Highest Common Factor of 524, 843, 42 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 524, 843, 42 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 524, 843, 42 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 524, 843, 42 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 524, 843, 42 is 1.
HCF(524, 843, 42) = 1
HCF of 524, 843, 42 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 524, 843, 42 is 1.
Highest Common Factor of 524,843,42 is 1
Step 1: Since 843 > 524, we apply the division lemma to 843 and 524, to get
843 = 524 x 1 + 319
Step 2: Since the reminder 524 ≠ 0, we apply division lemma to 319 and 524, to get
524 = 319 x 1 + 205
Step 3: We consider the new divisor 319 and the new remainder 205, and apply the division lemma to get
319 = 205 x 1 + 114
We consider the new divisor 205 and the new remainder 114,and apply the division lemma to get
205 = 114 x 1 + 91
We consider the new divisor 114 and the new remainder 91,and apply the division lemma to get
114 = 91 x 1 + 23
We consider the new divisor 91 and the new remainder 23,and apply the division lemma to get
91 = 23 x 3 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 524 and 843 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(91,23) = HCF(114,91) = HCF(205,114) = HCF(319,205) = HCF(524,319) = HCF(843,524) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 42 > 1, we apply the division lemma to 42 and 1, to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 42 is 1
Notice that 1 = HCF(42,1) .
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Frequently Asked Questions on HCF of 524, 843, 42 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 524, 843, 42?
Answer: HCF of 524, 843, 42 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 524, 843, 42 using Euclid's Algorithm?
Answer: For arbitrary numbers 524, 843, 42 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.