apply the division lemma to 28 and 1, to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28 is 1
Notice that 1 = HCF(28,1) .
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Frequently Asked Questions on HCF of 502, 361, 28 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 502, 361, 28?
Answer: HCF of 502, 361, 28 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 502, 361, 28 using Euclid's Algorithm?
Answer: For arbitrary numbers 502, 361, 28 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.